Question

Show work please.

Compute z-scores or t-scores accordingly then find their one-tailed AND two-tailed p-value the following situations. Then, summarize the results of the analysis at α level 0.05.

The sample mean consumption of 16 Missouri men is 2610 kcal, with an estimated standard error of 175 kcal. Test the hypothesis that the mean is greater than the population mean consumption of US men of 2350.

Answer 1

This is the right tailed test .

The null and alternative hypothesis is

H₀ : = 2350

H_a : > 2350

Test statistic = t

= ( - ) / s / n

= (2610 - 2350) / 175

= 1.486

Test statistic = 1.486

df = 15

P-value = 0.0790

= 0.05

P-value >

Fail to reject the null hypothesis .

There is not sufficient evidence to conclude that the mean is greater than the

population mean consumption of US men of 2350 .