You would like to construct a 95% confidence Interval to estimate today's population mean temperature, so you make a series of measurements (a random sample) throughout the day. The mean of these measurements is 58 degrees Fahrenheit, and their standard devlation is 3 degrees Fahrenheit. (a) What Is the best point estimate, based on the sample, to use for the population mean? I degrees (b) For each of the following sampling scenarlos, determine which distribution should be used to calculate the critical value for the 95% confidence Interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to a tdistribution.) Sampling scenario Could use Unclear either Z or t The sample has size 16, and it is from a population with a distribution ? about which we know very little. O. The sample has size 100, and it is from a non-normally distributed population with a known standard deviation of 3.3. The sample has size 14, and it is from a normally distributed population with an unknown standard deviation.

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Selecting appropriate distributions for constructing confidence.
You would like to construct a 95% confidence Interval to estimate today's population mean temperature, so you make a series of measurements (a random
sample) throughout the day. The mean of these measurements is 58 degrees Fahrenheit, and their standard deviation is 3 degrees Fahrenheit.
(a) What is the best point estimate, based on the sample, to use for the population mean?
I degrees
(b) For each of the following sampling scenarlos, determine which distribution should be used to calculate the critical value for the
95% confidence Interval for the population mean.
(In the table, Z refers to a standard normal distribution, and t refers to atdistribution.)
Could use
Sampling scenario
Unclear
either Z or t
The sample has size 16, and it is from a population with a distribution
about which we know very little.
O.
The sample has size 100, and it is from a non-normally distributed
population with a known standard deviation of 3.3.
The sample has size 14, and it is from a normally distributed population
with an unknown standard deviation.
Explanation
Check
2021 McGraw-HIT Education. All Rights Reserved Terms of Use Privacy
&
4
y
e
d.
a
m
mebook x360
Runned Chronebook.
Transcribed Image Text:Selecting appropriate distributions for constructing confidence. You would like to construct a 95% confidence Interval to estimate today's population mean temperature, so you make a series of measurements (a random sample) throughout the day. The mean of these measurements is 58 degrees Fahrenheit, and their standard deviation is 3 degrees Fahrenheit. (a) What is the best point estimate, based on the sample, to use for the population mean? I degrees (b) For each of the following sampling scenarlos, determine which distribution should be used to calculate the critical value for the 95% confidence Interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to atdistribution.) Could use Sampling scenario Unclear either Z or t The sample has size 16, and it is from a population with a distribution about which we know very little. O. The sample has size 100, and it is from a non-normally distributed population with a known standard deviation of 3.3. The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. Explanation Check 2021 McGraw-HIT Education. All Rights Reserved Terms of Use Privacy & 4 y e d. a m mebook x360 Runned Chronebook.
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