10 of 10 (5 complete) HW Score: 34.25%, 3.43 of 10 pts Score: 0 of 1 pt 10.2.12-

Question

10 of 10 (5 complete) HW Score: 34.25%, 3.43 of 10 pts Score: 0 of 1 pt 10.2.12-T Consider the following hypothesis statement using = 0.10 and data from two independent samples. Assume the population variances are equal and the populations are Question Help * normally distributed. Complete parts a and b H0 : 1-2 s 9 1:1-2 >9 x1-70.3-2-59.7 s1 = 17.4 s2-15.1 n4 16 n2-20 please answer the following please answer the following: A. Calculate the appropriate test statistic and interpret the result. The test statistic is The critical value(s) is(are) Because the test statistic is less than the critical value falls within the critical values, is greater than the critical value does not fall within the critical values, do not reject reject the null hypothesis. b. Identify the p-value from part a and interpret the result. The p-value is C. choose from the following A. Since the p-value is not lessnot less than the significance level reiectreject the null hypothesis. B. Since the p-value is lessless than the significance level reiectreject the null hypothesis. C. Since the p-value is not lessnot less than the significance level do not rejectdo not reject the null hypothesis. D. Since the p-value is lessless than the significance level do not rejectdo not reject the null hypothesis. Click to select your answer(s)

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 9
HA : 1 - 2 > 9
(with pooled variances)

Hypothesis test results:

Hence,

A) Test statistic = 0.295

Critical value = 1.307

Less than the critical value; do not reject Ho

p - Value = 0.385

Option C is correct.

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 10.6 5.4185924 34 0.29527964 0.3848

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