Income California

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Past records suggest that the mean annual income, μ1, of teachers in state of California is less than or equal to the mean annual income, μ2, 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

49295, 58254, 41816, 32956, 49205, 52846, 43580, 55307, 40173, 43977

Oregon

48849, 41526, 37385, 35389, 43368, 42775, 42505, 41210, 50088, 49926

the null hypothesis

the alternative hypothesis

the type of statistic: z, t, chia square, or F

The value of the test statistic (round to 3 decimal places

The p-value (round to three decimal places

Can we reject the claim that the mean annual income of teachers from CA is less than or equal to the mean annual income of teachers from Oregon

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 0.01 level of significance, is there sufficient evidence to reject the claim 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. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)