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At a recent PTA meeting, Mrs. Anderson voiced a complaint that the school children spend too much time on school buses, and she demanded that

At a recent PTA meeting, Mrs. Anderson voiced a complaint that the school children spend too much time on school buses, and she demanded that more buses and shorter routes be provided. The representative from the Board of Education responded that, on the average, a school child spends only 30 minutes per day on the bus. Mrs. Anderson promptly retained you to conduct an investigation of her claim. You then selected 10 names at random from the student body and had those students keep careful records of the amount of time they spent on the bus on a randomly selected day in a randomly selected week in April. The scores are given below.

Student Time on Bus (minutes)

1 32

2 28

3 38

4 35

5 35

6 29

7 31

8 37

9 40

10 27

1. What is the best statement of the Research and the Null Hypothesis? (10 points)

a.

H1: Children spend too much time on the bus;

H0: Children spend an average amount of time on the bus.

b.

H1: Children spend too much time on the bus;

H0: Children do not spend too much time on the bus.

c.

H1: Children spend too much time on the bus;

H0: Children spend too little time on the bus.

d.

H1: Children spend an average amount of time on the bus;

H0: Children do not spend an average amount of time on the bus.

Question 2

Select an alpha level that will maximize the probability of rejecting a false null hypothesis (Do not use the default alpha level.). What is the critical value of the statistic that corresponds to that alpha level?

a. 2.821
b. 1.372
c. 1.833
d. 1.383

Question 3

Select the appropriate statistic to test your hypothesis. What is the value of the appropriate statistic? (Use the absolute value.)

2.27
1.41
1.833
1.383

Question 4

What is the correct value for the Standard Error?

1.41
1.833
1.383
2.27

Question 5

Which of the following is the most appropriate statement of your Decision?

a. tobt =(your value)< tcrit (your value); Reject Ho in support of H1: The children spend too much time on the bus.
b. tobt =(your value) > tcrit (your value); Reject Ho in support of H1: The children spend too much time on the bus.
c. tobt =(your value)< tcrit (your value); Retain Ho: The children spend too much time on the bus.
d. tobt =(your value) > tcrit (your value); Retain Ho: The children spend an average amount of time on the bus.

Question 6

If you look at the Magnitude of Effect of the time that children spend on the bus in this study, how many standard deviation units is your mean different from the average?

0.72
1.41
0.83
0.27

Question

You can be 95% Confident that the population mean of time spent on the bus falls within a certain Interval. For these data, what is that Interval?

a. 32.53 - 34.92
b. 30.01 - 36.39
c. 33.20 - 30.00
d. 15.05 - 18.19

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