You would like to construct a 99% confidence interval to estimate the population mean time it takes drivers to react following the application of brakes by the driver in front of them. You take a random sample of reaction time measurements and compute their mean to be 1.8 seconds and their standard deviation to be 0.4 seconds. (a) What is the best point estimate, based on the sample, to use for the population mean? I seconds (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 99% 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 Unclear Sampling scenario either Z or t The sample has size 19, and it is from a normally distributed population with a known standard deviation of 0.3. The sample has size 80, and it is from a non-normally distributed population. The sample has size 10, and it is from a normally distributed population with an unknown standard deviation.

MATLAB: An Introduction with Applications
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You would like to construct a 99% confidence interval to estimate the population mean time it takes drivers to react following the application of brakes by the
driver in front of them. You take a random sample of reaction time measurements and compute their mean to be 1.8 seconds and their standard deviation to be
0.4 seconds.
(a) What is the best point estimate, based on the sample, to use for the population mean?
| seconds
(b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value
for the 99% 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
t
Unclear
Sampling scenario
either Z ort
The sample has size 19, and it is from a normally distributed
population with a known standard deviation of 0.3.
The sample has size 80, and it is from a non-normally distributed
population.
The sample has size 10, and it is from a normally distributed
population with an unknown standard deviation.
Transcribed Image Text:Español You would like to construct a 99% confidence interval to estimate the population mean time it takes drivers to react following the application of brakes by the driver in front of them. You take a random sample of reaction time measurements and compute their mean to be 1.8 seconds and their standard deviation to be 0.4 seconds. (a) What is the best point estimate, based on the sample, to use for the population mean? | seconds (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 99% 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 t Unclear Sampling scenario either Z ort The sample has size 19, and it is from a normally distributed population with a known standard deviation of 0.3. The sample has size 80, and it is from a non-normally distributed population. The sample has size 10, and it is from a normally distributed population with an unknown standard deviation.
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