(Round all intermediate calculations to at least 4 decimal places.) The followin
ID: 3244289 • Letter: #
Question
(Round all intermediate calculations to at least 4 decimal places.) The following values are drawn from a normal population. Use Table 3. 33 25 30 23 27 28 22 22 PictureClick here for the Excel Data File a. Calculate the point estimates for the population variance and the population standard deviation. (Round your answers to 2 decimal places.) Point Estimates Population variance Population standard deviation b. Construct the 95% confidence interval for the population variance and the population standard deviation. (Round your answers to 2 decimal places.) Confidence Interval Population variance to Population standard deviation to
Explanation / Answer
Solution:-
a). Calculate the point estimates for the population variance and the population standard deviation. (Round your answers to 2 decimal places.)
Point Estimates Population variance =
Population standard deviation = = 3.73329613077 or 3.7333
b). Construct the 95% confidence interval for the population variance and the population standard deviation. (Round your answers to 2 decimal places.)
Confidence Interval Population variance =
Confidence Interval for Variance = [(n-1)×S² / ²/2, n-1] ² [(n-1)×S² / ²1-/2, n-1]
Where, n = Sample Size = 8
S = Variance = 13.9375
= 1 - (Confidence Level/100) = 0.05
²/2, n-1 = ²-table value = 16.0128
Thus, 95% CI = 6.0928 < < 57.7327
CI for Population standard deviation.
²/2, n-1 = ²-table value = 1.6899
Thus, 95% CI = 2.4684 < < 7.5982
Total numbers (N) = 8 Mean (average) value = 26.25 Population variance (2) = 13.9375Related Questions
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