Are nursing salaries in City A lower than those in City B? As reported by a newspaper, salary data show that 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 = $56,200
s1 = $6,000
City B:
n2 = 50
x2 = $59,400
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 α = 0.05.
H0: μ1 - μ2 ≥ 0
Ha: μ1 - μ2 < 0
(b) What is the value of the test statistic? (Round your answer to three decimal places.)
(c) What is the p-value? (Round your answer to four decimal places.)
p-value =