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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
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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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
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

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