dolution

Suppose you have the following data set: 169.59, -31.70, 55.85, 8.84, 40.10 Find the sample mean and report to the nearest hundredths place.

Suppose W is a categorical variable made as a factor in R and suppose Z is a categorical variable made as a factor in R. What will plot(Z, W) produce?

Group of answer choices

Scatter plot with W on the vertical axis and Z on the horizontal axis.

Scatter plot with Z on the vertical axis and W on the horizontal axis.

Mosaic plot with W on horizontal axis and Z on vertical axis.

Mosaic plot with Z on horizontal axis and W on vertical axis.

Suppose you have a normal random variable with mean 10 and variance 25. You want to find the probability that X is less than 8 in R. Which command will find this answer?

Group of answer choices

pnorm(8, 10, 25)

1 – pnorm(8, 10, 25)

pnorm(8, 10, 5)

1 – pnorm(8, 10, 5)

The 95% “Rule of Thumb” says to go how many standard deviations around the mean to get approximately 95% of the normal distribution? Enter an integer value, no quotes.

Suppose you have the following data set:

6.8, 6.2, 1.2

Find the sample variance and report to the nearest hundredths place.

Suppose we have a value of X = 13.98 from a normal distribution with mean 11.43 and standard deviation 1.33. What is the Z value? Report to the nearest hundredths place.

Suppose a population is normal with mean of 110 and standard deviation of 7. What proportion of the population is less than 95? Enter to the nearest thousandths.

Consider this small data set:

(X1, Y1) = (3, 1)

(X2, Y2) = (1, 2)

(X3, Y3) = (8, 6)

Find the sample correlation. Enter answer to nearest thousandths.