Question

State whether each of the following is True or False.

a. A smaller sample could provide less sampling error than a larger sample from a given population.
b. The correct critical value a lower tail hypothesis test when sigma is unknown, the sample size = 15, and alpha = 0.05 is -1.645.
c. A larger sample size can reduce the potential for extreme sampling error.
d. It is impossible for the population mean to equal the mean of a sample taken from it.
e. The size of sampling error depends on which sample is selected.
f. Sampling error is always caused by a biased sample.
g. The size of Type I error is determined by the researcher.

please answer ASAP. THANKS!

Answer 1

a. A smaller sample could provide less sampling error than a larger sample from a given population.

False
b. The correct critical value a lower tail hypothesis test when sigma is unknown, the sample size = 15, and alpha = 0.05 is -1.645.

False
c. A larger sample size can reduce the potential for extreme sampling error.

True
d. It is impossible for the population mean to equal the mean of a sample taken from it.

False
e. The size of sampling error depends on which sample is selected.

True
f. Sampling error is always caused by a biased sample.

False
g. The size of Type I error is determined by the researcher.

True

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