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A random variable X is normally distributed. It has a mean of 248 and a standard deviation of 27. List the givens with correct symbols: ? ✓ = 248 ? ✓ = 27 a) If you take a sample of size 12, what can you say about the shape of the sampling distribution of the sample means? ✓ Select an answer It will be approximately normal We can't say it will be approximately normal population is not normal On is less than 30 population is normal On is at least 30 b) For a sample of size 12, state the mean and the standard deviation of the sampling distribution of the sample mean. fl= 2 decimal places c) What is the probability of taking a SRS of 12 and getting a sample mean greater than 257? P(Z > 257) 2 decimal places σ=

A random variable X is normally distributed. It has a mean of 248 and a standard deviation of 27. List the givens with correct symbols: ? ✓ = 248 ? ✓ = 27 a) If you take a sample of size 12, what can you say about the shape of the sampling distribution of the sample means? ✓ Select an answer It will be approximately normal We can't say it will be approximately normal population is not normal On is less than 30 population is normal On is at least 30 b) For a sample of size 12, state the mean and the standard deviation of the sampling distribution of the sample mean. fl= 2 decimal places c) What is the probability of taking a SRS of 12 and getting a sample mean greater than 257? P(Z > 257) 2 decimal places σ=

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 X is normally distributed. It has a mean of 248 and a standard deviation of 27. List the givens with correct symbols: ? ✓ = 248 ? ✓ = 27 a) If you take a sample of size 12, what can you say about the shape of the sampling distribution of the sample means? ✓ Select an answer It will be approximately normal We can't say it will be approximately normal population is not normal On is less than 30 population is normal On is at least 30 b) For a sample of size 12, state the mean and the standard deviation of the sampling distribution of the sample mean. fl= 2 decimal places c) What is the probability of taking a SRS of 12 and getting a sample mean greater than 257? P(Z > 257) 2 decimal places σ=
Transcribed Image Text:A random variable X is normally distributed. It has a mean of 248 and a standard deviation of 27. List the givens with correct symbols: ? ✓ = 248 ? ✓ = 27 a) If you take a sample of size 12, what can you say about the shape of the sampling distribution of the sample means? ✓ Select an answer It will be approximately normal We can't say it will be approximately normal population is not normal On is less than 30 population is normal On is at least 30 b) For a sample of size 12, state the mean and the standard deviation of the sampling distribution of the sample mean. fl= 2 decimal places c) What is the probability of taking a SRS of 12 and getting a sample mean greater than 257? P(Z > 257) 2 decimal places σ=
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