For Exercises 51–58, do the following:

  1. State the hypotheses and the rejection rule.
  2. Calculate .
  3. Find the -value.
  4. State the conclusion and the interpretation.

Question 9.159

53. Eating Trends. According to an NPD Group report, the mean number of meals prepared and eaten at home is less than 700 per year. Suppose that a random sample of 100 households showed a sample mean number of meals prepared and eaten at home of 650. Assume . Test whether the population mean number of such meals is less than 700, using level of significance .

9.3.53

(a) . Reject if the .

(b) −20 (c) (d) Since the , reject . There is evidence that the population mean number of meals prepared and eaten at home is less than 700.