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An orange grower is introducing a new variety of orange The grower claims that the new oranges have a mean pH of 4 8 To test the claim an independent researcher chose a random sample of 27 of the new oranges finding they had a sample mean pH of 4 9 with a sample standard deviation of 0 5 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 10 level of significance to reject that the mean pH of the new oranges is 4 8 a State the null hypothesis H and the alternative hypothesis that you would use for the test Ho D H 0 Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed O Two tailed Step 3 Enter the critical value s Round to 3 decimal places Step 4 Enter the test statistic Round to 3 decimal places 10 05 is the value that cuts off an area of 0 05 in the right tail The value of the test statistic is given by t 04 b Perform a hypothesis test The test statistic has a distribution so the test is a test Here is some other information to help you with your test 0 3 Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to reject the claim that the mean pH of the new oranges is 4 8 0 2 0 1 O Since the value of the test statistic lies in the rejection region the null hypothesis is rejected So there is enough evidence to reject the claim that the mean pH of the new oranges is 4 8 Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is rejected So there is enough evidence to reject the claim that the mean pH of the new oranges is 4 8 H O O S Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not 020 X X X OSO 0 0 c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the claim made by the orange grower X O O S 1997 As M

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