Question

Past records suggest that the mean annual income, Hy, of teachers in state of California is less than or equal to the mean annual income, Hy, of teachers in Oregon. In a current study, a random sample of 10 teachers from California and an independent random sample of 10 teachers from Oregon have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars California 43096,44370,53093, 52462, 41185, 49592, 41491, 45798,43632, 48322 Oregon 46049, 38659,49394,42895,45701,48633,4679444133,49644, 52528 00 The population standard deviation for mean annual income of teachers in California and in Oregon are estimated as 6100 and 6200, respectively. It is also known that both populations are approximately normally distributed. At the 0.1 level of significance, is there sufficient evidence to reject the daim that the mean annual income of teachers in state of California is less than or equal to the mean annual income of teachers in Oregon? Perform a one-tailed test. Thenni in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

Answer 1

H₀: µ₁ $\leq$ µ₂

H₁: µ₁ > µ₂

z

-0.052

0.521

No

1	2
46304.1	46443	mean
6100	6200	std. dev.
10	10	n
	-138.9000	difference (1 - 2)
	2,750.4545	standard error of difference
	5	hypothesized difference
	-0.052	z
	.521	p-value (one-tailed, upper)