# Hypothesis Testing & Confidence Interval

Not what you're looking for?

See attached file.

I do not have the capabilty to use Microsoft Word's Equation Editor and on some of these questions the "x" should have a line over it.

1. Write a hypothesis to test the differences between two populations.

2. (STATISTICAL INFERENCES ABOUT TWO POPULATIONS) Use the following sample information to construct a 90% confidence interval for the difference in the two population means.

Sample 1 Sample 2

nı = 32 n2 = 31

xı = 70.4 x2 = 68.7

σ1 = 5.76 σ2 = 6.1

3. (STATISTICAL INFERENCES ABOUT TWO POPULATIONS) A. Use the following data and a = .10 to test the stated hypotheses. Assume x is normally distributed in the populations and the variances of the populations are approximately equal. H0: µ1 - µ2 = 0 Ha: µ1 - µ2 = 0

Sample 1 Sample

2 n1 = 20 n2 = 20

x1 = 118 x2 = 113

s 1 = 23.9 s 2 = 21.6

B. Use these data to construct a 90% confidence interval to estimate µ1 - µ2.

4. What is a matched-pairs test

5. When does one use an F test?

6. (TESTING HYPOTHESES ABOUT TWO POPULATION VARIANCES) Test the following hypotheses by using the given sample information and a = .05. Assume the populations are normally distributed. H0: s 2 1 = s 2 2 Ha: s 2 1 = s 2 2 n1 = 5, n2 = 19, s1 = 4.68, s2 = 2.78

7. (ANALYSIS OF VARIANCE AND DESIGN OF EXPERIMENTS) Compute a one- way ANOVA on the following data. (use Excel)

1 2 3 4 5

14 10 11 16 14

13 9 12 17 12

10 12 13 14 13

9 12 16 13

10 17 12

14

Determine the observed F value. Compare the observed F value with the critical table F value and decide whether to reject the null hypothesis. Use a = .01.

##### Purchase this Solution

##### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis, ANOVA and confidence interval for difference in two population means. The solution also provides a brief explanation on he use of paired t test and F test. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.