You may need to use the appropriate technology to answer this question. Are nursing salaries in City...

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You may need to use the appropriate technology to answer thisquestion.
Are nursing salaries in City A lower than those in City B? Asreported by a newspaper, salary data show staff nurses in City Aearn less than staff nurses in City B. Suppose that in a follow-upstudy of 40 staff nurses in City A and 50 staff nurses in City Byou obtain the following results. Assume population variances areunknown and unequal.
City A City B
n₁ = 40
n₂ = 50
x₁ = $56,500
x₂ = $59,500
s₁ = $6,000
s₂ = $7,000
(a)
Formulate hypotheses so that, if the null hypothesis isrejected, we can conclude that salaries for staff nurses in City Aare significantly lower than for those in City B. Use
? = 0.05.
H₀: ?₁ ??₂ = 0
H_a: ?₁ ??₂ < 0
H₀: ?₁ ??₂ < 0
H_a: ?₁ ??₂ ? 0

H₀: ?₁ ??₂ ? 0
H_a: ?₁ ??₂ > 0
H₀: ?₁ ??₂ > 0
H_a: ?₁ ??₂ = 0
H₀: ?₁ ??₂ ? 0
H_a: ?₁ ??₂ = 0
(b)
What is the value of the test statistic? (Round your answer tothree decimal places.)
(c)
What is the p-value? The degrees of freedom for thistest are 87. (Round your answer to four decimal places.)
p-value =

City A	City B
n₁ = 40	n₂ = 50
x₁ = $56,500	x₂ = $59,500
s₁ = $6,000	s₂ = $7,000

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Average salaries for staff nurses in City AAveragesalaries for staff nurses in City BFormulate hypotheses so that if the null hypothesis isrejected we can conclude that salaries for staff nurses See Answer

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