Problem 1
A population has a mean of 50 and a standard deviation of \(6 .\) (a) What are the mean and standard deviation of the sampling distribution of the mean for \(\mathrm{N}=\) \(16 ?\) (b) What are the mean and standard deviation of the sampling distribution of the mean for \(\mathrm{N}=20 ?\)
Problem 7
If numerous samples of \(\mathrm{N}=15\) are taken from a uniform distribution and a relative frequency distribution of the means is drawn, what would be the shape of the frequency distribution?
Problem 10
If you sample one number from a standard normal distribution, what is the probability it will be \(0.5 ?\)
Problem 11
A variable is normally distributed with a mean of 120 and a standard deviation of 5 . Four scores are randomly sampled. What is the probability that the mean of the four scores is above \(127 ?\)
Problem 18
True/false: The sampling distribution of \(\mathrm{r}=.8\) becomes normal as \(\mathrm{N}\) increases.
Problem 20
True/false: In your school, \(40 \%\) of students watch TV at night. You randomly ask 5 students every day if they watch TV at night. Every day, you would find that 2 of the 5 do watch TV at night.