# Defective Product

(1) A mall manager claims that in average every customer spends \$42 per a single visit to the mall. To test the 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 claim the results.

(2) A bank manager wanted to estimate the mean number of transactions per month. For a sample of 55 businesses, he found that mean number of transaction per month to be 32 and the standard deviation to be 7.5 transactions.

(a) Find 90% 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.

(3) 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.

(4) The ages of 10 students are listed in years (17,22,19,24,21,23,29,18,22,28)

(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?

Need help with this assignment or a similar one? Place your order and leave the rest to our experts!