(8 pts) True/False problem. Circle the answer. (Do not write T or F; just circle

Question

(8 pts) True/False problem. Circle the answer. (Do not write T or F; just circle.)

(T, F) In a regression study, if the correlation coefficient (r) is larger, we can say the two related variables have a stronger relationship between them.

(T, F) When we compare true mean values of three samples to know if they are the same, we cannot use a t-test, but we need to use an ANOVA analysis.

(T, F) Let the expected value of random variable X is 10, and the expected value of random variable Y is 20. Then the expected value of 5X+3Y is larger than 100.

(T, F) We call a significance level of a statistics test a confidence level.

Explanation / Answer

a. False.

correlation coefficient lies between -1 to +1. if the correlaiton is close to -1 or +1 we can say that the relationship is strong.

b. True. t-test used to test the difference of means between two samples . if more than two samples we use ANOVA.

c. Given E(X)=10; E(Y)= 20; E(5X+3Y)=5*10+3*20=110 which is greater than 100

So the statement is "True"

d. False

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