5. (TCO 8) A Mall manager claims that in average every customer spends $42 per a single visit to the

mall. To test this claim, you took a sample of 49 customers and found the sample mean to be $39...5. (TCO 8) A Mall manager claims that in average every customer spends $42 per a single visit to the

mall. To test this claim, you took a sample of 49 customers and found the sample mean to be $39 and the

sample standard deviation to be $9. At alpha = 0.05, test the Mall’s manager claim. Perform an

appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to

obtain the results. (Points : 20)

6. (TCO 7) A bank manager wanted to estimate the mean number of transactions businesses make per

month. For a sample of 50 businesses, he found the mean number of transaction per month to be 35 and

the standard deviation to be 9.5 transactions.

(a) Find a 99% confidence interval for the mean number of business transactions per month. Show your

calculations and/or explain the process used to obtain the interval.

(b) Interpret this confidence interval and write a sentence that explains it. (Points : 20)

7. (TCO 7) A company’s CEO wanted to estimate the percentage of defective product per shipment. In a

sample containing 600 products, he found 45 defective products.

(a) Find a 99% confidence interval for the true proportion of defective product. Show your calculations

and/or explain the process used to obtain the interval.

(b) Interpret this confidence interval and write a sentence that explains it. (Points : 20)

8. (TCO 2) The ages of 10 students are listed in years:{ 17,20,18,24,21,26,29,18,22,28}

(a) Find the mean, median, mode, sample variance, and range.

(b) Do you think that this sample might have come from a normal population? Why or why not?

20)

(Points :

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