A herd of 1,500 cattle was fed a special high-protein grain for a month. A random sample of 25 cattle was weighed. The cattle gained an average of 7.5 pounds. If the standard deviation of weight gain per cow for the entire herd is 5.1 pounds, test the hypothesis that the average weight gain per cow for the month was less than 10 pounds.null hypothesis: H0: μ = 10alternative hypothesis: Ha: μ < 10We would like to be able to reject the null hypothesis if the true mean weight gain is less than 10 pounds at ? = 0.05. (a)Identify the rejection region.At ? = 0.05, an lower-tailed test would reject H0 if z ≤ −2.576.At ? = 0.05, an lower-tailed test would reject H0 if z ≤ −2.33. At ? = 0.05, an lower-tailed test would reject H0 if z ≤ −1.645.At ? = 0.05, an lower-tailed test would reject H0 if z ≤ −1.96.(b)Determine the value of x that will lead to rejecting H0. (Round your answer to three decimal places.)x = (c)Determine the power of the test to reject the null hypothesis if μ = 8. (Round your answer to three decimal places.) A herd of 1,500 cattle was fed a special high-protein grain for a month. A random sample of 25 cattle was weighed. The cattle gained an average of 7.5 pounds. If the standard deviation of weight gain per cow for the entire herd is 5.1 pounds, test the hypothesis thatthe average weight gain per cow for the month was less than 10 pounds.null hypothesis: Ho: u = 10alternative hypothesis: H,: µ < 10We would like to be able to reject the null hypothesis if the true mean weight gain is less than 10 pounds at a = 0.05.n USE SALT(a) Identify the rejection region.O At a = 0.05, an lower-tailed test would reject H, if z < -2.576.At a = 0.05, an lower-tailed test would reject H, if z< -2.33.At a = 0.05, an lower-tailed test would reject H, if z< -1.645.At a = 0.05, an lower-tailed test would reject H, if z < -1.96.(b) Determine the value of x that will lead to rejecting Ho: (Round your answer to three decimal places.)x =(c) Determine the power of the test to reject the null hypothesis if u = 8. (Round your answer to three decimal places.)

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Answered: (a) Identify the rejection region. At ?…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A herd of 1,500 cattle was fed a special high-protein grain for a month. A random sample of 25 cattle was weighed. The cattle gained an average of 7.5 pounds. If the standard deviation of weight gain per cow for the entire herd is 5.1 pounds, test the hypothesis that the average weight gain per cow for the month was less than 10 pounds.

null hypothesis:
H₀: μ = 10
alternative hypothesis:
H_a: μ < 10

We would like to be able to reject the null hypothesis if the true mean weight gain is less than 10 pounds at

? = 0.05.

(a)

Identify the rejection region.

At ? = 0.05, an lower-tailed test would reject H₀ if z ≤ −2.576.At ? = 0.05, an lower-tailed test would reject H₀ if z ≤ −2.33. At ? = 0.05, an lower-tailed test would reject H₀ if z ≤ −1.645.At ? = 0.05, an lower-tailed test would reject H₀ if z ≤ −1.96.

(b)

Determine the value of

that will lead to rejecting

H₀.

(Round your answer to three decimal places.)

x =

(c)

Determine the power of the test to reject the null hypothesis if

μ = 8.

(Round your answer to three decimal places.)

A herd of 1,500 cattle was fed a special high-protein grain for a month. A random sample of 25 cattle was weighed. The cattle gained an average of 7.5 pounds. If the standard deviation of weight gain per cow for the entire herd is 5.1 pounds, test the hypothesis that
the average weight gain per cow for the month was less than 10 pounds.
null hypothesis: Ho: u = 10
alternative hypothesis: H,: µ < 10
We would like to be able to reject the null hypothesis if the true mean weight gain is less than 10 pounds at a = 0.05.
n USE SALT
(a) Identify the rejection region.
O At a = 0.05, an lower-tailed test would reject H, if z < -2.576.
At a = 0.05, an lower-tailed test would reject H, if z< -2.33.
At a = 0.05, an lower-tailed test would reject H, if z< -1.645.
At a = 0.05, an lower-tailed test would reject H, if z < -1.96.
(b) Determine the value of x that will lead to rejecting Ho: (Round your answer to three decimal places.)
x =
(c) Determine the power of the test to reject the null hypothesis if u = 8. (Round your answer to three decimal places.)

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