Question

Please refer to 9-78 in your textbook. The data from Technometrics described in exercise

3.481 3.448 3.485 3.475 3.472
3.477 3.472 3.464 3.472 3.470
3.470 3.470 3.477 3.473 3.474

considered the variability in repeated measurements of the weight of a sheet of paper. In summary, the sample standard deviation from 15 measurements was 0.0083 grams. Does the measurement standard deviation differ from 0.01 grams at α = 0.05? Find the P-value for this test.

		No, 0.0425
		No, 0.425
		Yes, 0.425
		Yes, 0.0425

Answer 1

given data are:-

sample sd (s) = 0.0083

sample size(n) = 15

hypothesis:-

the test statistic be:-

df = (n-1) = (15-1) = 14

p value :-

[ in any blank cell of excel type =CHISQ.DIST(9.6446,14,TRUE) press enter.]

decision:-

p value = 0.425 >0.05 (alpha)

so, we fail to reject the null hypothesis. there is not enough evidence to claim that the measurement standard deviation differ from 0.01 grams at α = 0.05.

the correct option be:-

No, 0.425

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