Question

The weights of bottles of Meguiar's Gold Class Car Wash Shampoo and Conditioner are normally distributed, with a population mean of 64 ounces. The population standard deviation is 2.7 ounces. A consumer advocacy group takes a random sample of 36 bottles of Meguiar's Gold Class Car Wash Shampoo and Conditioner and weighs each bottle.

Part 1

What is the probability that the mean weight of the sample will exceed 63 ounces?

ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules.)

Part 2

What is the probability that the mean weight of the sample will be less than 63.86 ounces?

ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules.)

Part 3

What is the probability that the mean weight of the sample will be between 63.5 ounces and 64.3 ounces?

ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules.)

Part 4

Repeated random samples of n = 36 bottles of Meguiar's Gold Class Car Wash Shampoo and Conditioner are drawn from the population and the mean weights are calculated for each sample. Twenty percent of the sample means will be less than  ounces.

Answer 1