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.

#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