Fresh Donuts! A donut company says that their donuts remain fresh for over 2 days on average. A donut watchdog organization samples 15 donuts and finds that on average they remain fresh 2.1 days with a standard deviation of 0.8 days. Evaluate the company's claim using a hypothesis test. Use a 5% level of significance. Assume that donut freshness follows a normal distribution. (a) Write the hypotheses for the test: O Ho: H = 2.1 H3: p< 2.1 OHg: µ = 2 Hạ: p > 2 OH;: H = 2.1 Hạ: p- 2.1 O H: µ = 2 Ha: p < 2 O Hoi H - 2 H3: p = 2 Она - 2.1 Ha: p > 2.1 (b) Compute the p-value for the test: | (round to three sig figs) (c) What is the final conclusion? O There is sufficient evidence to reject the company's claim. O There is not sufficient evidence to reject the company's claim. O There is not sufficient evidence to support the company's claim. O There is sufficient evidence to support the company's claim. Question Help: M Message instructor D Post to forum Submit All Parts Jump to Answer

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Fresh Donuts! A donut company says that their donuts remain fresh for over 2 days on average. A donut
watchdog organization samples 15 donuts and finds that on average they remain fresh 2.1 days with a
standard deviation of 0.8 days. Evaluate the company's claim using a hypothesis test. Use a 5% level of
significance. Assume that donut freshness follows a normal distribution.
(a) Write the hypotheses for the test:
O Ho: H = 2.1
Hại p < 2.1
OH,: µ = 2
Ha: p > 2
OH,: µ = 2.1
Hạ: p = 2.1
O H,: H = 2
Hạ: p< 2
O H,: µ = 2
Hạ: p = 2
OH;: H = 2.1
Ha: p > 2.1
(b) Compute the p-value for the test:
p =
|(round to three sig figs)
(c) What is the final conclusion?
O There is sufficient evidence to reject the company's claim.
O There is not sufficient evidence to reject the company's claim.
O There is not sufficient evidence to support the company's claim.
O There is sufficient evidence to support the company's claim.
Question Help: M Message instructor D Post to forum
Submit All Parts
Jump to Answer
Transcribed Image Text:Fresh Donuts! A donut company says that their donuts remain fresh for over 2 days on average. A donut watchdog organization samples 15 donuts and finds that on average they remain fresh 2.1 days with a standard deviation of 0.8 days. Evaluate the company's claim using a hypothesis test. Use a 5% level of significance. Assume that donut freshness follows a normal distribution. (a) Write the hypotheses for the test: O Ho: H = 2.1 Hại p < 2.1 OH,: µ = 2 Ha: p > 2 OH,: µ = 2.1 Hạ: p = 2.1 O H,: H = 2 Hạ: p< 2 O H,: µ = 2 Hạ: p = 2 OH;: H = 2.1 Ha: p > 2.1 (b) Compute the p-value for the test: p = |(round to three sig figs) (c) What is the final conclusion? O There is sufficient evidence to reject the company's claim. O There is not sufficient evidence to reject the company's claim. O There is not sufficient evidence to support the company's claim. O There is sufficient evidence to support the company's claim. Question Help: M Message instructor D Post to forum Submit All Parts Jump to Answer
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