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=
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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