A simple random sample of 17 observations is derived from a normally distributed population with a...

A simple random sample of 17 observations is derived from a normally distributed population with a known standard deviation of 3.5. [You may find it useful to reference the z table.]

a. Is the condition that X−X− is normally distributed satisfied?

b. Compute the margin of error with 99% confidence. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer to 2 decimal places.)

Margin of error ______________

c. Compute the margin of error with 95% confidence. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer to 2 decimal places.)

Margin of error ______________

d. Which of the two margins of error will lead to a wider interval?

The margin of error with 99% confidence.
The margin of error with 95% confidence.

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Expert Solution

Answer:

Given that:

A simple random sample of 17 observations is derived from a normally distributed population with a known standard deviation of 3.5.

a) Is the condition that X is normally distributed satisfied?

Yes

Sampling distribution of sample means follow normal distribution irrespective of sample size,when population is normally distributed.

b) Compute the margin of error with 99% confidence

c) Compute the margin of error with 95% confidence

d) Which of the two margins of error will lead to a wider interval?

The margin of error with 99% confidence.

orchestra answered 1 year ago

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