We know that the mean weight of men is greater than the mean weight of women, and the mean height of men is greater than the mean height of women. A person's body mass index (BMI) is computed by dividing weight (kg) by the square of height (m).

A random sample of 70 females has a mean BMI of 29.10 with standard deviation 7.39, while a random sample of 80 males has a mean BMI of 28.38 with standard deviation 5.37.

Use a significance level of 0.3 to test the claim that females appear to have a greater mean BMI than males.

Fill in the blanks:

The Test Statistic is a (z/t)
-score.

Test Statistic =
(round to 3 decimals)

Original Claim:




Type of Test: (Left/Right/Two)
-Tailed Test

P-Value =
(round to 4 decimal places)

P-Value

(provide the symbol).

Reject
? (yes/no)

Conclusion: There (is/is not)
sufficient evidence to (support/reject)
the claim that male and female professors are rated the same.