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## A random sample of n = 64 observations has a mean x = 29.9 and a standard deviation s = 3.7. (a) Give the point estimate of the

Question

A random sample of n = 64 observations has a mean x = 29.9 and a standard deviation s = 3.7.

(a) Give the point estimate of the population mean μ. Find the 95% margin of error for your estimate. (Round your answer to four decimal places.)

(b) Find a 90% confidence interval for μ. (Round your answers to three decimal places.)

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Math
6 days
2021-09-11T00:06:20+00:00
2021-09-11T00:06:20+00:00 1 Answer
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## Answers ( )

Answer:(29.128,30.672)

Step-by-step explanation:Given that a random sample of n = 64 observations has a mean x = 29.9 and a standard deviation s = 3.7.

a) the point estimate of the population mean μ.

= Sample mean = 29.9

For 90% we use t critical value since population standard deviation is not known.

T critical for 90% is 1.669

Margin of error = ±

b) Confidence interval 90%

= Mean±Marginof error

=