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.If she wants to have a level of significance at 0.01,what decision should she make? A)^Reject^H0^. B)^Reject^H1^. C)^{Do not reject}^H0^. D)We cannot tell what her decision should be from the information given.

Question

Quizplus · Accepted Answer

Without conducting the actual hypothesis test calculations (since the question does not provide all necessary values such as the critical value or p-value), we can't definitively say whether to reject or not reject the null hypothesis. However, the correct approach involves comparing the sample mean to the hypothesized population mean under the null hypothesis (mean = 30) using a significance level of 0.01. The decision to reject or not reject the null hypothesis depends on the outcome of this statistical test, which is not fully detailed here. Therefore, without specific test results, we cannot determine the correct action based on the provided information alone. However, the question seems to imply a decision needs to be made based on the given scenario, suggesting an expectation to proceed with analysis rather than stating it's impossible to decide. This might lead to confusion, but the most appropriate answer based on the usual approach to such questions would involve conducting a test and making a decision based on its outcome, which isn't fully outlined in the options.

The Owner of a Local Nightclub Has Recently Surveyed a Random