In simple linear regression, most often we perform a two-tail test of the population slope 1 to determine whether there is sufficient evidence to infer that a linear relationship exists. The null hypothesis is stated as:
a. H0: 1 = 0
b. H0: 1 = b1
c. H0: 1 0
d. None of these choices.
Q. 2The expected value of the sampling distribution of the sample mean equals the population mean :
a. only when the population is normally distributed.
b. only when the sample size is large.
c. only when the population is infinite.
d. for all populations.
Q. 3A store manager gives a pre-employment examination to new employees. The test is scored from 1 to 100 . He has data on their sales at the end of one year measured in dollars. He wants to know if there is any linear relationship between pre-employment examination score and sales. An appropriate test to use is the t-test of the population correlation coefficient.
Indicate whether the statement is true or false
Q. 4A sample of size n is selected at random from an infinite population. As n increases, which of the following statements is true?
a. The population standard deviation decreases.
b. The standard error of the sample mean decreases.
c. The population standard deviation increases.
d. The standard error of the sample mean increases.
Q. 5A zero population correlation coefficient for x and y means that there is no type of relationship whatsoever between x and y.
Indicate whether the statement is true or false
Q. 6A sample of size 25 is selected at random from a finite population. If the finite population correction factor is 0.63, then the population size is:
a. 25 c. 41
b. 66 d. None of these choices.
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