You would like to construct a 90% confidence interval to estimate the population mean score on a nationwide examination in finance, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 502 and a standard deviation of 75. (a) What is the best point estimate, based on the sample, to use for the population mean? 0 Sampling scenario (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 / refers to a t distribution.) The sample has size 85, and it is from a non-normally distributed population. The sample has size 10, and it is from a normally distributed population with a known standard deviation of 76. The sample has size 16, and it is from a normally distributed population with an unknown standard deviation. Z O O 1 O O O O X Could use either Z or t O O O 5 Unclear O O O ? 8 民 凹 E
You would like to construct a 90% confidence interval to estimate the population mean score on a nationwide examination in finance, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 502 and a standard deviation of 75. (a) What is the best point estimate, based on the sample, to use for the population mean? 0 Sampling scenario (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 / refers to a t distribution.) The sample has size 85, and it is from a non-normally distributed population. The sample has size 10, and it is from a normally distributed population with a known standard deviation of 76. The sample has size 16, and it is from a normally distributed population with an unknown standard deviation. Z O O 1 O O O O X Could use either Z or t O O O 5 Unclear O O O ? 8 民 凹 E
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Transcribed Image Text:You would like to construct a 90% confidence interval to estimate the population mean score on a nationwide examination in finance, and for this purpose we
choose a random sample of exam scores. The sample we choose has a mean of 502 and a standard deviation of 75.
(a) What is the best point estimate, based on the sample, to use for the population mean?
0
(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 / refers to at distribution.)
Sampling scenario
The sample has size 85, and it is from a non-normally distributed
population.
The sample has size 10, and it is from a normally distributed
population with a known standard deviation of 76.
The sample has size 16, and it is from a normally distributed
population with an unknown standard deviation.
Z
O
O
t
O
O
Could use
either Zor t
O
O
Unclear
O
O
X
?
00
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