Question

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years. Assume the p-value was.035. If she wants to have a level of significance at 0.01, what decision should she make? Reject Ho Reject H1. Do not reject Ho We cannot tell what her decision should be from the information given

Answer 1

1.

P-value = 0.035 which is > alpha 0.01 so we accept H0

Correct answer: Option (C) do not reject H0

2. From the given data

F16 =ROUND(T.DIST.RT(F14,F10).P1) 1 Givern 2 Population Mean mu t - test for single mean Step 1: Sample size n 250 H0: The mean age of her customers is not greater than 30 4 Sample Mean Xbar - 30.450 Ho: μ Sample SD = (S) LOS = α = 0.01 H1: The mean age of her customers is greater than 30 Step 2: Right tailed Test b) Decision: Reject HO if test statistic value >t critical value 10 df tcrit- 249 alpha- 0.01 2.3414 ROUND (TINV(2*J8,G8),4) 12 13 14 15 16 17 18 19 20 21 Step 3: Test statistic 1.423 (B4-B2)/(B5/SQRT(B3) Step 4: P-value - 0.078 T.DIST.RT(F14,F10) Step 5:Here 't value is less than 't' critical value so we accept HO (or) p-valueh 0.01so we accept HO Thus, we conclude that The mean age of her customers is not greater than 30

P-value = 0.078 which is > alpha 0.01 so we accept H0

Correct answer: Option (A)