Part A

An orange grower is introducing a new variety of orange. The grower claims that the new oranges have a mean ph of 5. To test the claim, an independent researcher chose a random sample of 24 of the new oranges, finding they had a sample mean ph of 4.8 with a sample standard deviation of 0.6. Assume that the population of pH values of the new oranges is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to reject that , the mean pH of the new oranges, is 5. (a) State the null hypothesis Ho and the alternative hypothesis /, that you would use for the test. X Ho: 0 H: 020 0=0 0*0 X 5 ? (b) Perform a hypothesis test. The test statistic has a f distribution (so the test is a ": test"). Here is some other information to help you with your test. . 10.025 is the value that cuts off an area of 0.025 in the right tail. . The value of the test statistic is given by t = x - u Student's t Distribution Step 1: Enter the number of degrees of freedom. 03