Are nursing salaries in City A lower than those in City B? As reported by a newspaper, salary data show staff nurses in

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Are Nursing Salaries In City A Lower Than Those In City B As Reported By A Newspaper Salary Data Show Staff Nurses In 1 (52.4 KiB) Viewed 86 times

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 = $56,400 x2 = $59,300 $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 a = 0.05. o Ho: Mi - M270 Ha: 41 - H2 = 0 o Họ: Ai - P2 0 o Ho: M1 - H2> 0 H: - 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? O 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 insufficient 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. 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.