A small dataset consists of the following values, which come from a population with = 7

A small dataset consists of the following values, which come from a population with μ = 7 and σ = 3.5. Conduct a z-test on these data to answer the questions below.

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

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 raised to .08, would the researcher reject or retain the null hypothesis?

l. If the α value were raised to .10, would the researcher reject or retain the null hypothesis?

m. If α were .05 and the sample size were increased to 125, would the researcher reject or retain the null hypothesis?

n. If α were .05 and the sample size were increased to 11,000, would the researcher reject or retain the null hypothesis?

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