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If 10 determinations of specific heat of iron had a standard deviation of 0.0086, test the...


If 10 determinations of specific heat of iron had a standard deviation of 0.0086, test the null hypothesis that σ=0.01 for such determinations. Use the alternative hypothesis σ<0.01 and level of significance 0.05.

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Answer #1

given data are:-

sample size (n) =10

sample sd (s) = 0.0086

hypothesis:-

test statistic is:-

df = (n-1) = (10-1) = 9

p value :-

(as this is a left tailed test)

[in any blank cell of excel type CHISQ.DIST(6.6564,9,TRUE) ]

decision:-

p value = >0.05 (alpha)

so. we fail to reject the null hypothesis at 0.05 level of significance.

***in case of doubt, comment below. And if u liked the solution, please like.

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