a) The P-value for a two-sided test of the null hypothesis H0: mu = 30 is 0.08

i.) Does the 95% confidence interval include the value of 30? Explain.

ii.) Does the 90% confidence interval include the value of 30? Explain.

b) A 95% confidence for a population mean is (57, 65).

i.) Can you reject the null hypothesis that mu = 68 at the 5% significance level? Explain.

ii.) Can you reject the null hypothesis that mu = 62 at the 5% significance level? Explain.

c) The P-value for a significance test is 0.026

i) Do you reject the null hypothesis at level alpha = 0.05? Explain.

ii) Do you reject the null hypothesis at level alpha = 0.01? Explain.

d) What critical value t* should be used to calculate the margin of error for a confidence interval for the mean of the population in each of the following situations?

i) A 95% confidence interval based on n=15 observations.

ii) A 95% confidence interval based on n=25 observations.

iii) A 90% confidence interval based on n=25 observations.

iv) A 95% confidence interval based on n=101 observations.

e) The cases in question d) illustrate how the size of the margin of error depends upon the confidence level and sample size.

Answer rating: 100% (QA)

a i Here 1095 005 Since pvalue is greater than 005 so we fail to reject null hypothesis Thus there i... View the full answer