Question

Consider the following hypothesis test. Ho: Moso H:Hd > 0 (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 1 21 3 (b) Compute. (c) Compute the standard deviation Sd. (d) Conduct a hypothesis test using a = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Do not Reject Ho. There is sufficient evidence to conclude that Hd > 0. O Reject Ho. There is sufficient evidence to conclude that us > 0. Reject Ho. There is insufficient evidence to conclude that Md > 0. O Do not reject Ho. There is insufficient evidence to conclude that ug > 0.

Answer 1

The statistical software output for this problem is :

Paired T hypothesis test: Hp H1 - H2 : Mean of the difference between 1 and 2 Houp = 0 HAUD > 0 Hypothesis test results: Difference Mean Std. Err. DF T-Stat P-value 1-2 10.4472136 4 2.236068 0.0445

(a)

2 Differences

(b)

$\bar d$ = 1

(c)

Sd = 1

(d)

Test statistics = 2.236

P-value = 0.0445

Option B is correct .