Improving the productivity of chickens. Refer to the

Chapter 7, Problem 130SE

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QUESTION:

Improving the productivity of chickens. Refer to the Applied Animal Behaviour Science (Oct. 2000) study of the color of string preferred by pecking domestic chickens, Exercise 6.122 (p. 344). Recall that n = 72 chickens were exposed to blue string and the number of pecks each chicken took at the string over a specified time interval had a mean of \(\bar{x}=1.13\) pecks and a standard deviation of s = 2.21 pecks. Also recall that previous research had shown that \(\mu=7.5\) pecks if chickens are exposed to white string.

a. Conduct a test (at \(\alpha\) = .01) to determine if the true mean number of pecks at blue string is less than \(\mu=7.5\) pecks.

b. In Exercise 6.122, you used a 99% confidence interval as evidence that chickens are more apt to peck at white string than blue string. Do the test results, part a, support this conclusion? Explain.

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QUESTION:

Improving the productivity of chickens. Refer to the Applied Animal Behaviour Science (Oct. 2000) study of the color of string preferred by pecking domestic chickens, Exercise 6.122 (p. 344). Recall that n = 72 chickens were exposed to blue string and the number of pecks each chicken took at the string over a specified time interval had a mean of \(\bar{x}=1.13\) pecks and a standard deviation of s = 2.21 pecks. Also recall that previous research had shown that \(\mu=7.5\) pecks if chickens are exposed to white string.

a. Conduct a test (at \(\alpha\) = .01) to determine if the true mean number of pecks at blue string is less than \(\mu=7.5\) pecks.

b. In Exercise 6.122, you used a 99% confidence interval as evidence that chickens are more apt to peck at white string than blue string. Do the test results, part a, support this conclusion? Explain.

ANSWER:

Step 1 of  3

Here n= 72 chickens were exposed to blue string and the number of pecks each chicken took at the string over a specified time interval had a mean of =1.13 pecks and a standard deviation of s=2.21 pecks.

The previous research had shown that pecks if chickens are exposed to white string.

(a) We have to conduct a test (at ) to determine if the true mean number of pecks at blue string is less than 7.5 pecks.

(b) We have to find whether the test result in part (a) supports the conclusion that chickens are more apt to peck at white strings than blue strings.

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