Question

# 5.

DETAILS DEVORESTAT9 9.3.040.

Lactation promotes a temporary loss of bone mass to provide adequate amounts of calcium for milk production. A paper gave the following data on total body bone mineral content (TBBMC) (g) for a

sample both during lactation (L) and in the postweaning period (P).

Subject

2 3

5 6 7

L 1929 2546 2825 1923 1628 2175 2112 2621 1843 2542

1

4

8

9

10

P 2127 2885 2895 1943 1750 2183 2164 2626 2006 2626

(a) Does the data suggest that true average total body bone mineral content during postweaning exceeds that during lactation by more than 25 g? State and test the appropriate hypotheses

using a significance level of 0.05. [Note: The appropriate normal probability plot shows some curvature but not enough to cast substantial doubt on a normality assumption.] (Use

H₂Hp - H₂.)

ⒸH₂= 25

H₂H ≤ 25

Hoo-25

H₂H25

ⒸH₂=25

H₂H > 25

H₂H25

H₂H <25

Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)

t=

MY NOTES

P-value-

State the conclusion in the problem context.

Fall to reject Ho. The data suggests that the true average total body bone mineral content during postweaning exceeds that during lactation by more than 25 g.

Reject Ho. The data suggests that the true average total body bone mineral content during postweaning does not exceed that during lactation by more than 25 g.

Reject Ho. The data suggests that the true average total body bone mineral content during postweaning exceeds that during lactation by more than 25 g.

Fall to reject Ho. The data suggests that the true average total body bone mineral content during postweaning does not exceed that during lactation by more than 25 g./n6.

HoHo 25

H₂HD > 25

ⒸHo Ho - 25

H:H₂ < 25

Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)

to

P-value=

State the conclusion in the problem context.

ⒸFall to reject H₂. The data suggests that the true average total body bone mineral content during postweaning exceeds that during lactation by more than 25 g.

Reject Ho. The data suggests that the true average total body bone mineral content during postweaning does not exceed that during lactation by more than 25 g.

Reject Ho. The data suggests that the true average total body bone mineral content during postweaning exceeds that during lactation by more than 25 g.

Fall to reject Ho. The data suggests that the true average total body bone mineral content during postweaning does not exceed that during lactation by more than 25 g.

(b) Calculate an upper confidence bound using a 95% confidence level for the true average difference between TBBMC during postweaning and during lactation. (Round your answer to two

decimal places.)

9

(c) Does the (incorrect) use of the two-sample t test to test the hypotheses suggested in (a) lead to the same conclusion that you obtained there? Explain.

Yes, if the two samples were independent, the result would be the same.

No, if the two samples were independent, the result would not be the same.

You may need to use the appropriate table in the Appendix of Tables to answer this question.

DETAILS