When conducting this hypothesis test, should we used pooled variances? A. Yes. Since variances are assumed to be equal. B. No. Since variances are assumed to be equal. C. Yes. Since variances are assumed to be unequal. D. No. Since variances are assumed to be unequal. Answer:
Scenario: Many people who are involved with Major League Baseball believe that Yankee's baseball games tend to have a different duration than games played by other MLB teams. In order to test this theory, on other MLB team, the St. Louis Cardinals, was picked at random. The time of the game (in minutes) for 12 randomly selected Cardinals' games and 14 randomly selected Yankees' games was obtained and the summary statistics are recorded in the table below. At the 0.10 significance level, is there enough evidence to conclude that the mean time of Yankees' games is different than the mean time of Cardinals' games? Assume that the time of games for both teams are
| Yankees | Cardinals |
| n=14 | n=12 |
| x¯=197.6 | x¯=174.7 |
| s=24.7 | s=29.3 |
Work through the hypothesis test used to test this claim. Answer the following questions in the space provided. Note that if a number is required, a rounding rule will be provided for you to adhere to when entering your response AND if a multiple choice response is required, ONLY the capital letter of your answer selection should be typed as your response.
Part 1:
What type of test would this best be described as?
A. A one-tailed test concerning two independent population means.
B. A two-tailed test concerning two independent population means.
C. A one-tailed test concerning two dependent population means.
D. A two-tailed test concerning two dependent population means.
Answer:
Part 2:
When conducting this hypothesis test, should we used pooled variances?
A. Yes. Since variances are assumed to be equal.
B. No. Since variances are assumed to be equal.
C. Yes. Since variances are assumed to be unequal.
D. No. Since variances are assumed to be unequal.
Answer:
Part 3:
Compute the test statistic.
Round your answer correct to three decimal places.
Answer:
Part 4:
What is your decision? Explain your reasoning.
A. Reject H0, because the p-value is greater than the significance level.
B. Reject H0, because the p-value is less than the significance level.
C. Fail to reject H0, because the p-value is greater than the significance level.
D. Fail to reject H0, because the p-value is less than the significance level.
Answer:
Part 5:
If the confidence interval were to be determined, does the confidence interval include 0?
A. Yes.
B. No.
Answer:
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