A paired difference experiment yielded the following results: B. Conduct the tes

Question

A paired difference experiment yielded the following results: B. Conduct the test, part a, using alpha =. 10. c. Find a 90% confidence interval for mu_d. Interpret this result. d. What assumptions are necessary to ensure the validity of this analysis? A paired difference experiment yielded the following results: n_d = 40 Sigma d = 468 Sigmad^2 = 6, 880 a. Test H+_0:mu_d = 10 against H_a: mu_d notequalto 10, where mu_d = (mu_1 - mu_2). Use alpha =. 05. b. Report the p-value for the test you conducted in pan a. Interpret the p-value. c. Do you need to assume that the population of differences is normally distributed? Explain.

Explanation / Answer

here std deviation sd =((6880-4682/40)/(39))1/2 =6.009

std error of mean =std deviation/(40)1/2 =0.9488

sample mean X=468/40 =11.7

hence test stat t=(X-mean)/std error =(11.7-10)/0.9488 =1.7917

for above p value =0.0809

p value is the extreme value for which null hypothesis is true

b)No as sample size is larger we do not have to assume that population of differnece is normally distributed

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