An orange grower is introducing a new variety of orange. The grower daims that the new oranges have a mean pH of 4.9. 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 5.1 with a sample standard deviation of 0.4. Assume that the population of pH values of the new aranges 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 H, the mean pH of the new oranges, is 4.9. (a) State the null hypothesis H, and the alternative hypothesis H that you would use for the test. * OP H: 0 H: 0 (b) Perform a hypothesis test. The test statistic has ai distribution (so the test is a I test"). Here is some other information to help you with your test. • fn0ns is the value that cuts off an area of U.025 in the right tail. The value of the test statistic is given by = Student's t Distribution 04 Stup 1: Enter the number af degrees af freedom. Step 2: Select oe-lailed or Iwa-tailed. O One-tailed O Two tailed Step 3: Enter the critical value(s). (Round to 3 decimal places.) 0.1 Step 4: Enter the test statistic. (Round to 3 decimal places.) (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the orange grower. O ince the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to reject the daim that the mean pH of the new oranges is 4.9. ? O Since the value of the test statistic lies in the rejection region, the null hypathesis is not rejected. So, there is not enough evidence to reject the claim that the mean pH of the new oranges is 4.9. O 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 daim that the mean pH of the new oranges is 4.9. O Since the value of the test statistic doesn't lie 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 4.9.
An orange grower is introducing a new variety of orange. The grower daims that the new oranges have a mean pH of 4.9. 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 5.1 with a sample standard deviation of 0.4. Assume that the population of pH values of the new aranges 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 H, the mean pH of the new oranges, is 4.9. (a) State the null hypothesis H, and the alternative hypothesis H that you would use for the test. * OP H: 0 H: 0 (b) Perform a hypothesis test. The test statistic has ai distribution (so the test is a I test"). Here is some other information to help you with your test. • fn0ns is the value that cuts off an area of U.025 in the right tail. The value of the test statistic is given by = Student's t Distribution 04 Stup 1: Enter the number af degrees af freedom. Step 2: Select oe-lailed or Iwa-tailed. O One-tailed O Two tailed Step 3: Enter the critical value(s). (Round to 3 decimal places.) 0.1 Step 4: Enter the test statistic. (Round to 3 decimal places.) (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the orange grower. O ince the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to reject the daim that the mean pH of the new oranges is 4.9. ? O Since the value of the test statistic lies in the rejection region, the null hypathesis is not rejected. So, there is not enough evidence to reject the claim that the mean pH of the new oranges is 4.9. O 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 daim that the mean pH of the new oranges is 4.9. O Since the value of the test statistic doesn't lie 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 4.9.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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