i) ii) iii) Find a. Find ß if there is actually an average of 49 chocolate chips per cookie. What is a if the sample size is 30 cookies (instead of 20)?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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3) Type I and Type II Error Dependencies
a) A baker believes there is an average of 50 chocolate chips in
each of her double-choco-chunk cookies. To test her
hypothesis, she randomly selects 20 cookies and counts
48
50
52
the number of chocolate chips in each (known to be normally
distributed with a = 6 chips). The critical regions are defined in the image to the right.
Find a.
i)
ii)
iii)
Find ß if there is actually an average of 49 chocolate chips per cookie.
What is a if the sample size is 30 cookies (instead of 20)?
Ho : a = 50
H₁50
Transcribed Image Text:3) Type I and Type II Error Dependencies a) A baker believes there is an average of 50 chocolate chips in each of her double-choco-chunk cookies. To test her hypothesis, she randomly selects 20 cookies and counts 48 50 52 the number of chocolate chips in each (known to be normally distributed with a = 6 chips). The critical regions are defined in the image to the right. Find a. i) ii) iii) Find ß if there is actually an average of 49 chocolate chips per cookie. What is a if the sample size is 30 cookies (instead of 20)? Ho : a = 50 H₁50
iv)
What is ß if the non-rejection region is 49 < X < 51 (instead of 48 < X < 52) and the
average number of chocolate chips per cookie is 49? (Assume the sample size is 20.)
Transcribed Image Text:iv) What is ß if the non-rejection region is 49 < X < 51 (instead of 48 < X < 52) and the average number of chocolate chips per cookie is 49? (Assume the sample size is 20.)
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