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
Ha: ?1 ??2 < 0
H0: ?1 ??2 < 0
Ha: ?1 ??2 ? 0
H0: ?1 ??2 ? 0
Ha: ?1 ??2 > 0
H0: ?1 ??2 > 0
Ha: ?1 ??2 = 0
H0: ?1 ??2 ? 0
Ha: ?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 =
