Question

Past records suggest that the mean annual income, μ 1 , of teachers in state of Arizona is greater than or equal to the mean annual income, μ 2 , of teachers in Nevada. In a current study, a random sample of 25 teachers from Arizona and an independent random sample of 25 teachers from Nevada have been asked to report their mean annual income.The data obtained are as follows. Annual income in dollars Arizona 45264, 32766, 36547, 37402, 38579, 37405, 35351, 39420, 45128, 37228, 35537, 35078, 38711, 30353, 42688, 36661, 37329, 33903, 27281, 45727, 33666, 38168, 40406, 35904, 36334 Nevada 42257, 41061, 44799, 40542, 42893, 39041, 40974, 39902, 43852, 44705, 31362, 47922, 37553, 45311, 44893, 38810, 44710, 37994, 40962, 47922, 39471, 34320, 46672, 47810, 38324 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 0.05 level of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of Arizona is greater than or equal to the mean annual income of teachers in Nevada? 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.) The null hypothesis: H 0 : The alternative hypothesis: H 1 : The type of test statistic: The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) 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? Yes No μ σ p x s p

Answer 1

ptoptaal hpohesis h is problom is given bt ot te achos a2 the nean annual intome et teachs in Nevasa Let anhual Higona and Nevado. Frtrn the data, Х.-36298.44 41762 .48 . Nevada . 36233441762.48- の2. 2. 25 ユー3.059. r- value a f- 3 .054 ate Same