MAT 157 Q8b
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Q8b
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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)?
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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).
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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?
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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).
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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?
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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.
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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.
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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.
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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?
- 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