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. Assume population variances are unknown and unequal. City A City B n = 40 n2 = 50 X, = $56,600 X2 = $59,500 s, = $6,000 S2 = $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. Ho: H1 - 42 # 0 Hại Hy - H2 = 0 Hoi H - H2 = 0 H3: H1 - 42 < 0 Ho: H1 - 42 > 0 H3: H1 - H2 = 0 Ho: H1 - H250 H3: H1 - 42 > 0 Ho: H1 - 42 < 0 Ha: H1 - 42 * 0 (b) What is the value of the test statistic? (Round your answer to three decimal places.) (c) What is the p-value? The degrees of freedom for this test are 87. (Round your answer to four decimal places.) p-value = (d) What is your conclusion? 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. O 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 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.
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. Assume population variances are unknown and unequal. City A City B n = 40 n2 = 50 X, = $56,600 X2 = $59,500 s, = $6,000 S2 = $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. Ho: H1 - 42 # 0 Hại Hy - H2 = 0 Hoi H - H2 = 0 H3: H1 - 42 < 0 Ho: H1 - 42 > 0 H3: H1 - H2 = 0 Ho: H1 - H250 H3: H1 - 42 > 0 Ho: H1 - 42 < 0 Ha: H1 - 42 * 0 (b) What is the value of the test statistic? (Round your answer to three decimal places.) (c) What is the p-value? The degrees of freedom for this test are 87. (Round your answer to four decimal places.) p-value = (d) What is your conclusion? 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. O 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 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.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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. Assume population variances are unknown and unequal.
City A
City B
n1
= 40
n2
50
X1 = $56,600 x2 = $59,500
S1 = $6,000
S2 = $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.
Ho: H1 - 42 # 0
Ha: H1 - H2 = 0
Hoi Hq- Hz = 0
Hai M1- Hz<0
Ho: H1 - 42 > 0
Ha: H1 - H2 = 0
Ho: H1 - 42 s0
Ha: H1 - H2 > 0
Ho: H1 - H2 < 0
Ha: H1 - 42 + 0
(b) What is the value of the test statistic? (Round your answer to three decimal places.)
(c) What is the p-value? The degrees of freedom for this test are 87. (Round your answer to four decimal places.)
p-value
(d) What is your conclusion?
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.
Reject Ho. There is sufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B.
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.
Reject Ho. There is insufficient evidence to conclude that the salaries of staff nurses are lower in City A than in City B.
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