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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Brielle 6 days 2021-09-11T00:06:20+00:00 1 Answer 0

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    2021-09-11T00:07:52+00:00

    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 = ±1.669*\sqrt{\frac{3.7}{\sqrt{64} } } \\=0.7719

    b) Confidence interval 90%

    = Mean±Marginof error

    = (29.128,30.672)

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