Alocal juice manufacturer distributes juice in bottles labeled 12 ounces. a government agency thinks that the company is cheating its customers. the agency selects 20 of these bottles, measures their contents, and obtains a sample mean of 11.7 ounces with a standard deviation of 0.7 ounce. use a 0.01 significance level to test the agencyʹs claim that the company is cheating its customers. round the test statistic to the nearest thousandth.

Let be the population mean .

By considering the given information , we have the following hypothesis :-

Since the alternative hypotheses is two tailed so the test is a two tailed test.

We assume that the quantity of juices is normally distributed.

Given : Sample size :  n=20 , which is less than 30 .

It means the sample is small so we use t-test.

Sample mean :

Standard deviation :

Test statistic for population mean :-

Critical value :

Since the  critical value is greater than the observed value , so we reject the null hypothesis.

Hence, we have enough evidence to support the agency's claim.

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step-by-step explanation:

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