Question

In 1960, census results indicated that the age at which men in a certain region first married had a mean of 23.9 years. It is widely suspected that young people today are waiting longer to get married. We want to find out if the mean age of first marriage has increased since then. Complete parts a through f below. a) Write appropriate hypotheses. Ho: u = 23.9 Ha: u > 23.9 b) We plan to test our hypothesis by selecting a random sample of 40 men who married for the first time last year. Do you think the necessary assumptions for inference are satisfied? Explain. Therefore, The independence condition should be satisfied and the Nearly Normal Condition should be satisfied because the sample size is large. using the Student-t model for inference should be reliable. c) Describe the approximate sampling distribution model for the mean age in such samples. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers, using radicals as needed.) O A. t distribution with degrees of freedom with Mean = and SE (Y) = 1 OB. Normal distribution with Mean = and SE (Ý) = OC. t distribution with degrees of freedom with Mean and SE (Ý) =s

Pick the correct option and fill in the values.

Answer 1

M=23.9 claim -) Walled S longer 423.9 Null Alternate Ho: M = 23.9 Ha : M >23.9 - - n=ho sample so sine normal n = 40 2,30 condition satisfied The Independence Covodition should be satishred and the nearly Normal condition should be satisfied because the sample size) is large. Therefore usng the student t model for inference should be seliable I samping distribution model for the mean age in such samples. n=90 degrees of freedom of =n-1=40-1 - A standard error SE (G) = 1 / 2 ( 14 ) distributim with (39) degree of freedom with mean = (23.9 and [SE(Y) = mol