A statistics instructor who teaches a lecture section of 160 students wants to determine whether students have more difficulty with one-tailed hypothesis tests or with two-tailed hypothesis tests. On the exam, 80 of the students, chosen at random, get a version of the exam with a 10-point quest that requires a one-tailed test. The other 80 students get a question except that it requires a two-tailed test. The one- tailed students average 7.88 points and their standard deviation is 1.06 points. The two tailed students average 7.42 points and their standard deviation is 1.28 points. State the appropriate null and alternative hypothesis and then compute the p-value with the significance level of 0.10. Can you conclude that the mean score (population mean)1 on one tailed hypothesis test questions differs from the mean score (population mean)2 on two-tailed hypothesis test questions?

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A statistics instructor who teaches a lecture section of 160 students wants to
determine whether students have more difficulty with one-tailed hypothesis tests or
with two-tailed hypothesis tests. On the exam, 80 of the students, chosen at random,
get a version of the exam with a 10-point quest that requires a one-tailed test. The
other 80 students get a question except that it requires a two-tailed test. The one-
tailed students average 7.88 points and their standard deviation is 1.06 points. The
two tailed students average 7.42 points and their standard deviation is 1.28 points.
State the appropriate null and alternative hypothesis and then compute the p-value
with the significance level of 0.10.
Can you conclude that the mean score (population mean)1 on one tailed hypothesis
test questions differs from the mean score (population mean)2 on two-tailed
hypothesis test questions?
Transcribed Image Text:A statistics instructor who teaches a lecture section of 160 students wants to determine whether students have more difficulty with one-tailed hypothesis tests or with two-tailed hypothesis tests. On the exam, 80 of the students, chosen at random, get a version of the exam with a 10-point quest that requires a one-tailed test. The other 80 students get a question except that it requires a two-tailed test. The one- tailed students average 7.88 points and their standard deviation is 1.06 points. The two tailed students average 7.42 points and their standard deviation is 1.28 points. State the appropriate null and alternative hypothesis and then compute the p-value with the significance level of 0.10. Can you conclude that the mean score (population mean)1 on one tailed hypothesis test questions differs from the mean score (population mean)2 on two-tailed hypothesis test questions?
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