Cost of attendance at UCR For 17 randomly selected students enrolled at UCR, the sample mean and standard deviation for cost of attendance is $22,298 and $14,200, respectively. You are asked to use this information to conduct a significance test to evaluate the University's claim that the average cost of attendance for UCR undergraduates is $30,000. Use a significance level of .05. 13 000 between .01 and .025 between.01 and .02 between .025 and .05 What conclusion would you draw from this significance test? We reject that the mean cost of attendance is $30,000 at the 5% significance level. We fail to reject that the mean cost of attendance is $30,000 at the 5% significance level. We accept that the mean cost of attendance is $30,000 at the 5% significance level. We accept that the mean cost of attendance is not $30,000 at the 5% significance level. 14 If you were to construct a 95% confidence interval for the mean cost of attendance using the data used to conduct the significance test, would you find $30,000 in the interval? yes because we failed to reject that the true mean cost of attendance is $30,000 no because we rejected that the true mean cost of attendance is $30,000 uncertain because the sample mean is a random variable

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 3BGP
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Cost of attendance at UCR
For 17 randomly selected students enrolled at UCR, the sample mean and standard
deviation for cost of attendance is $22,298 and $14,200, respectively. You are asked
to use this information to conduct a significance test to evaluate the University's
claim that the average cost of attendance for UCR undergraduates is $30,000. Use a
significance level of .05.
13
DO
between .01 and .025
between .01 and .02
between .025 and .05
What conclusion would you draw from this significance test?
We reject that the mean cost of attendance is $30,000 at
the 5% significance level.
We fail to reject that the mean cost of attendance is
$30,000 at the 5% significance level.
We accept that the mean cost of attendance is $30,000
at the 5% significance level.
We accept that the mean cost of attendance is not
$30,000 at the 5% significance level.
14
If you were to construct a 95% confidence interval for the mean
cost of attendance using the data used to conduct the
significance test, would you find $30,000 in the interval?
yes because we failed to reject that the true mean cost of
attendance is $30,000
no because we rejected that the true mean cost of
attendance is $30,000
uncertain because the sample mean is a random variable
yes because we rejected that the true mean cost of
attendance is $30.000
Transcribed Image Text:Cost of attendance at UCR For 17 randomly selected students enrolled at UCR, the sample mean and standard deviation for cost of attendance is $22,298 and $14,200, respectively. You are asked to use this information to conduct a significance test to evaluate the University's claim that the average cost of attendance for UCR undergraduates is $30,000. Use a significance level of .05. 13 DO between .01 and .025 between .01 and .02 between .025 and .05 What conclusion would you draw from this significance test? We reject that the mean cost of attendance is $30,000 at the 5% significance level. We fail to reject that the mean cost of attendance is $30,000 at the 5% significance level. We accept that the mean cost of attendance is $30,000 at the 5% significance level. We accept that the mean cost of attendance is not $30,000 at the 5% significance level. 14 If you were to construct a 95% confidence interval for the mean cost of attendance using the data used to conduct the significance test, would you find $30,000 in the interval? yes because we failed to reject that the true mean cost of attendance is $30,000 no because we rejected that the true mean cost of attendance is $30,000 uncertain because the sample mean is a random variable yes because we rejected that the true mean cost of attendance is $30.000
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