The following data, based on the results of the study, provide the before and af

Question

The following data, based on the results of the study, provide the before and after serum 25(OHD concentrations in the blood, in nanomoles per liter (nmo/L), for the group that drank the fortified juice. Before After Before After 8.6 33.8 3.9 75.0 2.3 137.0 15 83.3 60.7 110.618. 71.5 20.4 52.7 100.9 142.0 39.4 10.5 84.3 171.4 15.7 39.1 32352.1 58.3 124.1 41.7 1129 A) The mean difference (d-bar-After-Before) is 56.9929 nmol/L and s = 26.1995 nmol/L for these data. Manually test whether the concentration levels differed between the two experimental conditions. State H(O) and H(a), calculate the test statistic and find a range of p-values for the test statistic under the null, then state your conclusion. Use a two-tailed test at the 5% level of significance. B) Also bootstrap the sample (5000 resamples of n-14, with replacement), and obtain the bias corrected and accelerated 95% CI.

Explanation / Answer

Null hypothesis : H0 : u=u0  There is no difference in the concentraion level in the two experiments.

Alternative hypothesis: H1 :u=u1 There is a significant difference between the concentration levels .

Z test for single mean =( xbar - u0 )/sigma /n

= 56.99 - 0/26.19/14

= 8.14

At 5% level of significance z tabulated is 1.96

And the p value is smaller than 0.05 so we reject the null hypothesis.

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