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A simple random sample of size n= 65 is obtained from a population with u = 57 and o = 5. (a) Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? (b) What is the sampling distribution of x? (a) Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? (Choose the correct answer below.) O A. No because the Central Limit Theorem states that regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal as the sample size, n, increases. O B. No because the Central Limit Theorem states that only if the shape of the underlying population is normal or uniform does the sampling distribution of x become approximately normal as the sample size, n, increases. O C. Yes because the Central Limit Theorem states that only for underlying populations that are normal is the shape of the sampling distribution of x normal, regardless of the sample size, n. O D. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations will increase as the sample size increases. (b) What is the sampling distribution of x? (Choose the correct answer below.) O A. The sampling distribution of x is normal or approximately normal with H; = 57 and o; = 5. O B. The sampling distribution of x follows Student's t-distribution with u; = 57 and o: = 5. O C. The sampling distribution of x is normal or approximately normal with u; = 57 and o; =0.620. O D. The sampling distribution of x is uniform with p; = 57 and o; = 0.620. Click to select your answer.

A simple random sample of size n= 65 is obtained from a population with u = 57 and o = 5. (a) Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? (b) What is the sampling distribution of x? (a) Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? (Choose the correct answer below.) O A. No because the Central Limit Theorem states that regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal as the sample size, n, increases. O B. No because the Central Limit Theorem states that only if the shape of the underlying population is normal or uniform does the sampling distribution of x become approximately normal as the sample size, n, increases. O C. Yes because the Central Limit Theorem states that only for underlying populations that are normal is the shape of the sampling distribution of x normal, regardless of the sample size, n. O D. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations will increase as the sample size increases. (b) What is the sampling distribution of x? (Choose the correct answer below.) O A. The sampling distribution of x is normal or approximately normal with H; = 57 and o; = 5. O B. The sampling distribution of x follows Student's t-distribution with u; = 57 and o: = 5. O C. The sampling distribution of x is normal or approximately normal with u; = 57 and o; =0.620. O D. The sampling distribution of x is uniform with p; = 57 and o; = 0.620. Click to select your answer.

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 26E
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A simple random sample of size n= 65 is obtained from a population with u = 57 and o = 5. (a) Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? (b) What is the sampling distribution of x? (a) Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? (Choose the correct answer below.) O A. No because the Central Limit Theorem states that regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal as the sample size, n, increases. O B. No because the Central Limit Theorem states that only if the shape of the underlying population is normal or uniform does the sampling distribution of x become approximately normal as the sample size, n, increases. OC. Yes because the Central Limit Theorem states that only for underlying populations that are normal is the shape of the sampling distribution of x normal, regardless of the sample size, n. O D. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations will increase as the sample size increases. (b) What is the sampling distribution of x? (Choose the correct answer below.) O A. The sampling distribution of x is normal or approximately normal with H; = 57 and o; = 5. O B. The sampling distribution of x follows Student's t-distribution with u; = 57 and o: = 5. O C. The sampling distribution of x is normal or approximately normal with ; = 57 and o; = 0.620. O D. The sampling distribution of x is uniform with p; = 57 and o; = 0.620. Click to select your answer. prt sc delete 144 esc
Transcribed Image Text:A simple random sample of size n= 65 is obtained from a population with u = 57 and o = 5. (a) Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? (b) What is the sampling distribution of x? (a) Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? (Choose the correct answer below.) O A. No because the Central Limit Theorem states that regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal as the sample size, n, increases. O B. No because the Central Limit Theorem states that only if the shape of the underlying population is normal or uniform does the sampling distribution of x become approximately normal as the sample size, n, increases. OC. Yes because the Central Limit Theorem states that only for underlying populations that are normal is the shape of the sampling distribution of x normal, regardless of the sample size, n. O D. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations will increase as the sample size increases. (b) What is the sampling distribution of x? (Choose the correct answer below.) O A. The sampling distribution of x is normal or approximately normal with H; = 57 and o; = 5. O B. The sampling distribution of x follows Student's t-distribution with u; = 57 and o: = 5. O C. The sampling distribution of x is normal or approximately normal with ; = 57 and o; = 0.620. O D. The sampling distribution of x is uniform with p; = 57 and o; = 0.620. Click to select your answer. prt sc delete 144 esc
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