12. A food manufacturer claims that at the time of purchase by a consumer the average age of its product is no more than 120 days. In an experiment to test this claim a random sample of 36 items are...

answer 12d

Extracted text: 12. A food manufacturer claims that at the time of purchase by a consumer the average age of its product is no more than 120 days. In an experiment to test this claim a random sample of 36 items are found to have ages at the time of purchase with a sample mean of x = 122.5 days and a sample standard deviation of s = 13.4 days. (a) Write down the null hypothesis and the alternative hypothesis that the experimenter should use for the test. (b) For what values of the t-statistic does the experimenter accept the null hypothesis with a level of significance a = 0.10? (c) Is the null hypothesis accepted or rejected with a = 0.10? (d) Write down an expression for the p-value and estimate it. Step 1 We have given that Sample size n= 36 , xbar= 122.5 s= 13.4 and mu= 120 level of significance =alpha = 0.10 Step 2 sol? @ Null &alternative hypothesis Ho: U = 120 |HiH>120 t - test : 6 test statistic t) we use 12 2.5- 120 %D %3D 13:4/536 t = 11 1 9 (P.volue = 0.135 ļ at right failed test ļ df =n-1=35 © pavabue Vaject the null kypotheis. · (35>a=0.1o, so we fail to = O.