Question

An NGO claims that in Costa Rica the average monthly salary of computer engineers is at least $ 150,000 higher than that of female engineers in this field. To obtain evidence to support their complaint, they take two samples from professionals in computer engineering and record the following data:

	Sample of Men	Sample of Women
Sample size	122	170
Average salary (dollars)	1 205 320	987 060
Sample deviation (dollars)	327 032	279 003

a) Determine the P value of the test.

b) Justify if the complaint presented by the NGO has any statistical basis, at a significance level of 3%.

Answer 1

(a) The p-value is 0.0154.

(b) Since the p-value (0.0154) is less than the significance level (0.03), we can reject the null hypothesis.

Therefore, we can conclude that the average monthly salary of computer engineers is at least $ 150,000 higher than that of female engineers in this field.

Men	Women
1205320	978060	mean
327032	279003	std. dev.
122	170	n
	290	df
	2,27,260.000	difference (Men - Women)
	89,98,74,25,239.397	pooled variance
	2,99,979.041	pooled std. dev.
	35,594.096	standard error of difference
	150000	hypothesized difference
	2.171	t
	.0154	p-value (one-tailed, upper)

Please give me a thumbs-up if this helps you out. Thank you!