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Homework answers / question archive / Imagine that you are undertaking a study of bus drivers in Los Angeles, California

Imagine that you are undertaking a study of bus drivers in Los Angeles, California

Math

Imagine that you are undertaking a study of bus drivers in Los Angeles, California. You find that the mean number of miles driven by all drivers is 35,500 per year, with a standard deviation of 5,000. In a sample of 22 bus drivers from an affluent area of the city, you find that the number of miles driven is normally distributed, with a mean of 32,000 miles per year. Based on research from other cities, you suspect that bus drivers in the affluent area will drive significantly fewer miles than the typical bus driver. Presuming that a = .10: a) Indicate whether a one- or two-tailed test would be appropriate and explain why. (2 points) b) State appropriate null and alternate hypotheses in notational form. (2 points) c) Indicate whether a t or z statistic would be appropriate in step 2 of hypothesis testing and explain why. (2 points). d) Define a Type I error and indicate what its value would be? (2 points)

 

 

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Below is the summary of answers:

a) 

One-tailed

 

b) 
Ho=35,500

Ha<35,500

 

c) t-test

 

d) Type I error is the probability value that depends on the given level of significance. In this problem it is set at 0.10, which tells us that there you are willing to take a 0.10 or 10% of rejecting a true null hypothesis when in fact it is true.

see the full answer.

A) one - tailed directional test must be used based on the context of the problem.
b) H0:µ =35,500
     Ha:µ<35,500
C) T-test would be appropriate in testing the hypothesis because the sample size 
is less  than 30.
D)Type |error is probability value that depends on the given level of significance. in this problem it is set at 0.10, which tells us that there you are willing to take a 0.10 or 10% of rejecting a true null hypothesis when in fact it is true. 

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