Question

population. The 9595​% confidence interval for the population standard deviation sigmaσ is ​(0.02720.0272​,0.04340.0434​). The population standard deviation of the volumes of the​ bottles' contents should be less than 0.0350.035 fluid ounce. Does the confidence interval for sigmaσ suggest that the variation in the volumes of the​ bottles' contents is at an acceptable​ level? Explain your reasoning.

Answer 1

does not suggest.

Explanation:

Given that 95% confidence interval for the population standard deviation
`\sigma  = ​(0.0272​,0.0434).`

Our hypotheses are:

`H_0: \sigma = 0.035\\H_a: \sigma <0.035\\`

(Left tailed test )

The confidence interval contains the value in null hypothesis as 0.035

This implies that null hypothesis is right

So we accept null hypothesis.

The confidence interval for sigmaσ suggest that the variation in the volumes of the​ bottles' contents isnot at an acceptable​ level, because

it is not evident that sigma <0.035