Conduct a one-sample t-test for a dataset where = 74.2, X = 75.1, s x =

Conduct a one-sample t-test for a dataset where μ = 74.2, X = 75.1, s_x = 10.2, and n = 81.

a. What are the groups for this one-sample t-test?

b. What is the null hypothesis for this one-sample t-test?

c. What is the value of α?

d. Is a one-tailed or a two-tailed test appropriate for this situation?

e. What is the alternative hypothesis?

f. What is the t-observed value?

g. What is(are) the t-critical value(s)?

h. Based on the critical and observed values, should the null hypothesis be rejected or retained?

i. What is the p-value for this example?

j. What is the Cohen’s d value for this example?

k. If the α value were dropped to .01, would the researcher reject or retain the null hypothesis?

l. If α were .05 and the sample size were increased to 1,100, would the researcher reject or retain the null hypothesis?

m. If α were .05 and the sample size were decreased to 18, would the researcher reject or retain the null hypothesis?

n. If α were .05 and the sample size were decreased to 5, would the researcher reject or retain the null hypothesis?

o. Calculate a 50% CI around the sample mean.

p. Calculate a 69% CI around the sample mean.

q. Calculate a 99% CI around the sample mean.