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. Assume population variances are unknown and unequal.

City A	City B
n1 = 40	n2 = 50
x1 = $56,300	x2 = $59,300
s1 = $6,000	s2 = $7,000

(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 = _________

Answer 1

Answer:-

By using minitab we perform two sample t test and given answer on the basis of output

Path :- stat - basis statistics - two sample t test

From above we get

b) The value of test statistic , T = - 2.190

c) The  p-value with degrees of freedom 87 and = 0.05 , where is level of significance

P-value = 0.0312

Thanks dear student.