The accompanying table shows two samples that were collected as matched pairs. C

Question

The accompanying table shows two samples that were collected as matched pairs. Complete parts (a) through (d) below Click the icon to view the data table a State the null and alternative hypotheses to test if the population represented by Sample 1 has a mean that is 2.0 units higher than the population represented by Sample 2 Let Sample 2. State the null and alternative hypotheses. Choose the correct answer below. be the population mean of matched-pair differences for Sample 1 minus HoHa s 2.0 H1 : -2.0 Ho: -2.0 B. C. D. Ho:Ha-2.0 H1 : -2.0 H4 Hig 22.0 b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using = 0.01 The test statistic is (Round to two decimal places as needed.) The critical valueis) is are) Use a comma to separate answers as needed. Round to two decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Sample 1 and Sample 2
H0 : D = 0
HA : D > 0
Hypothesis test results:

Hence,

Hypotheses: Option A is correct.

Test statistic = 1.21

Critical value = 3.00

is less than; do not reject; no

p - value = 0.132

is less than; do not reject; no

Assumptions: Option D is correct.

Difference Mean Std. Err. DF T-Stat P-value Sample 1 - Sample 2 1.375 1.1329087 7 1.21369 0.1321

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