The annual salaries (in dollars) of 14 randomly chosen fire fighters are listed. At a= 0.05, is there enough evidence to support the claim that the standard deviation of the annual salaries is different from $5350? Assume the population is normally distributed. Complete parts (a) through (e) below. 50,762 40,917 52,417 46,547 41,771 40,186 51,110 52,078 43.835 34,834 35,086 28,198 32,769 37.955 Click the icon to view the Chi-Square Distribution Table. (a) Write the claim mathematically and identify Ho and H₂- OA. H₂: as 5350 (Claim); H₂: >5350 OB. H₂:=5350; H₂: #5350 (Claim) OC. H: 25350; H₂: <5350 (Claim) O D. H₂: <5350 (Claim); H₂: 25350 (b) Find the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Choose the correct graph below. OA Q Q (c) Find the standardized test statistic for the ²-test. 7-0 (Round to three decimal places as needed.) O B. no Q OC. A Q Q G OD. A Q Q
The annual salaries (in dollars) of 14 randomly chosen fire fighters are listed. At a= 0.05, is there enough evidence to support the claim that the standard deviation of the annual salaries is different from $5350? Assume the population is normally distributed. Complete parts (a) through (e) below. 50,762 40,917 52,417 46,547 41,771 40,186 51,110 52,078 43.835 34,834 35,086 28,198 32,769 37.955 Click the icon to view the Chi-Square Distribution Table. (a) Write the claim mathematically and identify Ho and H₂- OA. H₂: as 5350 (Claim); H₂: >5350 OB. H₂:=5350; H₂: #5350 (Claim) OC. H: 25350; H₂: <5350 (Claim) O D. H₂: <5350 (Claim); H₂: 25350 (b) Find the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Choose the correct graph below. OA Q Q (c) Find the standardized test statistic for the ²-test. 7-0 (Round to three decimal places as needed.) O B. no Q OC. A Q Q G OD. A Q Q
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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![The annual salaries (in dollars) of 14 randomly chosen fire fighters are listed. At a=0.05, is there enough evidence to support the claim that the standard deviation of the annual salaries is different from $5350? Assume the population is normally distributed. Complete parts (a) through (e) below.
50,762 40,917 52,417 46,547 41,771 40,186 51,110
52,078 43,835 34,834 35.086 28,198 32,769 37,955
Click the icon to view the Chi-Square Distribution Table
(a) Write the claim mathematically and identify Ho and Ha
OA. Ho: 5350 (Claim); H₂: >5350
OB. H₂:=5350; H₂: #5350 (Claim)
OC. H: 25350; H₂: <5350 (Claim)
OD. H₂: <5350 (Claim); H₂: 25350
(b) Find the critical value(s).
x =
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Identify the rejection region(s). Choose the correct graph below.
OA
(c) Find the standardized test statistic for the X-test.
x-0
(Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
OA. Fail to reject Ho. The standardized test statistic is not in the rejection region.
OB. Fail to reject Ho. The standardized test statistic is in the rejection region.
OC. Reject Ho. The standardized test statistic is not in the rejection region.
OD. Reject Ho. The standardized test statistic is in the rejection region.
O B.
Q
O A. Since the null hypothesis is rejected, there is enough evidence to support the claim.
OB. Since the null hypothesis is not rejected, there is enough evidence to support the claim.
OC. Since the null hypothesis is not rejected, there is not enough evidence to support the claim.
OD. Since the null hypothesis is rejected, there is not enough evidence to support the claim.
G
(e) Interpret the decision in the context of the original claim.
Is there enough evidence to support the claim that the standard deviation of the annual salaries of fire fighters' is different from $5350 at the 5% level of significance?
-
OC.
Q
na
Q
OD.
A
Q
Q](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66ef81da-8064-443a-a945-c0be2ae2e900%2Fd1139963-f06f-4ab3-9e04-a2caf5fe007e%2F9xpt6qq_processed.png&w=3840&q=75)
Transcribed Image Text:The annual salaries (in dollars) of 14 randomly chosen fire fighters are listed. At a=0.05, is there enough evidence to support the claim that the standard deviation of the annual salaries is different from $5350? Assume the population is normally distributed. Complete parts (a) through (e) below.
50,762 40,917 52,417 46,547 41,771 40,186 51,110
52,078 43,835 34,834 35.086 28,198 32,769 37,955
Click the icon to view the Chi-Square Distribution Table
(a) Write the claim mathematically and identify Ho and Ha
OA. Ho: 5350 (Claim); H₂: >5350
OB. H₂:=5350; H₂: #5350 (Claim)
OC. H: 25350; H₂: <5350 (Claim)
OD. H₂: <5350 (Claim); H₂: 25350
(b) Find the critical value(s).
x =
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Identify the rejection region(s). Choose the correct graph below.
OA
(c) Find the standardized test statistic for the X-test.
x-0
(Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
OA. Fail to reject Ho. The standardized test statistic is not in the rejection region.
OB. Fail to reject Ho. The standardized test statistic is in the rejection region.
OC. Reject Ho. The standardized test statistic is not in the rejection region.
OD. Reject Ho. The standardized test statistic is in the rejection region.
O B.
Q
O A. Since the null hypothesis is rejected, there is enough evidence to support the claim.
OB. Since the null hypothesis is not rejected, there is enough evidence to support the claim.
OC. Since the null hypothesis is not rejected, there is not enough evidence to support the claim.
OD. Since the null hypothesis is rejected, there is not enough evidence to support the claim.
G
(e) Interpret the decision in the context of the original claim.
Is there enough evidence to support the claim that the standard deviation of the annual salaries of fire fighters' is different from $5350 at the 5% level of significance?
-
OC.
Q
na
Q
OD.
A
Q
Q
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