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 22 of the new oranges, finding they had a sample mean pH of 5.1 with a sample standard deviation of 0.8. 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 the claim that u, the mean pH of the new oranges, is 5. (a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test. Ho: 0 H: 0 O

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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 5. To test the claim, an independent
researcher chose a random sample of 22 of the new oranges, finding they had a sample mean pH of 5.1 with a sample standard deviation of 0.8. 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 the claim that u, the mean
pH of the new oranges, is 5.
(a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test.
Ho: 0
H;: 0
O<O
OSO
O=0
(b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test.
• to og 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=
Student's t Distribution
0.4-
Save For Later
Submit As
Check
2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy
Transcribed Image Text: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 22 of the new oranges, finding they had a sample mean pH of 5.1 with a sample standard deviation of 0.8. 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 the claim that u, the mean pH of the new oranges, is 5. (a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test. Ho: 0 H;: 0 O<O OSO O=0 (b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test. • to og 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= Student's t Distribution 0.4- Save For Later Submit As Check 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy
Student's t Distribution
0.4-
Step 1: Enter the number of degrees
of freedom.
0.3-
Step 2: Select one-tailed or two-tailed.
O One-tailed
O Two-tailed
0.2-
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 0.10 level of significance, about the claim made by the orange grower.
O Since the value of the test statistic lies in the reiection region the null hynothecis is rejectad So thero is
Check
Save For Later
Sub
O2021 McGraw-Hill Education. All Rights Reserved. Terms of Use
Pr
Transcribed Image Text:Student's t Distribution 0.4- Step 1: Enter the number of degrees of freedom. 0.3- Step 2: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.2- 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 0.10 level of significance, about the claim made by the orange grower. O Since the value of the test statistic lies in the reiection region the null hynothecis is rejectad So thero is Check Save For Later Sub O2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Pr
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