e to construct a 90% confidence Interval to estimate the population mean annual income for people over age 40 in your state. You choose a dom sample of such Incomes and compute the mean of the sample as 40,416.5 dollars with a standard deviation of 7545.0 dollars. wo What is the best point estimate, based on the sample, to use for the population mean? ? I dollars (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 tdistribution.) Could use Sampling scenario Unclear either Z or t The sample has size 95, and it is from a non-normally distributed population. The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. The sample has size 15, and it is from a normally distributed population with a known standard deviation of 7863. Explanation Check

e to construct a 90% confidence Interval to estimate the population mean annual income for people over age 40 in your state. You choose a dom sample of such Incomes and compute the mean of the sample as 40,416.5 dollars with a standard deviation of 7545.0 dollars. wo What is the best point estimate, based on the sample, to use for the population mean? ? I dollars (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 tdistribution.) Could use Sampling scenario Unclear either Z or t The sample has size 95, and it is from a non-normally distributed population. The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. The sample has size 15, and it is from a normally distributed population with a known standard deviation of 7863. Explanation Check

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Author:Amos Gilat

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING
Selecting appropriate distributions for constructing confidence.
OOOD O
e to construct a 90% confidence Interval to estimate the population mean annual income for people over age 40 in your state. You choose a
Raul v
wo V
dom sample of such Incomes and compute the mean of the sample as 40,416.5 dollars with a standard deviation of 7545.0 dollars.
) What is the best point estimate, based on the sample, to use for the population mean?
?
I dollars
(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 t
The sample has size 95, and it is from a non-normally distributed
population.
O.
The sample has size 14, and it is from a normally distributed population
with an unknown standard devlation.
The sample has size 15, and it is from a normally distributed population
with a known standard deviation of 7863.
Explanation
Check
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Use z-scores to make the following comparison. A high school student took two college entrance exams, scoring 1110 on the SAT and 27 on the ACT. Suppose that SAT scores have a mean of 950 and a standard deviation of 130 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.
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