Prior to the institution of a new safety program, the average number of on-the-job  accidents per day at a factory was 4.5. To determine if the safety program has been  effective in reducing the average number of accidents per day, a random sample of 30  days is taken after the institution of the new safety program and the number of accidents per day is recorded. The sample mean and standard deviation were computed as follows: Sample mean = 3.7, standard deviation = 1.3 a. Is there sufficient evidence to conclude that the average number of on-the-job accidents per day at the factory has decreased since the institution of the safety program? b. What is the practical interpretation

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Prior to the institution of a new safety program, the average number of on-the-job 
accidents per day at a factory was 4.5. To determine if the safety program has been 
effective in reducing the average number of accidents per day, a random sample of 30 
days is taken after the institution of the new safety program and the number of
accidents per day is recorded. The sample mean and standard deviation were computed
as follows:
Sample mean = 3.7, standard deviation = 1.3
a. Is there sufficient evidence to conclude that the average number of on-the-job
accidents per day at the factory has decreased since the institution of the safety
program?
b. What is the practical interpretation of the test statistic computed in part a?

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