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sweet-ann [11.9K]
3 years ago
5

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol ​(mu​, ​p, sigma​) for the i

ndicated parameter. The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean​ temperature, mu​, of 48degrees​F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator​ manufacturer, and claims he can prove that the true mean temperature is incorrect. A. Upper H 0​: munot equals48degreesF Upper H 1​: muequals48degreesF B. Upper H 0​: mugreater than or equals48degreesF Upper H 1​: muless than48degreesF C. Upper H 0​: muless than or equals48degreesF Upper H 1​: mugreater than48degreesF D. Upper H 0​: muequals48degreesF Upper H 1​: munot equals48degreesF
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
3 0

Answer:

H_o:\mu = 48\\H_a:\mu\neq48

Step-by-step explanation:

Given : . The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean​ temperature, 48°​F, ideal for a certain type of German pilsner.

To Find :  The owner of the brewery does not agree with the refrigerator​ manufacturer, and claims he can prove that the true mean temperature is incorrect.

Solution:

We are given that refrigerators that are supposed to maintain a true mean​ temperature, 48°​F.

Claim : The true mean temperature is incorrect.

So, null hypothesis and alternate hypothesis will be :

H_o:\mu = 48\\H_a:\mu\neq48

So, Option D is true .

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Step-by-step explanation:

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[\frac{\pi}{2},\frac{3\pi}{2}]

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Let cos^2(x)=1-sin^2(x)

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f'(x)=-14sin(x)cos(x)-14cos(x)

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f'(\pi)=+ so the function is increasing here.

For the last interval I chose:

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[\frac{\pi}{2},\frac{3\pi}{2}]

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