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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
Solve

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

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
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman