You may need to use the appropriate technology to answer this question. 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 City B ու = 40 n₂ = 50 X1 $56,400 X2 $59,500 = $1 = $6,000 $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 α = 0.05. Ho: M₁ - μ₂> 0 = 0 о Ha: 41-420 Hoμ1 - μ20 Hai H₂-12=0 Ho₂-14220 < 0 о (b) What is the value of the test statistic? (Round your answer to three decimal places.) -2.261 (c) What is the p-value? (Round your answer to four decimal places.) p-value = 125.67 ×

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You may need to use the appropriate technology to answer this question.
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
City B
ու
= 40
n₂ = 50
X1
$56,400 X2
$59,500
=
$1 = $6,000
$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 α = 0.05.
Ho: M₁ - μ₂> 0
= 0
о
Ha: 41-420
Hoμ1 - μ20
Hai H₂-12=0
Ho₂-14220
< 0
о
(b) What is the value of the test statistic? (Round your answer to three decimal places.)
-2.261
(c) What is the p-value? (Round your answer to four decimal places.)
p-value = 125.67
×
Transcribed Image Text:You may need to use the appropriate technology to answer this question. 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 City B ու = 40 n₂ = 50 X1 $56,400 X2 $59,500 = $1 = $6,000 $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 α = 0.05. Ho: M₁ - μ₂> 0 = 0 о Ha: 41-420 Hoμ1 - μ20 Hai H₂-12=0 Ho₂-14220 < 0 о (b) What is the value of the test statistic? (Round your answer to three decimal places.) -2.261 (c) What is the p-value? (Round your answer to four decimal places.) p-value = 125.67 ×
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