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QNT 275 Week 2 Homework Problem Set ExcelFile For more course tutorialsvisit www.tutorialrank.com 1. In a hearing test, subjects estimate the loudness (in decibels) of a sound, and the results are: 69, 67, 71, 72, 65, 75, 68, 68, 83, 73,68. Calculate the measures of central tendency (Mean, median, mode) and the measures of dispersion (range, standard deviation,variance). 2.
The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (inminutes). 117, 123, 110, 117, 99, 120, 148, 118, 119, 120, 45, 130,118 What is the 72dpercentile? 3. The average life of Canadian women is 73.90 years, and the standard deviation of the life expectancy of Canadian women is 9 years. Based on Chebyshev's Theorem, determine the upper and lower bounds onthe
average life expectancy of Canadian women such that at least 95 percent of the population is included if the sample size is 100women. 4. The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes): 118, 121, 114, 116, 110,120, 145, 118, 119, 121, 45, 135,118. Calculate the measures of central tendency (Mean, median, mode) and the measures of dispersion (range, standard deviation,variance). 5.
The average lateness for one of the top airline companies is 10 minutes. The variance of the lateness measure is calculated as 8. An airplane arrived 12 minutes after the stated arrival time. Calculate the z-score for the lateness of this particularairplane. 6. According to a survey of the top 15 employers in a major city in the Midwest, a worker spends an average of 400 minutes a day on the job. Suppose the standard deviation is 20 minutes and the time spent is approximately a normaldistribution. What are the times within which approximately 99.73 percent of all workers willfall? 7.
Recently an advertising company called 200 people and asked them to identify the company that was in an ad running nationwide. The following results were obtained. What percentage of those surveyed could not correctly recall the company? 8. A local electronics retailer recently conducted a study on purchasers of large screen televisions. The study recorded the type of television and the credit account balance of the customer at the time of purchase. They obtained the followingresults. What percentage of purchases were plasma televisions by customers with the smallest creditbalances? 9.
The following is a partial relative frequency distribution of grades in an introductory statisticscourse. Find the relative frequency for the Bgrade. 10 A CFO is looking at what percentage of a company's resources are spent on computing. He samples companies in the pharmaceutical industry and develops the following stem-and-leafgraph. What would be the class length used in creating a frequencyhistogram? ..................................................................................................................... ......................................... QNT 275 Week 3 Homework Problem Set ExcelFile For more course tutorialsvisit www.tutorialrank.com 1.
A survey is made in a neighborhood of 90 voters. 75 are Democrats and 15 are Republicans. Of the Democrats, 30 are women, while 7 of the Republicans are women. If one subject from the group is randomly selected, find the probability the individual is a maleRepublican. 2. Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 3 of which are defective. If one item is drawn from each container, what is the probability that only one of the items isdefective? 3. A letter is drawn from the alphabet of 26 letters. What is the probability that the letter drawn is avowel?
4. A family has two children. What is the probability that both are girls, given that at least one is a girl? 5. If n = 29 and p = .6, then the standard deviation of the binomial distributionis
6. Consider a Poisson distribution with an average of 4 customers per minute at the local grocery store. If X = the number of arrivals per minute, find the probability of more than 6 customers arriving within a minute. 7. An important part of the customer service responsibilities of a cable company is the speed with which trouble in service can be repaired. Historically, the data show that the likelihood is 0.70 that troubles in a residential service can be repaired on the same day. For the first four troubles reported on a given day, what is the probability that all four will be repaired on the sameday?
8. Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found to be normally distributed with a mean of 29 minutes and a standard deviation of 6 minutes. Suppose that in an effort to provide better service to the public, the director of the local office is permitted to provide discounts to those individuals whose waiting time exceeds a predetermined time. The director decides that 10 percent of the customers should receive this discount. What number of minutes do they need to wait to receive the discount? 9. An apple juice producer buys all his apples from a conglomerate of apple growers in one northwestern state. The amount of juice obtained from each of these apples is approximately normally distributed with a mean of 2.38 ounces and a standard deviation of 0.1 ounce. What is the probability that a randomly selected apple will contain more than 2.40 ounces? 10
While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 mand 8.00 m. What is the probability that a randomly selected depth is between 2.25 m and 5.00m? ..................................................................................................................... ......................................... QNT 275 Week 4 Homework Problem Set ExcelFile For more course tutorialsvisit www.tutorialrank.com 1. A sample of 100 items has a population standard deviation of 5.9 and a mean of 32. Construct a 95 percent confidence interval forμ. 2.
At the end of 1990, 1991, and 1992, the average prices of a share of stock in a portfolio were $34.75, $34.65, and $31.25 respectively. To investigate the average share price at the end of 1993, a random sample of 75 stocks was drawn and their closing prices on the last trading day of 1993 were observed with a mean of 33.78 and a standard deviationof 14.25. Estimate the average price of a share of stock in the portfolio at the end of 1993 with a 90 percent confidenceinterval. 3. A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.3 and σ= 0.3. Suppose a random sample of 1200 male students is selected and the GPA for each student is calculated. Find the interval that contains 90 percent of the sample means for malestudents. 4. A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population mean of 80 lb and standard deviation of 6 lb, respectively, then basedon
a sample size of 100 boxes, what is the probability that the average weight of the boxes will exceed 83lb? 5. A random sample of size 100 is taken from a population with mean 64 and standard deviation 5.2. Find P(x bar < 60). ..................................................................................................................... ......................................... QNT 275T Apply Week 1 Connect Exercise (AllPossible QuestionAnswers) For more course tutorialsvisit www.tutorialrank.com Week 1 Connect Exercise (All Possible QuestionAnswers) QNT/275T
College entrance exam scores, such as SAT scores, are an example of a(n)variable. is a necessary component of a runsplot. Jerseynumbersofsoccerplayersisanexampleofa(n)variable. An identification of police officers by rank would represent a(n)level of measurement. Ais a set of assumptions about how sample data are selected and about the population from which the sample data areselected. A person's telephone area code is an exampleofa(n)variable. Which of the following is a quantitativevarible?
Which of the following is not a supervised learning technique in predictiveanalytics? Any characteristic of an element iscalleda. uses traditional or newer graphics to present visual summaries of businessinformation. is a necessary component of a runsplot. A(n)variable can have values that indicates into which of several categories of a population itbelongs Ais a set of assumptions about how sample data are selected and about the population from which the sample data areselected. Examining all population measurements iscalleda. sampling is where we know the chance that each element will be included in the sample, Which allows us to make statistical inferences about the samplepopulation. Statisticalrefers to using a sample of measurements and making generalizations about the important aspects ofpopulation. A yes or noquestionis. The two types of quantitative variables are Which of the following is a categoricalvariable?
.......................................................................................................................................................................................................................................... ......................................... QNT 275T Apply Week 2 Connect Exercise (AllPossible QuestionAnswers) For more course tutorialsvisit www.tutorialrank.com 1) An interval that contains a specified percentage of the individual measurements is calleda(n)interval. 2) A CFO is looking at what percentage of a company's resources are spent on computing. He samples companies in the pharmaceutical industry and develops the following stem-and-leafgraph.
What would be the class length used in creating a frequencyhistogram? 3) When grouping a large sample of measurements into classes, the is a better toolthan the. 4) All of the following are measures of central tendency exceptthe .
5) The average lateness for one of the top airline companies is 10 minutes. The variance of the lateness measure is calculated as 9. An airplane arrived 13 minutes after the stated arrival time. Calculate the z- score for the lateness of this particularairplane. 6) If a population distribution is skewed to the right, then, given a random sample from that population, one would expect thatthe . 7) Local electronics retailer recently conducted a study on purchasers of large screen televisions. The study recorded the type of television and the credit account balance of the customer at the time of purchase. They obtained the followingresults.
What percentage of purchases were plasma televisions by customers with the smallest creditbalances? 8) Which of the following graphical tools is not used to study the shapes of distributions? 9) A flaw possessed by a population or sample unitis .
10) A relative frequency curve having a long tail to the right is said tobe.
Wk 2: Apply: Week 2 Connect Exercise (All Possible Question Answers) 1.Aflawpossessedbyapopulationorsampleunitis. 2. The average lateness for one of the top airline companies is 10 minutes. The variance of the lateness measure is calculated as 9. An airplane arrived 13 minutes after the stated arrival time. Calculate the z- score for the lateness of this particularairplane. 3. The following is a partial relative frequency distribution of grades in an introductory statisticscourse.
Find the relative frequency for the Bgrade. 4. The average life of Canadian women is 73.75 years, and the standard deviation of the life expectancy of Canadian women is 6.5 years. Based on Chebyshev's Theorem, determine the upper and lower bounds on the average life expectancy of Canadian women such that at least 90 percent of the population isincluded.
5. The Rivertown city council is attempting to choose one of four sites (A, B, C, or D) as the location for its new emergency facility. After the new emergency facility becomes available for service, the current emergency facility will be shut down. The project manager has estimated the following response times in minutes from each of the proposed sites to the four areas that must be served by the emergency facility. The number of emergency runs from the current emergency facility to each of the four areas over the past year is asfollows:
6. Compute the weighted mean response time from the proposed locations and determine which proposed site should be selected for the new emergencyfacility. 7. Which of the following graphical tools is not used to study the shapes of distributions? 8. Ahistogramthattailsouttowardsmallervaluesis.
9. Which of the following is not a graphical tool for descriptive analytics (dashboards)? 10. When grouping a large sample of measurements into classes,the is a better toolthanthe. 11. A very simple graph that can be used to summarize a quantitative data set iscalleda(n). ..................................................................................................................... .........................................
QNT 275T Apply Week 3 Connect Exercise (AllPossible QuestionAnswers) For more course tutorialsvisit www.tutorialrank.com Week3 Quiz Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace,N = nine, D = diamond, and C =club. Are D and C mutuallyexclusive? Yes, mutuallyexclusive.
If the mileage per gallon for a car is normally distributed, 32 mpg has a z score of 1.2, and 24 mpg has a z score of −.4, what is the mean mpg of thedistribution? The life of a light bulb is exponentially distributed with a mean of 1,000 hours. What is the probability that the bulb will last less than 800hours? A letter is drawn from the alphabet of 26 letters. What is the probability that the letter drawn is avowel? A survey is made in a neighborhood of 80 voters. 65 are Democrats and 15 are Republicans. Of the Democrats, 35 are women, while 5 ofthe
Republicans are women. If one subject from the group is randomly selected, find the probability the individual is a maleRepublican. Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found to be normally distributed with a mean of 30 minutes and a standard deviation of 8 minutes. Suppose that in an effort to provide better service to the public, the director of the local office is permitted to provide discounts to those individuals whose waiting time exceeds a predetermined time. The director decides that 15 percent of the customers should receive this discount. What number of minutes do they need to wait to receive the discount? Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container, what is the probability that only one of the items isdefective?
If n = 15 and p = .4, then the standard deviation of the binomial distributionis Assume the number of trucks passing an intersection has a Poisson distribution with a mean of 5 trucks per minute. What is the probability of 0 or 1 trucks in oneminute? Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. If X = the number of arrivals per minute, find the probability of more than 7 customers arriving within a minute.
QNT 275 Week 3 ApplyAssignment 1. Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. If X = the number of arrivals per minute, find the probability of more than 7 customers arriving within a minute. .0216 .0081 .0108 .0118
Explanation: (P (X ≥ 8) = .0081 + .0027 + .0008 + .0002 =.0118? 2. Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C =club. Are D and C mutuallyexclusive? Yes, mutuallyexclusive. No, not mutuallyexclusive.
3. The probability that an appliance is currently being repaired is .5. If an apartment complex has 100 such appliances, what is the probability that at least 60 are currently being repaired? Use the normal approximation to thebinomial. .5000 .0287 .6000 .9713 Explanation: z = (59.5 − (.5) (100)/√[(.5)(.5)(100)] =1.9 P (z ≥ 1.9) = 1 − 0.9713 =0.0287
4. Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. If X = the number of arrivals per minute, find the expected value ofX. 3 9 1.5 1.7 5. While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m. What is the probability that a randomly selected depth is between 2.25 m and 5.00m?
.79 .45 .55 .50 Explanation: P (2.25 ≤ x ≤ 5) = (5 − 2.25)/(7.0 − 2.0) = 2.75/5 =.55
6.Iftherandomvariablexisnormallydistributed,percent of all possible observed values of x will be within three standard deviations of themean. 68.26 95.44 99.73 100 None of the other choices iscorrect. 7. For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find thevariance.
5.0 1.2 2.0 1.1 Explanation: σ2x = (5) (.4) (.6) =1.2 8. Employees of a local university have been classified according to gender and jobtype.
If an employee is selected at random, what is the probability that the employee is a member of the hourly staff, given that the employee is female? 0.400 0.133 0.160
0.053 0.533 Explanation: 9. For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find P (X ≤1). rev:01_31_2019_QC_CS-156253 .0870
.2592 .0778 .3370 Explanation: P(X ≤ 1) = P(X = 0) + P(X =1) = (.0778) + (.2592) =.337 10. Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container, what is the probability that only one of the items isdefective?
0.2250 0.3000 0.0250 0.4000 0.1500 Explanation: ..................................................................................................................... ......................................... QNT 275T Apply Week 4 Connect Exercise (AllPossible QuestionAnswers)
For more course tutorials visit www.tutorialrank.com QNT 275T Apply Week 4 Connect Exercise (All Possible Question Answers) 1) A sample of 100 items has a population standard deviation of 5.1 and a mean of 21.6. Construct a 95 percent confidence interval forμ. 2) Recently, a case of food poisoning was traced to a particular restaurant chain. The source was identified and corrective actions were taken to make sure that the food poisoning would not reoccur. Despite the response from the restaurant chain, many consumers refused to visit the restaurant for some time after the event. A survey was conducted three months after the food poisoning occurred, with a sample of319
former customers contacted. Of the 319 contacted, 29 indicated that they would not go back to the restaurant because of the potential for food poisoning. Construct a 95 percent confidence interval for the true proportion of the market who still refuse to visit any of the restaurants in the chain three months after theevent. 3) A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.5. Suppose a random sample of 100 male students is selected and the GPA for each student is calculated. Find the interval that contains 95.44 percent of the sample means for malestudents.
4) f the sampled population is finite andatleasttimes larger than the sample size, we treat the population asinfinite. 20 5) For the following hypothesis test, where H0: μ ≤ 10; vs. HA: μ > 10, we reject H0 at level of significance α and conclude that the true mean is greater than 10, when the true mean is really 8. Based on this information, we can state that wehave
6) Theof a sample statistic is the probability distribution of the population of all possible values of the sample statistic. 7)Thetdistributionapproachesthedistribution as thesamplesize. 8) If the sampled population has a mean of 48 and standard deviation of 16, then the mean and the standard deviation for the sampling distribution of x¯x¯ for n = 16are
9) The value of χ2α in a particular situation dependson 10) Assuming that the null hypothesis istrue,the is the probability of observing a value of the test statistic that is at least as extreme as the value actually computed from the sampledata. 11) The width of a confidence interval willbe
12) A sample of 100 items has a population standard deviation of 51 and a mean of 216 construct a 95 percent confidence interval forM. 13) Recently a case of food poisoning was traced to a particular restaurant chain. The source was identified and corrective actions were taken to make sure that the food poisoning would not reoccur. Despite the response from the restaurant chain, many consumers refused to visit the restaurant for some time after the event. A survey was conducted three months after the food poisioning occurred, with a sample of 319 former customers contacted. Of the 319 contacted, 29 indicated that they would not go back to the restaurant because of the potential for food poisioning. Construct a 95 percent confidence interval for the true propotion of the market who still refuse to visit any of the restaurants in the chain three months after theevent.
14) A manufacturing company measures the weight of boxes before shopping them to the customers. If the box weights have a population mean and standard deviation of 90 Ib and 24 Ib, respectively, then based on a sample size of 36 boxes. What is the probability that the average weight of the boxes will exceed 94 Ib? 15) The number of defectives in 10 different samples of 100 observations each is the following: 1,2,1,0,2,3,1,4,2,1. What is the estimate of the population proportion ofdefectives?
15) A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ=3.5 and σ=0.05, Suppose a random sample of 100 male students is selected and the GPA for each student is calculated. What is the probability that the random sample of 100 male students has means GPA greater than3.42? 16) A researcher for a paint company is measuring the level of a certain chemical contained in a particular type of paint. If the paint contains too much of this chemical, the quality of the paint will be compromised. On average, each can of paint contains 10 percent of the chemical. How many cans of paint should the sample contain if the researcher wants to be 98 percent certain of being within 1 percent of the true proportion of thischemical?
17) A random sample of size 36 is taken from a population with mean 50 and standard deviation 5. Findp(x<5t.5) 18) Using the critical value rule, if a two-sided null hypothesis is rejected for a single mean at a given significance level, the corresponding one-sided null hypothesis (i.e.,the same sample size, the same standard deviation, and thesamemeans)willberejected at the same significancelevel.
19) If the sampled population has a mean of 48 and standard deviation of 16, then the mean and the standard deviation for the sampling distribution of x for n=16are ..................................................................................................................... ......................................... QNT 275T Apply Week 5 Connect Exercise (AllPossible QuestionAnswers) For more course tutorialsvisit www.tutorialrank.com QNT 275T Apply Week 5 Connect Exercise (All Possible Question Answers)