Question

Mattel Corporation produces a remote controlled car that requires "three AA batteries." The mean life of...

Mattel Corporation produces a remote controlled car that requires "three AA batteries." The mean life of these batteries in this product id 35 hours. The distribution of the battery lives closely follow the normal probability distribution with a standard deviation of 5.5 hours.

a. compute the expected value and standard deviation of the sample mean.

b.What is the probability that the average life of these batteries will be less than 30 hours?

c.What is the probability that the average life of these batteries will be more than 38 hours?

d. What is the probability that the average life of these batteries will be between 29 and 34 hours?

e. There is a 73 percent chance that the life of these batteries will be below _____ many hours?

f. At least 46 percent of the mean life of these batteries will have _____ hours?

g. The probability that 82 percent of sample mean/average life of these batteries will be symmetrically distributed between what two values around the population mean?

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