(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 at distribution.) Could use Sampling scenario Unclear either Z or t The sample has size 11, and it is from a population with a distribution about which we know very little. The sample has size 19, and it is from a normally distributed O O population with an unknown standard deviation. 85 and it is from a non-normally distributed

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(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
Z t
Unclear
either Z or t
The sample has size 11, and it is from a population with a
distribution about which we know very little.
The sample has size 19, and it is from a normally distributed
population with an unknown standard deviation.
The sample has size 85, and it is from a non-normally distributed
population with a known standard deviation of 75.
Transcribed Image Text:(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 Z t Unclear either Z or t The sample has size 11, and it is from a population with a distribution about which we know very little. The sample has size 19, and it is from a normally distributed population with an unknown standard deviation. The sample has size 85, and it is from a non-normally distributed population with a known standard deviation of 75.
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 485 and a standard deviation of 80.
(a) What is the best point estimate, based on the sample, to use for the population mean?
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 485 and a standard deviation of 80. (a) What is the best point estimate, based on the sample, to use for the population mean?
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