Question

Consider the following hypothesis statement using α= 0.10 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b.

H0: μ1−μ2≤11    x1=66.8 x2=54.3

H1: μ1−μ2>11 s1=19.1    s2=17.7 \

n1=19    n2=21

a. Calculate the appropriate test statistic and interpret the result.

The test statistic is . ​(Round to two decimal places as​ needed.)

The critical​ value(s) is(are) . ​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

Because the test statistic (does not fall within the critical values/falls within the critical values/is less than the critical value/is greater than the critical value), (do not reject/reject) the null hypothesis.

b. Identify the​ p-value from part a and interpret the result.

The​ p-value is . ​(Round to three decimal places as​ needed.)

Interpret the result. Choose the correct answer below.

A. Since the​ p-value is less than the significance​ level, do not reject do not reject the null hypothesis.

B. Since the​ p-value is not less not less than the significance​ level, do not reject do not reject the null hypothesis.

C. Since the​ p-value is less than the significance​ level, reject the null hypothesis.

D. Since the​ p-value is not less not less than the significance​ level, reject the null hypothesis. Click to select your answer(s).

Answer 1