#1

A survey is being planned to determine the mean amount of time corporation executives watch television. A pilot survey indicated that the mean time per week is 15 hours, with a standard deviation of 3.5 hours. It is desired to estimate the mean viewing time within one-quarter hour. The 98 percent level of confidence is to be used.

How many executives should be surveyed?

#2

Schadek Silkscreen Printing Inc. purchases plastic cups on which to print logos for sporting events, proms, birthdays, and other special occasions. Zack Schadek, the owner, received a large shipment this morning. To ensure the quality of the shipment, he selected a random sample of 300 cups. He found 15 to be defective.

(a) What is the estimated proportion defective in the population? (Round your answer to 2 decimal places.)

Estimated proportion defective ( )

(b) What are the endpoints of a 95 percent confidence interval for the proportion defective. (Round your answers to 3 decimal places.)

Endpoints ( , )

(c) Zack has an agreement with his supplier that he is to return lots that are 10 percent or more defective. Should he return this lot?

( )- no, lot not 10% defective

( )- yes, the lot is 10% defective

( )- yes 15 is outside the confidence interval

#3

A sample of 12 observations is selected from a normal population for which the population standard deviation is known to be 4. The sample mean is 19. (Round your answers to 3 decimal places.)

(a) The standard error of the mean is [ ]

(c) The 90 percent confidence interval for the population mean is between [ ] and [ ] .

#4

The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 20 chickens shows they laid an average of 19 eggs per month with a standard deviation of 2.06 eggs per month.

(a-1) What is the value of the population mean?

19, 2.06, or unknown

(a-2) What is the best estimate of this value? [ ]

(c) For a 90 percent confidence interval, the value of t is [ ] . (Round your answer to 3 decimal places.)

(d) The 90 percent confidence interval for the population mean is [ ] to [ ] (Round your answers to 3 decimal places.)

(e-1) Would it be reasonable to conclude that the population mean is 22 eggs?

yes or no

(e-2) What about 24 eggs?

yes or no

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