Two-Sample Inference Procedures with Means

Jun 06, 2013

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Suppose we have a population of adult men with a mean height of 71 inches and standard deviation of 2.6 inches. We also have a population of adult women with a mean height of 65 inches and standard deviation of 2.3 inches. Assume heights are normally distributed.Describe the distribution of the difference in heights between males and females (male-female)..

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Two-Sample Inference Procedures with Means

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Two Sample Inference for Means

Summary Slide. ReviewF testTest of two meansSmall sample, equal varianceSmall sample, unequal varianceSmall dependent sample. Review. Frequency distributions and descriptive statistics.Comparing an observation to a distribution.Comparing two distributions.. Objectives. To learn how to compare

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Two-Sample Inference for Proportions

Statistics 111 - Lecture 15. Two-Sample Inference for Proportions. Administrative Notes. HW 5 due on July 1 (next Wednesday) Exam is from 10:40-12:10 on July 2 (next Thursday) Will focus on material covered after midterm

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Two-Sample Proportions Inference

Sampling Distributions for the difference in proportions . When tossing pennies, the probability of the coin landing on heads is 0.5. However, when spinning the coin, the probability of the coin landing on heads is 0.4. Let's investigate.Pairs of students will be given pennies and assigned to ei

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Comparing two sample means

Comparing two sample means. Dr David Field. Comparing two samples. Researchers often begin with a hypothesis that two sample means will be different from each other In practice, two sample means will almost always be slightly different from each other

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Two-Sample Inference Procedures with Means

Two-Sample Inference Procedures with Means. Remember:. We will be interested in the difference of means, so we will use this to find standard error.

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Inference for One-Sample Means

Inference for One-Sample Means . Steps for doing a confidence interval:. State the parameter Conditions 1) The sample should be chosen randomly 2) The sample distribution should be approximately normal - the population is known to be normal, or

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Two-Sample Problems – Means

Two-Sample Problems – Means. Comparing two (unpaired) populations Assume: 2 SRSs, independent samples, Normal populations. Make an inference for their difference:. Sample from population 1:. Sample from population 2:. S.E. – standard error in the two-sample process. Confidence Interval:.

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Two Sample Inference for Means

Two Sample Inference for Means. Farrokh Alemi Ph.D Kashif Haqqi M.D. Summary Slide. Review F test Test of two means Small sample, equal variance Small sample, unequal variance Small dependent sample. Review. Frequency distributions and descriptive statistics.

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6.3 One and Two-Sample Inference for Means

6.3 One and Two-Sample Inference for Means. Example. JL Kim did some crude tensile strength testing on pieces of some nominally .012 in diameter wire of various lengths. The lengths are given in the data file WIRE in the class directory.

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6.3 Two-Sample Inference for Means

6.3 Two-Sample Inference for Means. November 17, 2003. Paired Differences. Matched Pairs Design experimental plan where the experimental units are divided into halves and two treatments are randomly assigned to the halves

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Two-Sample Inference Procedures with Means

Two-Sample Inference Procedures with Means. Two-Sample Procedures with means. When we compare, what are we interested in?. The goal of these inference procedures is to compare the responses to two treatments or to compare the characteristics of two populations .

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Two-Sample Proportions Inference

Two-Sample Proportions Inference. Two-Sample Proportions Inference. Sampling Distributions for the difference in proportions.

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Inference for Two Population Means

Inference for Two Population Means. Goal: Hypothesis Test or Confidence interval for the “average difference” between two populations There are two designs possible:

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Inference for One-Sample Means

Inference for One-Sample Means. Steps for doing a confidence interval:. State the parameter Conditions 1) The sample should be chosen randomly 2) The sample distribution should be approximately normal - the population is known to be normal, or

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Two-Sample Means

Two-Sample Means. Do male and female college students differ with respect to their fastest reported driving speed ?. Population of all male college students. Population of all female college students. Sample of n 1 = 17 males report average of 102.1 mph.

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Two-Sample Inference Procedures with Means

Two-Sample Inference Procedures with Means. Of the following situations, decide which should be analyzed using one-sample matched pair procedure and which should be analyzed using two-sample procedures?.

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Two-Sample Proportions Inference

Two-Sample Proportions Inference. Two , independent SRS’s from populations Population s at least 10n Normal approximation for both. Assumptions:. Formula for confidence interval:. Margin of error!. Standard error!. Note: use p-hat when p is not known.

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Two-Sample Proportions Inference

Two-Sample Proportions Inference. Sampling Distributions for the difference in proportions. When tossing pennies, the probability of the coin landing on heads is 0.5. However, when spinning the coin, the probability of the coin landing on heads is 0.4. Let’s investigate.

225 views • 14 slides

Hypothesis Testing: Two -Sample Inference

Hypothesis Testing: Two -Sample Inference. power of the test = 1 − Pr (type II error). power >= 80% is required. Home Work/Due Mon. 11.6, paper.

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Two-Sample Inference Procedures with Means

Two-Sample Inference Procedures with Means. Two-Sample Procedures with means. The goal of these inference procedures is to compare the responses to two treatments or to compare the characteristics of two populations . We have INDEPENDENT samples from each treatment or population.

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Two Sample Inference for Means

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