Using the weights of the M and M candies, we use the standard deviation of the s
ID: 2955715 • Letter: U
Question
Using the weights of the M and M candies, we use the standard deviation of the sample (s = 0.05179g) to obtain the following 95% confidence interval estimate of the standard deviation of the weights of all M and M's: 0.0455 g < s < 0.0602g.Is the confidence interval given above equvalent to the expression (0.0455g, 0.0602 g)? Is the confidence interval given above equivalent to the expression 0.05285 g +- 0.00735g? Why or Why not? Using the weights of the M and M candies, we use the standard deviation of the sample (s = 0.05179g) to obtain the following 95% confidence interval estimate of the standard deviation of the weights of all M and M's: 0.0455 g < s < 0.0602g.
Is the confidence interval given above equvalent to the expression (0.0455g, 0.0602 g)? Is the confidence interval given above equivalent to the expression 0.05285 g +- 0.00735g? Why or Why not?
Explanation / Answer
The ways of expressing the confidence intervals are one and the same, becuause the standard deviation has the same units of measurement (such as minutes or grams or dollars) as the original data values.
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