Modern medical practice tells us not to encourage babies tobecome 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 (30years old)? A random sample of medical files produced the followinginformation for 14 females. Please use this data to answer allparts 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 110115
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 thatmust be met for you to use this test, and indicate whether theconditions 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 thenull hypothesis?
e. Interpret your conclusion from part d in the context of thisproblem. In other words, what does this result tell you about thepopulation correlation between the weight of a child at 1 year, andtheir corresponding weight as an adult?
