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(c) Assuming the normal model can be used, determine P(x 2 64.9).

(c) Assuming the normal model can be used, determine P(x 2 64.9).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 34CR
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Suppose a simple random sample of size n = 12 is obtained from a population with μ = 63 and σ = 16. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x <66.7). (c) Assuming the normal model can be used, determine P(x264.9). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). OB. The population must be normally distributed and the sample size must be large. OC. There are no requirements on the shape of the distribution of the population. OD. Since the sample size is large enough, the population distribution does not need to be normal. Assuming the normal model can be used, describe the sampling distribution x. OA. Normal, with u Normal, with μ = 63 and o=16 B. Normal, with H = 63 and o c. Normal, with μ = 63 and o= 12 √16 16 √12 (b) P(x<66.7) = 0.7885 (Round to four decimal places as needed.) (c) P(x264.9) = 0 (Round to four decimal places as needed.)
Transcribed Image Text:Suppose a simple random sample of size n = 12 is obtained from a population with μ = 63 and σ = 16. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x <66.7). (c) Assuming the normal model can be used, determine P(x264.9). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). OB. The population must be normally distributed and the sample size must be large. OC. There are no requirements on the shape of the distribution of the population. OD. Since the sample size is large enough, the population distribution does not need to be normal. Assuming the normal model can be used, describe the sampling distribution x. OA. Normal, with u Normal, with μ = 63 and o=16 B. Normal, with H = 63 and o c. Normal, with μ = 63 and o= 12 √16 16 √12 (b) P(x<66.7) = 0.7885 (Round to four decimal places as needed.) (c) P(x264.9) = 0 (Round to four decimal places as needed.)
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