Hypothesis Testing: Z-Distribution According to an NDP Group report, the mean number of meals prepared and eaten at home is 700 per year. Suppose that a random sample of 36 households showed a sample mean number of meals prepared and eaten at home was 690. Assume σ = 40. Test whether the population mean number of such meals is less than 700 using a significance level of 0.01. a. State the null and alternate hypotheses. b. Explain whether your test will be left, right, or two-tailed. c. State the test statistic and p-value. Round your answers to four decimal places. d. Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α. e. Interpret your conclusion in the context of this problem.
Hypothesis Testing:
Z-Distribution
According to an NDP Group report, the mean number of meals prepared and eaten at home is 700 per year. Suppose that a random sample of 36 households showed a sample mean number of meals prepared and eaten at home was 690. Assume σ = 40. Test whether the population mean number of such meals is less than 700 using a significance level of 0.01.
a. State the null and alternate hypotheses.
b. Explain whether your test will be left, right, or two-tailed.
c. State the test statistic and p-value. Round your answers to four decimal places.
d. Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α.
e. Interpret your conclusion in the context of this problem.
Step by step
Solved in 5 steps with 1 images
