(a) |
State the null hypothesis
and the alternative hypothesis
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(b) |
Determine the type of test statistic to use. |
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▼(Choose one) |
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(c) |
Find the value of the test statistic. (Round to three or more decimal places.) |
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(d) |
Find the critical value at the
level of significance. (Round to three or more decimal places.) |
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(e) |
Can we reject the claim that the mean annual income of teachers from Arizona is greater than or equal to the mean annual income of teachers from Nevada? |
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Extracted text: Past records suggest that the mean annual income, l1, of teachers in the state of Arizona is greater than or equal to the mean annual income, l, of teachers in Nevada. In a current study, a random sample of 20 teachers from Arizona and an independent random sample of 20 teachers from Nevada have been asked to report their mean annual income. The data obtained are as follows. Annual income in dollars 38014, 42255, 40176, 28386, 23727, 42688, 38470, 35562, 36254, 35637, 44995, 41136, 36346, 31201, 34102, 43877, 43721, 42003, Arizona 45727, 40882 49697, 44832, 34273, 49525, 45103, 32198, 54137, 51345, 41266, 47281, 33363, 40889, 47776, 43971, 37751, 41158, 36213, 39460, Nevada 38368, 51633 Send data to calculator Send data to Excel The population standard deviation for mean annual income of teachers in Arizona and in Nevada are estimated as 6300 and 6500, 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 claim that the mean annual income of teachers in the state of Arizona is greater than or equal to the mean annual income of teachers in Nevada? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)