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A random variable is normally distributed. It has a mean of 283 and a standard deviation of 21. If you take a sample of size 14, can you say what the shape of the sampling distribution for the sample mean is? Why? Ox O If the sample size is 14, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30. O If the sample size is 14, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. O If the sample size is 14, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30. For a sample of size 14, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx = = For a sample of size 14, find the probability that the sample mean is more than 280. P(x > 280) = If you take a sample of size 37, can you say what the shape of the distribution of the sample mean is? Why? O If the sample size is 37, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is greater than 30. O If the sample size is 37, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. If the sample size is 37, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is greater than 30. For a sample of size 37, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx = For a sample of size 37, find the probability that the sample mean is more than 280.P(x > 280) =

A random variable is normally distributed. It has a mean of 283 and a standard deviation of 21. If you take a sample of size 14, can you say what the shape of the sampling distribution for the sample mean is? Why? Ox O If the sample size is 14, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30. O If the sample size is 14, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. O If the sample size is 14, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30. For a sample of size 14, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx = = For a sample of size 14, find the probability that the sample mean is more than 280. P(x > 280) = If you take a sample of size 37, can you say what the shape of the distribution of the sample mean is? Why? O If the sample size is 37, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is greater than 30. O If the sample size is 37, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. If the sample size is 37, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is greater than 30. For a sample of size 37, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx = For a sample of size 37, find the probability that the sample mean is more than 280.P(x > 280) =

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 22PFA
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A random variable is normally distributed. It has a mean of 283 and a standard deviation of 21. If you take a sample of size 14, can you say what the shape of the sampling distribution for the sample mean is? Why? If the sample size is 14, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30. O If the sample size is 14, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. If the sample size is 14, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30. For a sample of size 14, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx= 0x = For a sample of size 14, find the probability that the sample mean is more than 280. P(x > 280) = If you take a sample of size 37, can you say what the shape of the distribution of the sample mean is? Why? O If the sample size is 37, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is greater than 30. If the sample size is 37, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. If the sample size is 37, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is greater than 30. For a sample of size 37, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx = Ox = For a sample of size 37, find the probability that the sample mean is more than 280.P(x > 280) =
Transcribed Image Text:A random variable is normally distributed. It has a mean of 283 and a standard deviation of 21. If you take a sample of size 14, can you say what the shape of the sampling distribution for the sample mean is? Why? If the sample size is 14, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30. O If the sample size is 14, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. If the sample size is 14, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30. For a sample of size 14, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx= 0x = For a sample of size 14, find the probability that the sample mean is more than 280. P(x > 280) = If you take a sample of size 37, can you say what the shape of the distribution of the sample mean is? Why? O If the sample size is 37, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is greater than 30. If the sample size is 37, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. If the sample size is 37, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is greater than 30. For a sample of size 37, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx = Ox = For a sample of size 37, find the probability that the sample mean is more than 280.P(x > 280) =
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A random variable is normally distributed. It has a mean of 283 and a standard deviation of 21. If you take a sample of size 14, can you say what the shape of the sampling distribution for the sample mean is? Why? Or O If the sample size is 14, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30. If the sample size is 14, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. O If the sample size is 14, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30. For a sample of size 14, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx = 283 0x = 5.61 OF For a sample of size 14, find the probability that the sample mean is more than 280. P(X> 280) =! Enter an integer or decimal number [more..] If you take a sample of size 37, can you say what the shape of the distribution of the sample mean is? Why? O If the sample size is 37, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is greater than 30. If the sample size is 37, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. If the sample size is 37, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is greater than 30. For a sample of size 37, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx= 0x = For a sample of size 37, find the probability that the sample mean is more than 280.P(x > 280) =
Transcribed Image Text:A random variable is normally distributed. It has a mean of 283 and a standard deviation of 21. If you take a sample of size 14, can you say what the shape of the sampling distribution for the sample mean is? Why? Or O If the sample size is 14, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30. If the sample size is 14, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. O If the sample size is 14, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30. For a sample of size 14, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx = 283 0x = 5.61 OF For a sample of size 14, find the probability that the sample mean is more than 280. P(X> 280) =! Enter an integer or decimal number [more..] If you take a sample of size 37, can you say what the shape of the distribution of the sample mean is? Why? O If the sample size is 37, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is greater than 30. If the sample size is 37, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. If the sample size is 37, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is greater than 30. For a sample of size 37, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx= 0x = For a sample of size 37, find the probability that the sample mean is more than 280.P(x > 280) =
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