In: Statistics and Probability
The owner of a local restaurant has recently surveyed a random sample of n=250 customers of the restaurant. she would like to determine whether or not the mean age of her customers is greater than 30. if so she plans to alter the menu to appeal to this age. if not no menu changes will be made. suppose she found that the sample mean was 30.45 years in the sample standard deviation was 5 years, if she wants to have a level of significance at 0.01 what conclusion can she make.
a) there is sufficient evidence that the mean age of her customers is not greater than 30
b) there is not sufficient evidence that the mean age of her customers is not greater than 30
c) there is not sufficient evidence that the mean age of her customers is greater than 30
d) there is sufficient evidence that the mean age of her customers is greater than 30