Question

Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight, x, or a 1-year-old baby and the weight, y, of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females. Please use this data to answer all parts of the question.

x (lbs) 21 25 23 24 20 15 25 21 17 24 26 22 18 19

y (lbs) 125 125 120 125 130 120 145 130 130 130 130 140 110 115

note: For these data, ?̅≈ 21.42, ?? ≈ 3.32, ?̅ ≈ 126.79, ?? ≈ 9.12 1.

Use a 5% level of significance to test the claim that ? > 0.

a. State the null and alternative hypotheses.

?0:

?1:

b. What calculator test will you use? List the requirements that must be met for you to use this test, and indicate whether the conditions are met in this problem.

c. Run the calculator test and obtain the P-value.

d. Based on your P-value, will you reject or fail to reject the null hypothesis?

e. Interpret your conclusion from part d in the context of this problem. In other words, what does this result tell you about the population correlation between the weight of a child at 1 year, and their corresponding weight as an adult?

Answer 1