Mathematics, 03.08.2021 15:30 christpress0
Consider the following hypothesis statement using alpha=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≤8
x1=72.2
x2=56.4
H1: μ1−μ2>8
s1=17.5
s2=15.9
n1=20
n2=22
a. Calculate the appropriate test statistic and interpret the result. (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 ▼ is less than the critical value, is greater than the critical value, falls within the critical values, does not fall within the critical values, ▼ reject do not 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 not less than the significance level, do not reject the null hypothesis.
B. Since the p-value is less than the significance level, do not reject the null hypothesis.
C. Since the p-value is not less than the significance level, reject the null hypothesis.
D. Since the p-value is less than the significance level, reject the null hypothesis.
Answers: 1
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