Is the difference between the mean annual salaries of entry level architects in Denver, Colorado, and Lincoln, Nebraska, equal to $10 comma 50010,500? To decide, you select a random sample of entry level architects from each city. The results of each survey are shown. Assume the population standard deviations are sigma 1σ1equals=$65716571 and sigma 2σ2equals=$62986298. At alphaαequals=0.010.01, what should you conclude? Entry level architects in Denver, CO Entry level architects in Lincoln, NE x overbar 1x1 = 58, 300 x overbar 2x2 = 54,240 n 1n1 = 33 n 2n2 = 34 Calculate the standardized test statistic. Determine the P-value What can you conclude about the data? A. RejectReject Upper H 0H0. At the 1% level of significance, there is insufficientinsufficient evidence to reject the claim that the difference in mean annual salaries is $10 comma 50010,500. B. RejectReject Upper H 0H0. At the 1% level of significance, there is sufficientsufficient evidence to reject the claim that the difference in mean annual salaries is $10 comma 50010,500. C. Fail to rejectFail to reject Upper H 0H0. At the 1% level of significance, there is sufficientsufficient evidence to reject the claim that the difference in mean annual salaries is $10 comma 50010,500. D. Fail to rejectFail to reject Upper H 0H0. At the 1% level of significance, there is insufficient or sufficient evidence to reject the claim that the difference in mean annual salaries is $10 comma 50010,500.
Is the difference between the mean annual salaries of entry level architects in Denver, Colorado, and Lincoln, Nebraska, equal to $10 comma 50010,500? To decide, you select a random sample of entry level architects from each city. The results of each survey are shown. Assume the population standard deviations are sigma 1σ1equals=$65716571 and sigma 2σ2equals=$62986298. At alphaαequals=0.010.01, what should you conclude? Entry level architects in Denver, CO Entry level architects in Lincoln, NE x overbar 1x1 = 58, 300 x overbar 2x2 = 54,240 n 1n1 = 33 n 2n2 = 34 Calculate the standardized test statistic. Determine the P-value What can you conclude about the data? A. RejectReject Upper H 0H0. At the 1% level of significance, there is insufficientinsufficient evidence to reject the claim that the difference in mean annual salaries is $10 comma 50010,500. B. RejectReject Upper H 0H0. At the 1% level of significance, there is sufficientsufficient evidence to reject the claim that the difference in mean annual salaries is $10 comma 50010,500. C. Fail to rejectFail to reject Upper H 0H0. At the 1% level of significance, there is sufficientsufficient evidence to reject the claim that the difference in mean annual salaries is $10 comma 50010,500. D. Fail to rejectFail to reject Upper H 0H0. At the 1% level of significance, there is insufficient or sufficient evidence to reject the claim that the difference in mean annual salaries is $10 comma 50010,500.
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
Related questions
Question
100%
Is the difference between the mean annual salaries of entry level architects in Denver, Colorado, and Lincoln, Nebraska, equal to
$10 comma 50010,500?
To decide, you select a random sample of entry level architects from each city. The results of each survey are shown. Assume the population standard deviations are
sigma 1σ1equals=$65716571
and
sigma 2σ2equals=$62986298.
At
alphaαequals=0.010.01,
what should you conclude?
Entry level architects in Denver, CO
|
Entry level architects in Lincoln, NE
|
||||
---|---|---|---|---|---|
x overbar 1x1
|
=
|
58, 300
|
x overbar 2x2
|
=
|
54,240
|
n 1n1
|
=
|
33
|
n 2n2
|
=
|
34
|
Calculate the standardized test statistic.
Determine the P-value
What can you conclude about the data?
RejectReject
Upper H 0H0.
At the 1% level of significance, there is
insufficientinsufficient
evidence to reject the claim that the difference in mean annual salaries is
$10 comma 50010,500.
RejectReject
Upper H 0H0.
At the 1% level of significance, there is
sufficientsufficient
evidence to reject the claim that the difference in mean annual salaries is
$10 comma 50010,500.
Fail to rejectFail to reject
Upper H 0H0.
At the 1% level of significance, there is
sufficientsufficient
evidence to reject the claim that the difference in mean annual salaries is
$10 comma 50010,500.
Fail to rejectFail to reject
Upper H 0H0.
At the 1% level of significance, there is
insufficient or sufficient
evidence to reject the claim that the difference in mean annual salaries is
$10 comma 50010,500.
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