Alocal brewery distributes beer in bottles labeled 24 ounces. a government agency thinks that the brewery is cheating its customers. the agency selects 50 of these bottles, measures their contents, and obtains a sample mean of 23.6 ounces with a standard deviation of 0.70 ounce. use a 0.01 significance level to test the agency's claim that the brewery is cheating its customers.

Let the population mean.

The hypothesis for the given situation :-

, since the alternative hypothesis is left-tailed , so the test a left-tailed test.

The sample size : , since n>30 so its a large sample . We use z-test.

Sample mean :

Standard deviation :

Significance level :

The test statistic for population mean :-

i.e.

The p-value :

Since, the p-value is less than the significance level , so we reject the null hypothesis.

Hence, we have evidence to accept the agency's claim that the brewery is cheating its customers.

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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