Find a 90% confidence interval estimate of the mean weight of all women based on a sample of 35 women with a mean sample weight of 150.27. the standard deviation of all women is known to be 30.87. write your answer in interval form, using values rounded to two decimals.

Answer-

The 90% confidence interval of the sample is (140.04,160.5).

Solution-

Assuming it as normal distribution,

Number of observations n = 35

Mean = X = 150.27

Standard Deviation = s = 30.87

Then Confidence Interval we want: 95%, Then the Z value for that Confidence Interval is Z = 1.960

Using that Z in this formula for the Confidence Interval,

Putting all the values,

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step-by-step explanation:

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