MAT 157 Q8b

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Q8b

  1. It has been claimed that at Northwestern University fewer than 35% of the students live on campus. From a sample of 300 students, 99 live on campus. They used a 1% level of significance. What would be the test stat (also called test value)?

  2. A recent survey in the state of Texas stated that 23% of the drivers on the freeways were carrying a gun. An anonymous questionnaire was sent out to 200 Texans and 50 responded that they carry a gun in their car. At a 1% significance level, give the critical value(s).

  3. A claim was made that the average score on the A.C.T. test at Jefferson College was 19, with a standard deviation of 3. A sample of 81 students had an average score of 17.8. What is the alternative hypothesis for this data?

  4. In the past, an administrative assistant could type an average of 70 words per minute with a standard deviation of 6 words. The assistant received a new word processing package and feels that her speed is now less variable than in the past. With the new word processing package, her next 12 documents had a standard deviation of 4. Let ? = 0.05. Find the critical value(s).

  5. A doctor believes that the variance of systolic blood pressure is 470. A random sample of 20 patients found a variance of 525. Assume the variable is normally distributed and ? = 0.05. What are the critical values?

  6. A professional bowler has been having trouble "hitting the pocket" in order to get strikes. His average has been 205 with a standard deviation of 10 pins. In his next 15 games, the standard deviation is 14. Test the belief that his game now has a higher standard deviation than in the past. Use ? = 0.05.

  7. The ball-bearings produced by Cole Company are to meet certain specifications before Ajax Steel will purchase them. The variance must be 0.002. A sample of 28 ball-bearings yields a variance of 0.0016. Will the ball-bearings meet the Ajax Company's specifications? Use ? = 0.05.

  8. A random sample of 500 shoppers at Quincy Mall found that 145 favored longer shopping hours. Is this sufficient evidence to conclude that less than 33% of the shoppers at Quincy Mall favor longer hours? Let ? = 0.05.

  9. A small college claims that more than 20% of the students commute more than 10 miles. A random sample of 100 students showed that 24 students traveled more than 10 miles to college. At a 5% level of significance, can we conclude that the college's claim is correct?

  10. Nine randomly selected statistics quiz scores are listed below. Use a 0.10 significance level to test the claim that the standard deviation of all scores is less than 5.

15 18 10 19 11 12 15 17 15

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