For each of the following situations in problems 6-10, determine which of the fo
ID: 3364761 • Letter: F
Question
For each of the following situations in problems 6-10, determine which of the following tests sho Assume necessary conditions have been met. (Answers may be used more than once or not at all y d be used A. 1 sample z test 8.1 sample t test C. 2 sample t test D. Chi-squared G. matched pairs t test E. 1 proportion z test F.2 proportion z test 6. Consumer Reports (Uanuary 1993) stated that the mean retail cost of an AT&T; model 3730 cellular phone A random sample of 10 stores in Los Angeles had a mean cost of $586.50 with standard deviat was $600. $26.77. Does this indicate that the mean cost in Los Angeles is less than $600? 7. Athabasca Fishing Lodge is located on Lake Athabasca in northern Canada. In one of their recent brochures, the lodge advertises that 75% of their guests catch northern pike over 20 pounds. Suppose that last summer 64 out of a random sample of 83 guests did in fact catch northern pikes weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pikes over 20 pounds is different from 75%? 8.A new law has been passed geiving city police greater powers in apprehending suspected criminals. For six neighborhoods, the numbers of reported crimes one year before and one year after the new law are shown. Does this indicate that the number of reported crimes have dropped? Neighborhood1 Before After 18 21 35 23 28 19 37 30 24 29 9, A machine has a record of producing 80% excellent, 16% good, and 4% unacceptable parts. After extensive repairs, a sample of 200 produced 157 excellent, 42 good, and 1 unacceptable part. Have the repairs changed the nature of the output of the machine? 10. A random sample of 378 hotel guests was taken one year ago, and it was found that 178 requested nonsmoking rooms. Recently, a random sample of 516 hotel guests showed that 320 requested nonsmoking rooms. Do these data indicate that the proportion of hotel guests requesting nonsmoking rooms has increased? . Problems came from Devore, lax andExplanation / Answer
6) Here sample mean is compared with population mean but population sample standard deviation is unknown so
1 sample t-test is used. option B.
7) In this question we are comparing the sample proportion with population proportion and sample size n is 83>30
If n>30 we can use 1 proportion z test . option E.
8) In this number of crime reports for neighborhoods are compared for before and after a year
Matched pairs t test is used. option G.
9) As there are more than 2 proportions we choose Chisquare test. option D
10) here we are comparing proprtion of guests requesting for non smoking rooms before and after a year. It is a comparision of two sample proportions we use 2 proportion z test. option F.
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