MNM Corporation gives each of its 500 employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 36 is taken from the population of 500 employees. Using only the appropriate statistical table in your textbook, what is the probability that the average aptitude test score in the sample will be less than 78.69?ANSWER:  (Report your final answer to 4 decimal places, using conventional rounding rules) Using only the appropriate statistical table in your textbook, four percent of the samples of n = 36 taken from this population should have a mean test score above what value?ANSWER:  (Report your final answer to 4 decimal places, using conventional rounding rules)

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Asked Dec 2, 2019
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MNM Corporation gives each of its 500 employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 36 is taken from the population of 500 employees.

 

Using only the appropriate statistical table in your textbook, what is the probability that the average aptitude test score in the sample will be less than 78.69?

ANSWER:  (Report your final answer to 4 decimal places, using conventional rounding rules)

 

Using only the appropriate statistical table in your textbook, four percent of the samples of n = 36 taken from this population should have a mean test score above what value?

ANSWER:  (Report your final answer to 4 decimal places, using conventional rounding rules)

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Step 1

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Population mean (u)= 75 Standard deviation (o) 15 Sample size (n)-36

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Step 2

Consider, X be the random variable that represents the test scores is normally distributed with a mean of 75 and a standard deviation of...

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P(x <78.69) P 78.69-75 = Pz- 15 36 P(z <1.476) From standard normal table) =0.9306

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