Question

The owner of a local nightclub has recently surveyed a random sample of n = 49...

  1. The owner of a local nightclub has recently surveyed a random sample of n = 49 customers. She would now like to determine whether 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 32.5 years and the sample standard deviation was 5 years. Assuming a levelof significance of 0.01, what conclusion can she make?
a
  1. There is sufficient evidence that the mean age of her customers is greater than 30.
b
  1. There is sufficient evidence that the mean age of her customers is not greater than 30.
c
  1. There is not sufficient evidence that the mean age of her customers is not greater than 30.
d
  1. There is not sufficient evidence that the mean age of her customers is greater than 30.

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