A local bottler in Hawaii wishes to ensure that an average of 14 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 31 bottles. The mean weight of the passion fruit juice in the sample is 13.38 ounces. Assume that the population standard deviation is 1.27 ounce.(You may find it useful to reference the appropriate table:z tableort table)

a.Select the null and the alternative hypotheses to test if the bottling process is inaccurate.

• H₀:= 14;H_A: 14
• H₀: 14;H_A:> 14
• H₀: 14;H_A:< 14

b-1.Calculate the value of the test statistic.(Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)