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Breast feeding sometimes results in a temporary loss of bone mass as calcium is

ID: 3263668 • Letter: B

Question

Breast feeding sometimes results in a temporary loss of bone mass as calcium is depleted in the mother's body to provide for milk production. An investigation gave the following data on total body bone mineral content (g) for a sample of mothers both during breast feeding (B) and in the postweaning period (P).

Do the data suggest that true average total body bone mineral content during postweaning exceeds that during breast feeding by more than 25 g? State and test the appropriate hypotheses using a significance level of 0.05. (Use a statistical computer package to calculate the P-value. Use P B. Round your test statistic to two decimal places and the P-value to three decimal places.)


Conclusion

reject H0fail to reject H0   

Subject 1 2 3 4 5 6 7 8 9 10 B 2164 2267 2666 2664 2600 2592 2268 2639 1955 2776 P 2358 2410 2695 2688 2673 2665 2298 2820 2019 2818

Explanation / Answer

from above:

from above t stat =2.97

df =n-1=10-1=9

p value =0.008

as p value is less then 0.05 level ; we reject Ho.

B P difference(d) 2164 2358 194 2267 2410 143 2666 2695 29 2664 2688 24 2600 2673 73 2592 2665 73 2268 2298 30 2639 2820 181 1955 2019 64 2776 2818 42 mean 85.300 std deviaition 64.0487 sample size 10.0000 std error= std dev/(n)^(1/2) 20.2540 t stat= (d-25)/std error 2.9772 p value = 0.0078