37. A study was instituted to learn how the diets of women changed during the winter and...

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37. A study was instituted to learn how the diets of women changed during the winter and the summer. A random group of 12 women were observed during the month of July and the percentage of each woman’s calories that came from fat was determined.

Similar observations were made on a different randomly selected group of size 12 during the month of January. The results were as follows

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Test the hypothesis that the mean fat percentage intake is the same for both months.
Use the

(a) 5 percent level of significance and

(b) 1 percent level of significance.

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