QUESTION 30 1. The policy of the Suburban Transit authority is to add a bus rout

Question

QUESTION 30

1.      The policy of the Suburban Transit authority is to add a bus route if more than 55 percent of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. You will be testing to determine if the Bowman-to-downtown route meets the STA criterion using the .05 significance level. What is the alternate hypothesis?

Ho: proportion > .55

H1: proportion > .55

H1: proportion < .55

H1: proportion > .60

QUESTION 31

1.      The policy of the Suburban Transit authority is to add a bus route if more than 55 percent of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. You will be testing to determine if the Bowman-to-downtown route meets the STA criterion using the .05 significance level. What is the value of your critical value?

1.96

-1.96

1.645

-1.645

QUESTION 32

1.      The policy of the Suburban Transit authority is to add a bus route if more than 55 percent of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. You will be testing to determine if the Bowman-to-downtown route meets the STA criterion using the .05 significance level. What is the value of your test statistic?

.60

.85

.05

.55

QUESTION 33

1.      The policy of the Suburban Transit authority is to add a bus route if more than 55 percent of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. You will be testing to determine if the Bowman-to-downtown route meets the STA criterion using the .05 significance level. What is your decision?

reject H1

do not reject Ho

reject Ho

indeterminate

QUESTION 34

1.      The policy of the Suburban Transit authority is to add a bus route if more than 55 percent of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. You will be testing to determine if the Bowman-to-downtown route meets the STA criterion using the .05 significance level. What is your conclusion?

There is evidence that more than 55% would use the route and therefore the STA criteria is met.

There is no evidence that more than 55% would use the route and therefore the STA criteria was not met.

.60 is greater than .55 so the criteria is met

indeterminant

QUESTION 35

1.      An industrial engineer would like to determine whether there are more units produced on the afternoon shift than on the morning shift. A sample of 50 morning-shift workers showed that the mean number of units produced was 345, with a standard deviation of 21. A sample of 60 afternoon-shift workers showed the mean number of units produced was 351, with a standard deviation of 28 units. At the .05 significance level we will test if the mean number of units produced on the afternoon-shift is larger. Is this a one sample test or a two sample test?

one sample test

two sample test

neither

both

QUESTION 36

1.      An industrial engineer would like to determine whether there are more units produced on the afternoon shift than on the morning shift. A sample of 50 morning-shift workers showed that the mean number of units produced was 345, with a standard deviation of 21. A sample of 60 afternoon-shift workers showed the mean number of units produced was 351, with a standard deviation of 28 units. At the .05 significance level we will test if the mean number of units produced on the afternoon-shift is larger. Is this a one tail or two tail test?

neither

one tail

two tail

Ho: proportion > .55

H1: proportion > .55

H1: proportion < .55

H1: proportion > .60

Explanation / Answer

30)H1: proportion > .55

31)1.645

32)std error of mean =(p(1-p)/n)1/2  p=0.55 ; n=70

=0.0595

here phat=42/70=0.6

hence test stat =(phat-p)/std error =(0.6-0.55)/0.0595 =0.85

33)do not reject Ho

34)There is no evidence that more than 55% would use the route and therefore the STA criteria was not met.

35)two sample test

36)one tail

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