Perform all steps for each problem: state hypothesis, identify claim, find critical value(s), compute test value, make decision, and summarize results.

Use traditional method of hypothesis testing unless otherwise specified.

5. An oceanographer believes that the median height of the waves at Ocean city is 2.8 ft.  The wave heights (in feet) are measured for a random sample of 20 days.  The data are shown here.  Significance level=.05.  Is there enough evidence to reject the oceanographer’s claim?

9.  Out of 37 first-grade students, 15 completed a manual dexterity test in less than 7.3 minutes.  Significance level=.0.05 is there enough evidence to reject the claim that the median time to complete the test is 7.3 minutes

11.  Of 50 students surveyed, 29 favored single-room dormitories.  Significance level=0.02, test the hypothesis that more than 50% of the students favor single-room dormitories.  Use the P-value method.

15.  A study was conducted to see whether a certain diet medication had an effect on the weights (in pounds) of 8 women.  Their weights were taken before and 6 weeks after daily administration of the medication. Data is shown below.  Significance level=0.05, can one conclude that the medication had an effect (increase or decrease) on the weights of the women?

17.  An educator designed a reasoning skills course.  9 students were selected and given a pretest to then determine their reasoning abilities.  After completing the course, the same students were given an equivalent form of the test to see whether their reasoning skills had improved.  The data are shown here.  Significance level=0.05, did the course improve their reasoning skills?

19.  To test a theory that alcohol consumption can have an effect on test scores, a researcher conducts a study 10 adults.  Each is given a test.  Then for one week, each subject is required to consume a certain amount of alcohol; then he or she is retested.  The results are show here. Significance level=0.1, test the claim that alcohol does not affect a person’s test score

13-4

1. state hypotheses, identify claim
2. find critical value
3. compute rest value
4. make decision
5. summarize results

5.  A researcher surveyed married women and single women to ascertain whether there was a difference in the number of books each had read during the past year.  The data is shown.  Significance level=0.1, test claim that each group read the same number of books.

7.  Over the past 12 years, a statistician kept track of the total number of academic scholarships awarded to Valley View High school seniors and seniors at their rival school, Ocean View High school.  The data are shown here.  Significance level=0.05, is there a difference in the number of academic scholarships awarded to seniors at the schools?

9.  The results of a study of payments for flood damages awarded by insurance companies in two Texas cities are shown here.  The data are given in dollars.  Significance level=0.05, is there a difference in the amount of money awarded for flood damages in the two cities?

13-5

9.  8 students were given a pretest to measure their public speaking anxiety.  They completed a workshop to reduce their anxiety and were then given a posttest.  Significance level=0.05, can one conclude that they workshop reduced anxiety? The pretest and posttest scores are shown here.( a lower score indicates lower anxiety)

11.  Using the data about police forces, can it be concluded that police forces have become larger for the 10-year period in the sample of cities shown in the data. Significance level=0.05

13-6

1. state hypothesis and identify claim
2. find critical value
3. compute test value
4. make the decision
5. summarize results

1. Samples of four different cereals show the following number of calories for the suggested servings of each brand.  Significance level=0.05, is there a difference in the number of calories for the different brands?

5.  3 different types of soils are used to grow strawberries.  The yields (in quarts) for plots of the same size are shown here.  Significance level=0.01, is there a difference in the yields of the 3 plots?

9.  In a large city, the number of crimes per week in 5 precincts in recorded for 5 weeks.  The data are shown here.  Significance level=0.01, is there a difference in the number of crimes?

11.  3 different methods of first-aid instruction are given to students.  The same final examination is given to each class.  The data are shown here.  Significance level=0.10, is there a difference in the final examination scores? Use the P-value method.

13-7

1. find Spearman rank correlation coefficient
2. state hypothesis
3. find critical value. Use a=0.05
4. make decision
5. summarize results

5.  The table shows the total number of tornadoes that occurred in 10 states from 1962 to 1991 and the record high temperatures for the same states.  At significance level=0.10, is there a relationship between the number of tornadoes and the record high temperatures?

9.  8 music videos were ranked by teenagers and their parents on style and clarity, with 1 being the highest ranking.  The data are shown here.  Significance level=0.05, is there a relationship between the rankings?

11.  6 model kitchens were rated for style and convenience by independent interior designers and by potential customers.  The scale ran from 1 to 100 points, with 1 being the lowest, and 100 the highest.  The data are shown here.  Significance level=0.05, is there a relationship between the two ratings?

13.  12 cars were rated for style, performance, drivability, etc., by independent automotive engineers and by potential customers.  The scale ran from 1 to 100 points, with 1 being the lowest, 100 the highest.  The data are show here is there a relationship between the two ratings?

15.  A school dentist wanted to test the claim, at significance level=0.05, that the number of cavities in fourth-grade students is random.  40 students were checked, and the number of cavities each had is shown here.  Test for randomness of the values above or below the median.

19.  A machine manufactures audiocassette cases that are either defective (D) or acceptable (A).  The sequence is shown here.  Significance level=0.05, test for randomness

21.  A supervisor records the number of employees absent over a 30-day period.  Test for randomness. Significance level=0.05

23.  These data are the scores on an IQ exam in the order that the students finished the test. Significance level=0.05, test for randomness

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