Hypothesis questions:
A medical board claim that the mean number of hours worked per week by surgical faculty who teach at an academic institution is more than 60 hours. The hours worked include teaching hours as well as regular working hours. A random sample of 7 surgical faculty has a mean hours worked per week of 70 hours and 'a standard deviation of 12.5 hours. At a = 0.05, do you have enough evidence to support the board's claim? Step 1 State the null, alternative hypothesis, and identify the claim Step 2 Find the critical values(s) and critical region(s)
• Show how you arrived at your solution on the answer sheet for full credit. Write neatly, clearly and be organized. . 8 t /. l 7. The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed. At a = 0.01, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 15 years? 15.7 13.2 22.6 13.0 10.7 18.1 12.3 19.8 13.8 16.0 15.5 13.1 7.0 19.3 13.2 14.6 20.9 '15.4 14.7 7.0 20.7· 15.5 13.3 11.6 17.3 9.8 10.9 7.5 21.8 11.9 16.9 21.6 Step 1 State the null, alternative hypothesis, and identify the claim Step 2. Find the critical values(s) and critical region(s) Step 3 Compute the test value: by formula or TI CALCULATOR Step 4 Make the decision to reject or do not reject Ho and summarize the results. • • Show bow you arrived at your solution on the answer sheet for full credit. Write neatly, clearly 6 and be organized. 5. An employment information service claims the mean annual salary for full-time male workers over age 25 and without a high school diploma is $26,000. The annual salaries for a random sample of 10 full-time male workers without a high school diploma are listed. At a = 0.05, test the claim that the mean salary is $26,000. 26,185 . 20,767 23,814 22,374 25,189 30,782 29,541 24,597 26,318 28,955 Step 1 State the null, alternative hypothesis, and identify the claim Step 2 Find the critical values(s) and critical region(s) Step 3 Compute the test value: by formula or TI CALCULATOR . Step 4 Make the decision to reject or do not reject Ho and summarize the results. 1 Show bow you arrived at your solution on the.answer sheet for full credit. Write neatly, clearly 4 and be organized. 3. A snack food manufacturer believes that the, variance of the numbers of grams of carbohydrates in servings of its tortilla chips is 1.25. A dietician is asked to test this claim and. finds that a random sample of 22 servings has a variance of 1.35. At a = 0.05, is there enough evidence to reject the manufacturer's claim? Step 1 State the null, alternative hypothesis, and identify the claim Step 2 Find the critical values(s) and critical region(s) Step 3 Compute the test value: by formula or TI CALCULATOR Step 4 Make the decision to reject or do not reject Hsand summarize the results. • .' Show how you arrived at your solution on the answer sheet for fuU credit. Write neatly, clearly 5 . and' be organized. 4. A medical board claim that the mean number of hours worked per week by surgical faculty who teach at an academic institution is more than 60 hours. The hours worked include teaching hours as well as regular working hours. A random sample of 7 surgical faculty has a mean hours worked per week of 70 hours and 'a standard deviation of 12.5 hours. At a = 0.05, do you have enough evidence to support the board's claim? Step 1 State the null, alternative hypothesis, and identify the claim Step 2 Find the critical values(s) and critical region(s) Step 3 Compute the test value: by formula or TI CALCULATOR Step 4 Make the decision to reject or do not reject Ho and summarize the results. • Show how you arrived at your solution on the answer sheet for full credit. Write neatly, clearly 7 and be organized. 6. The U.S. Department of Agriculture claims that the mean consumption of coffee by a person in the United States is more than 24.2 gallons per year. A random sample of 120 people in the people in the United States shows that the mean coffee consumption is 23.5 gallons per year 'With a standard deviation of 3.2 gallons. At a = 0.05, can you reject the claim? Step 1 State the null, alternative hypothesis, and identify the claim Step 2 Find the ~ritical values(s) and critical region(s) Step 3 Compute the test value: by formula or TI CALCULATOR Step 4 Make the decision to reject or do not reject Ho and summarize the results.