Past records suggest that the mean annual income, u, of teachers in state of Utah is greater than or equal to the mean annual income, u,, of teachers in Oregon. In a current study, a random sample of 25 teachers from Utah and an independent random sample of 25 teachers from Oregon have been asked to report their mean annual income.The data obtained are as follows. Annual income in dollars | 41264, 29116, 23631, 46394, 28063, 31348, 37830, 41456, 39553, 39619, 32624, 21944, 35824, 36126, 33402, 30834, | 46644, 37004, 38100, 40820, 29763, 32664, 38361, 35726, 23918 Utah | 35762, 37557, 42852, 38904, 38141, 37413, 37216, 39112, 47116, 25804, 40956, 40207, 31363, 29097, 46144, 43432, 41236, 39786, 46860, 41954, 493000, 39676, 45148, 43630, 39248 Oregon Send data to calculator ▼ Send data to Excel The population standard deviation for mean annual income of teachers in Utah and in Oregon are estimated as 6400 and 6500, 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 Utah is greater 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.)
Past records suggest that the mean annual income, u, of teachers in state of Utah is greater than or equal to the mean annual income, u,, of teachers in Oregon. In a current study, a random sample of 25 teachers from Utah and an independent random sample of 25 teachers from Oregon have been asked to report their mean annual income.The data obtained are as follows. Annual income in dollars | 41264, 29116, 23631, 46394, 28063, 31348, 37830, 41456, 39553, 39619, 32624, 21944, 35824, 36126, 33402, 30834, | 46644, 37004, 38100, 40820, 29763, 32664, 38361, 35726, 23918 Utah | 35762, 37557, 42852, 38904, 38141, 37413, 37216, 39112, 47116, 25804, 40956, 40207, 31363, 29097, 46144, 43432, 41236, 39786, 46860, 41954, 493000, 39676, 45148, 43630, 39248 Oregon Send data to calculator ▼ Send data to Excel The population standard deviation for mean annual income of teachers in Utah and in Oregon are estimated as 6400 and 6500, 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 Utah is greater 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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The null hypothesis:
H
, :0
The alternative hypothesis:
H :0
Н
1
The type of test statistic:
(Choose one) v
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 Utah is greater than or
equal to the mean annual income of teachers from
Oregon?
Yes
No
Transcribed Image Text:Past records suggest that the mean annual income, µ , of teachers in state of Utah is greater than or equal to the mean annual income, µ,, of
teachers in Oregon. In a current study, a random sample of 25 teachers from Utah and an independent random sample of 25 teachers from
Oregon have been asked to report their mean annual income.The data obtained are as follows.
Annual income in dollars
41264, 29116, 23631, 46394, 28063, 31348, 37830, 41456, 39553, 39619, 32624, 21944, 35824, 36126, 33402, 30834,
Utah
46644, 37004, 38100, 40820, 29763, 32664, 38361, 35726, 23918
35762, 37557, 42852, 38904, 38141, 37413, 37216, 39112, 47116, 25804, 40956, 40207, 31363, 29097, 46144, 43432,
Oregon
41236, 39786, 46860, 41954, 49300, 39676, 45148, 43630, 39248
Send data to calculator
Send data to Excel
The population standard deviation for mean annual income of teachers in Utah and in Oregon are estimated as 6400 and 6500, 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 Utah is greater 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.)
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