Conduct a z-test for a dataset where = 4.1, = 0.8, X = 3.7, n

Conduct a z-test for a dataset where μ = 4.1, σ = 0.8, X̅ = 3.7, n = 20.

a. What are the groups for this z-test?

b. What is the null hypothesis for this z-test?

c. What is the value of α?

d. Should the researcher conduct a one- or two-tailed test?

e. What is the alternative hypothesis?

f. What is the z-observed value?

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

h. Based on the critical and observed values, should the researcher reject or retain the null hypothesis?

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?