A random variable is normally distributed with μ = 200 and σ = 60. Determine the mean and the standard error of the sampling distribution of the mean for simple random samples with the following sample sizes:
statistics
Description
1. (5 points) A random variable is normally
distributed with μ = 200 and σ = 60.
Determine the mean and the standard error of the sampling distribution
of the mean for simple random samples with the following sample sizes:
a. n = 25
b. n = 100
c. n = 144
2. (5 points) Why is the central limit theorem so
important to statisticians?
3. (5 points) What is the difference between a
point estimate and an interval estimate?
4. (5 points) If the actual population mean μ =
15 and the interval estimate is between 12 and 18, does the interval estimate
include the actual population parameter?
Circle the correct answer below.
YES NO NOT ENOUGH INFO
5. (5 points) If the actual population mean μ =
15 and the interval estimate is between 19 and 23, does the interval estimate
include the actual population parameter?
Circle the correct answer below.
YES NO NOT ENOUGH INFO
6. (5 points) If the actual population mean µ =
15 and the sample mean
YES NO NOT ENOUGH INFO
7. (5 points) If the actual population mean µ =
15 and the sample mean
YES NO NOT ENOUGH INFO
8. (5 points) Set up the null and alternate hypotheses to test whether the
population mean is equal to 10 when you have a sample mean.
H0: Ha:
9. (5 points) The 95% confidence interval of the population mean based on
the sample data is (7, 11.5). Would we
reject or fail to reject the null hypothesis of problem #8 at the 95%
level? Circle the correct answer below.
REJECT FAIL
TO REJECT NOT ENOUGH
INFO
10. (5 points) The 99% confidence interval of the population mean based on
the sample data is (5.5, 13). Would we
reject or fail to reject the null hypothesis of problem #8 at the 99%
level? Circle the correct answer below.
REJECT FAIL
TO REJECT NOT ENOUGH
INFO
