A teacher wishes to study the amount of time students in his statistics course spend each week in study for the course. He believes that the average should be the nominal 6 hours (two hours outside class for every hour in class). So he has the students keep track of and report the time spent in study during a typical week. A total of 7 students respond. The average time spent is 6.5 hours with a standard deviation of 2 hours. With this information he wishes to perform a hypothesis test. Identify the values for each of the following relevant variables. (If a value is not given, then state "not given".) a. ? = b. ?= c. n= d. X?= e. s=
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Teacher wishes to study the amount of time students in his statistics course spend each week studying for the course. He believes that the average is less than 6 hours, so he has the students keep track and report the time spent in study during a typical week. A total of 10 students respond. The average time spent is 5 hours with a standard deviation of 2 hours. He assumes that the study hours are normally distributed. With this sample information, he wishes to perform a hypothesis test using a 0.10 significance level. HO: H1: Test Statistic (2 decimals): Critical value (2 decimals): Critical Region: Decision: Reject HO Fail to reject HO Conclusion:
Qudsiya A.
2) Suppose that El Camino is studying the average number of hours students study for classes per week. According to research from 2010 El Camino students spent an average of 21 hours a week studying for classes. El Camino wants to study if this average has changed. To do this they take a random sample of 81 current students and find that the average student spent 19.3 hours studying with a standard deviation of 6.4 hours. (Note: You may assume there are approximately 20,000 El Camino students). a) Carry out a hypothesis test at α = .05 to test the claim that the average number of hours per week that El Camino students study has changed since 2010. (b) Describe what it would mean in this situation to make a Type I error (c) Describe what it would mean in this situation to make a Type II error (d) Construct a 95% confidence interval for the average number of hours studied by El Camino students per week. Make sure to interpret your interval.
Danielle F.
For Exercises 2 through $12,$ perform each of these steps. Assume that all variables are normally or approximately normally distributed. a. State the hypotheses and identify the claim. b. Find the critical value(s). c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Improving Study Habits As an aid for improving students' study habits, nine students were randomly selected to attend a seminar on the importance of education in life. The table shows the number of hours each student studied per week before and after the seminar. At $\alpha=0.10$, did attending the seminar increase the number of hours the students studied per week? $$ \begin{array}{l|ccccccccc}{\text { Before }} & {9} & {12} & {6} & {15} & {3} & {18} & {10} & {13} & {7} \\ \hline \text { After } & {9} & {17} & {9} & {20} & {2} & {21} & {15} & {22} & {6}\end{array} $$
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