Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level. Round all amounts and standard scores to two decimal places.
-A manufacturer claims that the mean amount of juice in its 16 ounce bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The mean volume of juice for a random sample of 70 bottles was 15.94 ounces. Test whether the claim that the mean amount of juice for all 16-ounce bottles is less than 16.1 ounces is supported or not supported. Assume that ? = 0.9 ounces.
A)supported
B)not supported

Question

Quizplus · Accepted Answer

The null hypothesis is that the mean amount of juice is 16.1 ounces, and the alternative hypothesis is that it is less than 16.1 ounces. The test statistic is calculated as (15.94 - 16.1) / (0.9/√70) = -1.52. The critical value for a one-tailed test at the 0.05 significance level is approximately -1.645. Since -1.52 is greater than -1.645, we fail to reject the null hypothesis. Therefore, the claim that the mean amount of juice is less than 16.1 ounces is not supported.

Conduct a Full Hypothesis Test and Determine If the Given