Question

The following are heights (in inches) of randomly selected women: 63.7, 61.2, 66.0, 62.5, 65.7, 64.4,...

The following are heights (in inches) of randomly selected women:

63.7, 61.2, 66.0, 62.5, 65.7, 64.4, 63.0, 61.9

  1. Find the best point estimate of the population variance σ².
  2. Construct a 95% confidence interval estimate of the population standard deviation σ.
  3. Does the confidence interval contain the standard deviation value of 2.5 inches? (Women’s heights are known to have a standard deviation of 2.5 inches).

PLEASE WRITE CLEARLY. PLEASE SHOW STEP BY STEP SOLUTION

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Answer #1

explanation for part (a)

mean = 63.55

data data-mean (data - mean)2
63.7 0.15 0.0225
61.2 -2.35 5.5225
66.0 2.45 6.0025
62.5 -1.05 1.1025
65.7 2.15 4.6225
64.4 0.85 0.7225
63.0 -0.55 0.3025
61.9 -1.65 2.7225

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