Question

(Round all intermediate calculations to at least 4 decimal places.) A local bottler in Hawaii wishes to ensure that an average of 16 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 43 bottles. The mean weight of the passion fruit juice in the sample is 15.71 ounces. Assume that the population standard deviation is 0.68 ounce. Use Table 1. Use the critical value approach to test the bottler's concern at α = 0.01. a. Select the null and the alternative hypotheses for the test. H0: μ = 16; HA: μ ≠ 16 H0: μ ≤ 16; HA: μ > 16 H0: μ ≥ 16; HA: μ < 16 b-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) Test statistic b-2. Find the critical value(s). (Round your answer to 2 decimal places.) Critical value(s) ± b-3. What is the conclusion? Reject H0 since the value of the test statistic is not less than the negative critical value. Reject H0 since the value of the test statistic is less than the negative critical value. Do not reject H0 since the value of the test statistic is not less than the negative critical value. Do not reject H0 since the value of the test statistic is less than the negative critical value. c. Make a recommendation to the bottler. The accuracy of the bottling process is .

Answer 1