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Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 70 and standard deviation 5. Diane obtains 1000 random samples of size n = 3 from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size n = 40 from the population. Complete parts (a) through (c). CI (a) Describe the shape you expect for Diane's distribution of sample means. Describe the shape you expect for Jack's distribution of sample means. Choose the correct answer below A. Jack's distribution is expected to be skewed right, but less skewed than the original distribution. Diane's distribution is expected to be approximately normal. B Diane's distribution is expected to be skewed right, but less skewed than the original distribution. Jack's distribution is expected to be approximately normal. OC. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the smaller standard deviation of the sample mean. D. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the greater standard deviation of the sample mean. (b) What do you expect the mean of Diane's distribution to be? What do you expect the mean of Jack's distribution to be? Diane's distribution is expected to have a mean of Jack's distribution is expected to have a mean of (Type integers or decimals rounded to two decimal places as needed.) 4

Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 70 and standard deviation 5. Diane obtains 1000 random samples of size n = 3 from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size n = 40 from the population. Complete parts (a) through (c). CI (a) Describe the shape you expect for Diane's distribution of sample means. Describe the shape you expect for Jack's distribution of sample means. Choose the correct answer below A. Jack's distribution is expected to be skewed right, but less skewed than the original distribution. Diane's distribution is expected to be approximately normal. B Diane's distribution is expected to be skewed right, but less skewed than the original distribution. Jack's distribution is expected to be approximately normal. OC. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the smaller standard deviation of the sample mean. D. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the greater standard deviation of the sample mean. (b) What do you expect the mean of Diane's distribution to be? What do you expect the mean of Jack's distribution to be? Diane's distribution is expected to have a mean of Jack's distribution is expected to have a mean of (Type integers or decimals rounded to two decimal places as needed.) 4

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
Section13.3: Special Probability Density Functions
Problem 53E
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Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 70 and standard deviation 5. Diane obtains 1000 random samples of size n = 3 from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size n = 40 from the population. Complete parts (a) through (c) 8.1 (a) Describe the shape you expect for Diane's distribution of sample means. Describe the shape you expect for Jack's distribution of sample means. Choose the correct answer below A Jack's distribution is expected to be skewed right, but less skewed than the original distribution. Diane's distribution is expected to be approximately normal. B. Diane's distribution is expected to be skewed right, but less skewed than the original distribution. Jack's distribution is expected to be approximately normal C. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the smaller standard deviation of the sample mean D. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the greater standard deviation of the sample mean. (b) What do you expect the mean of Diane's distribution to be? What do you expect the mean of Jack's distribution to be? Diane's distribution is expected to have a mean of Jack's distribution is expected to have a mean of (Type integers or decimals rounded to two decimal places as needed.)
Transcribed Image Text:Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 70 and standard deviation 5. Diane obtains 1000 random samples of size n = 3 from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size n = 40 from the population. Complete parts (a) through (c) 8.1 (a) Describe the shape you expect for Diane's distribution of sample means. Describe the shape you expect for Jack's distribution of sample means. Choose the correct answer below A Jack's distribution is expected to be skewed right, but less skewed than the original distribution. Diane's distribution is expected to be approximately normal. B. Diane's distribution is expected to be skewed right, but less skewed than the original distribution. Jack's distribution is expected to be approximately normal C. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the smaller standard deviation of the sample mean D. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the greater standard deviation of the sample mean. (b) What do you expect the mean of Diane's distribution to be? What do you expect the mean of Jack's distribution to be? Diane's distribution is expected to have a mean of Jack's distribution is expected to have a mean of (Type integers or decimals rounded to two decimal places as needed.)
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