Question

Suppose that the height of Asian males aged 35–44 in the United States is normally distributed with a standard deviation of 3 in. Jeremy takes a simple random sample of 16 such men and notices that none of them are unusually tall or unusually short. He then calculates the average of the sample to be 69 in. and is planning on using this to find a 95% z?confidence interval for the true mean height.
Can Jeremy use this information to find the z?confidence interval? Complete the following sentences.

The population distribution is_________________ (Options: Irrelevant, unknown, normal , skewed)

The sample______________ (Options: size is irrelevant, size is large enough, contains one or more outliers)

and the population standard deviation is _________________(options: irrelevant, unknown, too big, too small, known)

Therefore,___________(Options, yes all the requirements are met, or no, not all the requirement are met)

Answer 1

Answer:

The population distribution is normal

The sample size is large enough.

and the population standard deviation is known

Therefore, yes all the requirements are met.

Step-by-step explanation:

For the z-distribution interval, we need a large enough sample, say, larger than 10, of a population, with mean and standard deviation.

So

Can Jeremy use this information to find the z?confidence interval?

The population distribution is normal

The sample size is large enough.

and the population standard deviation is known

Therefore, yes all the requirements are met.