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Mathematics, 05.05.2020 11:49 BLUE1700
A local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. In order to analyze the accuracy of the bottling process, he takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.
a. Select the null and the alternative hypotheses for the test.
1. H0: μ = 22; HA: μ ≠ 22
2. H0: μ ≤ 22; HA: μ > 22
3. H0: μ ≥ 22; HA: μ < 22
b. Calculate the value of the test statistic.
c. Find the critical value(s).
d. What is the conclusion?
1. Reject H0 since the value of the test statistic is not less than the negative critical value.
2. Reject H0 since the value of the test statistic is less than the negative critical value.
3. Do not reject H0 since the value of the test statistic is not less than the negative critical value.
4. Do not reject H0 since the value of the test statistic is less than the negative critical value.
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