K 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. OA. Yes: the sample size must be over 30 for the sample means to be normally distributed. OB. No; as long as more than 30 samples are collected, the sample means will be normally distributed. OC. No: the samples are collected randomly, so the sample means will be normally distributed for any sample size. OD. No: the original population is normally distributed, so the sample means will be normally distributed for any sample size.

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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K
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.
OA. Yes; the sample size must be over 30 for the sample means to be normally distributed.
OB. No; as long as more than 30 samples are collected, the sample means will be normally distributed.
OC. No; the samples are collected randomly, so the sample means will be normally distributed for any sample size.
OD. No; the original population is normally distributed, so the sample means will be normally distributed for any sample size.
Transcribed Image Text:K 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. OA. Yes; the sample size must be over 30 for the sample means to be normally distributed. OB. No; as long as more than 30 samples are collected, the sample means will be normally distributed. OC. No; the samples are collected randomly, so the sample means will be normally distributed for any sample size. OD. No; the original population is normally distributed, so the sample means will be normally distributed for any sample size.
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