The samples in the accompanying table are observations taken from the same eleme

Question

The samples in the accompanying table are observations taken from the same elements at two different times Click the icon to view the data table Assume that the populations are normally distributed. Perform a test of hypothesis to determine if there is sufficient evidence that the difference in the means of the distribution at the first time period is more than 10 units larger than at the second time period. Use a level of significance equal to 0.01 Determine the null and alternative hypotheses. Choose the correct answer below OA. C.H Ho: 1-H22 10 O D. H Determine the p-value p-value = (Round to four decimal places as needed.) Reach a conclusion | Ho . There is evidence to conclude that the difference in the means of the distribution at the first time period is more than 10 units larger than at the second time period Data Table Sample 1 13.8 18.6 21.5 13.2 18.3 16.7 Sample 2 3.6 ni 10.3 4 9.2 5.8 3.5 Print Done

Explanation / Answer

you willl get p values when you perfor t test for diff in means in excel.

H0:mu1-mu2<=10

H1:mu1-mu2>10

option D

OUTPUT:

Carry t test fordiff in means assuming unequal variances

p=0.4562

p>alpha

Fail to reject H0.There is no suffcient evidence to conclude

t-Test: Two-Sample Assuming Unequal Variances sample1 sample2 Mean 16.25714 6.057143 Variance 12.24952 9.929524 Observations 7 7 Hypothesized Mean Difference 10 df 12 t Stat 0.112359 P(T<=t) one-tail 0.456198 t Critical one-tail 1.782288 P(T<=t) two-tail 0.912396 t Critical two-tail 2.178813

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