Are nursing salaries in City A lower than those in City B? As reported by a newspaper, salary data show staff nurses in City A earn less than staff nurses in City B. Suppose that in a follow-up study of 40 staff nurses in City A and 50 staff nurses in City B you obtain the following results. City A n₁ = 40 X₁ = $56,400 City B 7₂ = 50 X₂ = $59,500 $2 = $7,000 (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in City A are significantly lower than for those in City B. Use a = 0.05. Hoi Mì - Hz 20 Ha: M₁ M₂ =0 S₁ = $6,000 Ho: 1₁ - 1₂ = 0 Ha: M₁ M₂0 o Hộ Mì U250 Hải My - H2>0 o Hội quy #0 Ha Uy - H2 = 0 o Ho H - Uz = 0 Ha: M₁ M₂ < 0 (b) What is the value of the test statistic? (Round your answer to three decimal places.) -2.247 X (c) What is the p-value? (Round your answer to four decimal places.) p-value= 0.0136 X (d) What is your conclusion? O Do not reject Ho. There is insufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B. O Reject Ho. There is insufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B. Reject Ho. There is sufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B. O Do not Reject Ho. There is sufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B.
Are nursing salaries in City A lower than those in City B? As reported by a newspaper, salary data show staff nurses in City A earn less than staff nurses in City B. Suppose that in a follow-up study of 40 staff nurses in City A and 50 staff nurses in City B you obtain the following results. City A n₁ = 40 X₁ = $56,400 City B 7₂ = 50 X₂ = $59,500 $2 = $7,000 (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in City A are significantly lower than for those in City B. Use a = 0.05. Hoi Mì - Hz 20 Ha: M₁ M₂ =0 S₁ = $6,000 Ho: 1₁ - 1₂ = 0 Ha: M₁ M₂0 o Hộ Mì U250 Hải My - H2>0 o Hội quy #0 Ha Uy - H2 = 0 o Ho H - Uz = 0 Ha: M₁ M₂ < 0 (b) What is the value of the test statistic? (Round your answer to three decimal places.) -2.247 X (c) What is the p-value? (Round your answer to four decimal places.) p-value= 0.0136 X (d) What is your conclusion? O Do not reject Ho. There is insufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B. O Reject Ho. There is insufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B. Reject Ho. There is sufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B. O Do not Reject Ho. There is sufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Are nursing salaries in City A lower than those in City B? As reported by a newspaper, salary data show staff nurses in City A earn less than staff nurses in City B. Suppose that in a follow-up study of 40 staff nurses in City A and 50 staff nurses in City B you
obtain the following results.
City A
n₁ = 40
X₁ = $56,400
City B
7₂ = 50
X₂ = $59,500
$2 = $7,000
(a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in City A are significantly lower than for those in City B. Use a = 0.05.
Hoi Mì - Hz 20
Ha: M₁ M₂ =0
S₁ = $6,000
Ho: 1₁ - 1₂ = 0
Ha: M₁ M₂0
o Hộ Mì U250
Hải My - H2>0
o Hội quy #0
Ha Uy - H2 = 0
o Ho H - Uz = 0
Ha: M₁ M₂ < 0
(b) What is the value of the test statistic? (Round your answer to three decimal places.)
-2.247
X
(c) What is the p-value? (Round your answer to four decimal places.)
p-value= 0.0136
X
(d) What is your conclusion?
O Do not reject Ho. There is insufficient evidence to conclude that the salaries of staff nurses are lower in City A than in
City B.
O Reject Ho. There is insufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B.
Reject Ho. There is sufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B.
O Do not Reject Ho. There is sufficient evidence to conclude that the salaries of staff nurses are lower in City A than in
City B.
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