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.

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

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.

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.

Assume that in a hypothesis test with null hypothesis H 0: mu = 14.0 at alpha = 0.05, that a value of 13.0 for the sample mean results in the null hypothesis being rejected. That corresponds to a confidenceinterval result of:
a) the 95% confidenceinterval for the mean contains the value 14.0
b) the 95% confidenceinterval

1. What are the null and alternate hypotheses for this test? Why?
2. What is the critical value for this hypothesis test using a 5% significance level?
3. Calculate the test statistic and the p-value using a 5% significance level.
4. State the decision for this test.
5. Determine the confidenceinterval level that would be a

Assume that in a hypothesis test with null hypothesis = 13.0 at 0.05, that a value of 11.0 for the sample mean results in the null hypothesis not being rejected. That corresponds to a confidenceinterval result of
A. The 95% confidenceinterval for the mean does not contain the value 13.0
B. The 95% confidenceinterval for

Consider the following HypothesisTesting:
H0: δ1² = δ2²
Ha: δ1² ≠ δ2²
The sample size for sample 1 is 25, and for sample 2 are 21. The variance for sample 1 is 4.0 and for sample 2 is 8.2
a) at the confidence level of 0.98, what is your conclusion of this test?
b) What is the confidence

Exercise 8.5
Find a confidenceinterval for u assuming that each sample is from a normal population.
a. x = 14, sigma = 4, n = 5, 90 percent confidence
b. x = 37, sigma = 15, 99 percent confidence
c. x = 121, sigma = 15, 95 percent confidence
Exercise 9.19
Calculate the test statistic and p-value for each sample.

Need help setting up, understanding and solving this problem:
At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether

We have created 95% confidenceinterval for mean; with the result (10, 15). What decision will we make if we test H0 : mean = 16 versus H1 : mean is not equal to16 at alpha = 0.025?
Reject H0 in favor of H1.
Accept H0 in favor of H1.
Fail to reject H0 in favor of H1.
We cannot tell what our decision will be from the inform

Kids Adults Totals
Green Bikes 900 600
Red Bikes 600 400
Totals
5 Steps of HypothesisTesting and interpret your decision.
Construct a 90% confidenceinterval for the proportion of adults that bought green bikes.
SHOW IN DETAIL HOW to calculate the test statistic, the p-value, an