Question

The weights of a random sample of containers that are supposed to weigh 100 grams are listed below:

105.2 103.5 98.6 100.3 99.1 97.8 101.2 96.0

The sample statistics are: ?̅= 100.213, ? = 3.025

Can we infer, at the 5% significance level, that the variance of container weights is greater than 7? Assume the required conditions are satisfied.

Answer 1

given data are:-

hypothesis:-

[ claim ]

test statistic be:-

df = (n-1) = (8-1) = 7

the p value is :-

[ in any blank cell of excel type =CHISQ.DIST.RT(9.1506,7) ]

decision:-

p value = 0.2420 > 0.05 (alpha)

we fail to reject the null hypothesis.We conclude that there is not enough evidence to claim that the variance of container weights is greater than 7.

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