You would like to construct a 90% confidence interval to estimate the population mean score on a nationwide examination in psychology, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 513 and a standard deviation of 76. ? (a) What is the best point estimate, based on the sample, to use for the population mean? (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 90% confidence interval for the population mean. (In the table, z refers to a standard normal distribution, and i refers to a t distribution.) Could use Sampling scenario Unclear either Z or ! ? The sample has size 12, and it is from a population with a distribution about which we know very little. The sample has size 17, and it is from a normally distributed O O population with an unknown standard deviation. The sample has size 75, and it is from a non-normally distributed population with a known standard deviation of 77.

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You would like to construct a 90% confidence interval to estimate the
population mean score on a nationwide examination in psychology, and
for this purpose we choose a random sample of exam scores. The
sample we choose has a mean of 513 and a standard deviation of 76.
?
(a) What is the best point estimate, based on the sample,
to use for the population mean?
(b) For each of the following sampling scenarios, determine
which distribution should be used to calculate the critical
value for the 90% confidence interval for the population
mean.
(In the table, z refers to a standard normal distribution, and
t refers to a t distribution.)
Could use
Sampling scenario
Unclear
either Z or i
?
The sample has size 12, and it is
from a population with a distribution
about which we know very little.
The sample has size 17, and it is
from a normally distributed
population with an unknown
standard deviation.
The sample has size 75, and it is
from a non-normally distributed
population with a known standard
deviation of 77.
Transcribed Image Text:You would like to construct a 90% confidence interval to estimate the population mean score on a nationwide examination in psychology, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 513 and a standard deviation of 76. ? (a) What is the best point estimate, based on the sample, to use for the population mean? (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 90% confidence interval for the population mean. (In the table, z refers to a standard normal distribution, and t refers to a t distribution.) Could use Sampling scenario Unclear either Z or i ? The sample has size 12, and it is from a population with a distribution about which we know very little. The sample has size 17, and it is from a normally distributed population with an unknown standard deviation. The sample has size 75, and it is from a non-normally distributed population with a known standard deviation of 77.
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