Question

A certain brand of rope is known to have a breaking strength of 520 pounds with...

A certain brand of rope is known to have a breaking strength of 520 pounds with a standard deviation of 18 pounds. Assume the breaking strength has an approximate normal distribution. Consider a random sample of 16 coils of this brand of rope.

a. check the appropriate conditions for the sampling distribution of the sample mean (independence, large counts)

b. describe the sampling distribution of the sample mean breaking the strength from a random sample of size n=16 coils of rope

c. sketch the graph of the sampling distribution of the sample mean

d. use the sampling distribution to estimate the probability of obtaining an average breaking strength of less than 512 pounds in a random sample of 16 coils

ANSWER SHOULD BE 0.0375

Thank you!

Math   Statistics-And-Probability   
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