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Two statistics questions: National average for BMI

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The National average for BMI in US is 26.5 for females and 26.6 for males.
Answer the following (assume we DO NOT know the standard deviation for the U.S. population for BMI) ...
Is there a statistically significant difference in the BMI for females who are in "Excellent" or "very good" health from those who rate their health as ...
(See the attached file).

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The expert examines the national average for BMI in the United States for males and females. The solution provides a complete, neat and step-by-step solutions in the attached file.

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Question 1:

Answer the following (assume we DO NOT know the standard deviation for the U.S.
population for BMI):

Since the population standard deviation is not known, we use the t- test for a population mean
Ho: mu = 26.5 vs Ha: mu ≠ 26.5
t = (x-bar - μ)/(s/√n) = (26.06 - 26.5)/(5.37/√70) = -0.6855
Degrees of freedom = n - 1 = 70 - 1 = ...

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