Fresh Donuts! A donut company says that their donuts remain fresh for over 3 days on average. We tested a random sample of donuts for how lang they remained fresh. The data are below. Ássume donut freshness is normally distributed. days 3.7 3.2 2.8 3.2 2.6 3 2.5 3.4 2.7 3.2 3.5 3.2 2.9 3.2 3.9 3.6 Evaluate the company's claim using a hypothesis test. (a) Write the hypothesis for the test. O H: H = 3 H3: p= 3 OH;: p = 3 H3: p< 3 OH;: p = 3 H3: p > 3 O H: u = 3.163 H3: u = 3.163 OHo: H = 3.163 H3: p < 3.163 O H: u = 3.163 Hạ: p > 3.163 (b) What is the p-value for this test? (round to 4 decimal places) (C) Based on the sample data, we should conclude that O There is sufficient evidence at the a = 0.05 level to say that the average donut stays fresh for more than 3 days. O There is not sufficient evidence at the a = 0.05 level to say that the average donut stays fresh for more than 3 days.
Fresh Donuts! A donut company says that their donuts remain fresh for over 3 days on average. We tested a random sample of donuts for how lang they remained fresh. The data are below. Ássume donut freshness is normally distributed. days 3.7 3.2 2.8 3.2 2.6 3 2.5 3.4 2.7 3.2 3.5 3.2 2.9 3.2 3.9 3.6 Evaluate the company's claim using a hypothesis test. (a) Write the hypothesis for the test. O H: H = 3 H3: p= 3 OH;: p = 3 H3: p< 3 OH;: p = 3 H3: p > 3 O H: u = 3.163 H3: u = 3.163 OHo: H = 3.163 H3: p < 3.163 O H: u = 3.163 Hạ: p > 3.163 (b) What is the p-value for this test? (round to 4 decimal places) (C) Based on the sample data, we should conclude that O There is sufficient evidence at the a = 0.05 level to say that the average donut stays fresh for more than 3 days. O There is not sufficient evidence at the a = 0.05 level to say that the average donut stays fresh for more than 3 days.
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
Question

Transcribed Image Text:Question 9
>
Fresh Donuts! A donut company says that their donuts remain fresh for over 3 days on average. We tested a
random sample of donuts for how long they remained fresh. The data are below. Assume donut freshness is
normally distributed.
days
3.7
3.2
2.8
3.2
2.6
3
2.5
3.4
2.7
3.2
3.5
3.2
2.9
3.2
3.9
3.6
Evaluate the company's claim using a hypothesis test.
(a) Write the hypothesis for the test.
O H,: H = 3
H3: p = 3
OH:: p = 3
H3: p < 3
O H:: H = 3
Hi p > 3
O H;: p = 3.163
Hạ: p= 3.163
O Ho: p = 3.163
H3: p < 3.163
O Ho: p = 3.163
Hạ: p > 3.163
(b) What is the p-value for this test? (round to 4 decimal places)
(c) Based on the sample data, we should conclude that
O There is sufficient evidence at the a = 0.05 level to say that the average donut stays fresh for more
than 3 days.
O There is not sufficient evidence at the a = 0.05 level to say that the average donut stays fresh for
more than 3 days.
Question Help: Message instructor D Post to forum
Submit Question
Jump to Answer
Expert Solution

Step 1
From the provided information,
Sample size (n) = 16
Level of significance (α) = 0.05
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images

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