Assignment:
Q1. Write a hypothesis to test the differences between two populations.
Q2. (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
ni = 32 n2 = 31
xi = 70.4 x2 = 68.7
σ1 = 5.76 σ2 = 6.1
Q3. (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.
Q4. What is a matched-pairs test
Q5. When does one use an F test?
Q6. (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
Q7. (ANALYSIS OF VARIANCE AND DESIGN OF EXPERIMENTS) Compute a one- way ANOVA on the following data.
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.