Question

Data we

Consider the following hypothesis test. (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 Population 2.) Population Element 1 2 Difference 21 20 1 2 28 26 2 15 3 19 1 3 18 4 20 5 26 23 (b) Compute d 2 (c) Compute the standard deviation sd. 7 (d) Conduct a hypothesis test using α Calculate the test statistic. (Round your answer to three decimal places.) 0.755 0.05 Calculate the p-value. (Round your answer to four decimal places.) p-value 0.475

Answer 1

Following table shows the calculations:

(b)

(d)

So test statistics will be

$t=rac{ar{d}-mu_{d}}{s_{d}/sqrt{n}}=rac{2-0}{1/sqrt{5}}=4.472$

P-value of the test using excel function "=TDIST(4.472,4,1)" is 0.0055.