In: Statistics and Probability
A social scientist suspects that the mean number of years of education μ for adults in a certain large city is greater than 12 years. She surveys a random sample of 100 adults and finds that the sample mean number of years is ?̅= 12.98. Assume that the standard deviation for the number of years of education is σ = 3 years. a. Write in words what ? represents. b. State the null and alternative hypotheses. c. What is the sample evidence collected? ? = ?̅= d. Calculate the Z Test Statistic and label it on the graph. e. Is the sample mean significant? Explain. f. State your decision about the null hypothesis. g. Write your final conclusion about the alternative.