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Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever dogs, each of size n = 15, are randomly collected and the sample means are found. Is it correct to conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too small? Explain. Choose the correct answer below. O A. Yes; the sample size must be over 30 for the sample means to be normally distributed. O B. No; as long as more than 30 samples are collected, the sample means will be normally distributed. OC. No; the original population is normally distributed, so the sample means will be normally distributed for any sample size. O D. No; the samples are collected randomly, so the sample means will be normally distributed for any sample size.

Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever dogs, each of size n = 15, are randomly collected and the sample means are found. Is it correct to conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too small? Explain. Choose the correct answer below. O A. Yes; the sample size must be over 30 for the sample means to be normally distributed. O B. No; as long as more than 30 samples are collected, the sample means will be normally distributed. OC. No; the original population is normally distributed, so the sample means will be normally distributed for any sample size. O D. No; the samples are collected randomly, so the sample means will be normally distributed for any sample size.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever dogs, each of size n = 15, are randomly collected and the sample means are found. Is it correct to conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too small? Explain. Choose the correct answer below. O A. Yes; the sample size must be over 30 for the sample means to be normally distributed. O B. No; as long as more than 30 samples are collected, the sample means will be normally distributed. OC. No; the original population is normally distributed, so the sample means will be normally distributed for any sample size. O D. No; the samples are collected randomly, so the sample means will be normally distributed for any sample size.
Transcribed Image Text:Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever dogs, each of size n = 15, are randomly collected and the sample means are found. Is it correct to conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too small? Explain. Choose the correct answer below. O A. Yes; the sample size must be over 30 for the sample means to be normally distributed. O B. No; as long as more than 30 samples are collected, the sample means will be normally distributed. OC. No; the original population is normally distributed, so the sample means will be normally distributed for any sample size. O D. No; the samples are collected randomly, so the sample means will be normally distributed for any sample size.
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