4.- Researchers at the Terry College of Business at the University of Georgia sampled 344 business students and asked them this question: "Over the course of your lifetime, what is the maximum number of years you expect to work for any one employer?" The sample resulted in x = 18.5 years. Assume that the sample of 344 students was randomly selected from the 5,000 undergraduate students at the Terry College and that μ-18 years and a = 5.6 years. a). Describe the sampling distribution of x. (Indicate the probability distribution, the mean and the standard error). Answer: b). Find P(x > 18.5). Answer: c). Find P(x > 18.5). Answer: d). Suppose u is unknown, and but you know that P(x> 20.1) = 0.50. What is the value of u? Answer:

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4.- Researchers at the Terry College of Business at the University of Georgia sampled 344 business
students and asked them this question: "Over the course of your lifetime, what is the maximum number
of years you expect to work for any one employer?" The sample resulted in x = 18.5 years. Assume that
the sample of 344 students was randomly selected from the 5,000 undergraduate students at the Terry
College and that μ-18 years and a = 5.6 years.
a). Describe the sampling distribution of x. (Indicate the probability distribution, the mean and the standard error).
Answer:
b). Find P(x > 18.5).
Answer:
c). Find P(x > 18.5).
Answer:
d). Suppose μ is unknown, and but you know that P(x > 20.1) = 0.50. What is the value of μ?
Answer:
e). Why do you think the probabilities at b) and c) are approximations? (Please circle one option only)
Because the population may not be normal
(i)
(ii)
Because the Central Limit Theorem
(iv)
(v)
Because the standard deviation is known
Because μ is known (μ = 18).
Because (i) and (ii) only
f). Do you think it is necessary to do an adjustment for the standard error of the sample x?
Answer:
because
YES
NO
Transcribed Image Text:4.- Researchers at the Terry College of Business at the University of Georgia sampled 344 business students and asked them this question: "Over the course of your lifetime, what is the maximum number of years you expect to work for any one employer?" The sample resulted in x = 18.5 years. Assume that the sample of 344 students was randomly selected from the 5,000 undergraduate students at the Terry College and that μ-18 years and a = 5.6 years. a). Describe the sampling distribution of x. (Indicate the probability distribution, the mean and the standard error). Answer: b). Find P(x > 18.5). Answer: c). Find P(x > 18.5). Answer: d). Suppose μ is unknown, and but you know that P(x > 20.1) = 0.50. What is the value of μ? Answer: e). Why do you think the probabilities at b) and c) are approximations? (Please circle one option only) Because the population may not be normal (i) (ii) Because the Central Limit Theorem (iv) (v) Because the standard deviation is known Because μ is known (μ = 18). Because (i) and (ii) only f). Do you think it is necessary to do an adjustment for the standard error of the sample x? Answer: because YES NO
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