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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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.
 
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