Question

Probability and Statistics

Could you please solve the following questions with specifying the answers

A. What is the probability that z, the standard normal distribution, is less than 1.75 standard deviations below the mean of zero?

a. 5%      b. 4%      c. 6%      d. 7.4%

B. If two random samples of the heights of adult males in New York are taken, one of 400, the other of 900 people, which one would likely have the larger range from shortest to tallest?

a. the 400 person sample      b. the 900 person sample    c. they’d be equal

C. The p-value of a test of the null hypothesis is 3.5%. This means

a. the hypothesis is true with probability 3.5% or possibly less than 3.5%

b. the alternative hypothesis is true with probability 3.5% or possibly less

c. 3.5% is the probability of finding the observed or more extreme results when the null hypothesis (H ₀) is true

d. None of the above

D. One of the main reasons to be interested in the regression line of y on x is that

a. one can use it to predict y-values from different x-values

b. one can determine the standard deviation of y     

c. one can determine from it the values of the quartiles of x and y.

Answer 1