Past records suggest that the mean annual income, μ1 , of teachers in state of Utah is greater than or equal to the mean annual income, μ2 , of teachers in Oregon. In a current study, a random sample of 15 teachers from Utah and an independent random sample of 15 teachers from Oregon have been asked to report their mean annual income.The data obtained are as follows. Annual income in dollars Utah 40375, 40119, 38197, 31687, 33695, 32737, 31677, 34683, 29973, 27954, 30679, 23613, 30854, 39423, 43263 Oregon 29526, 39202, 41422, 42190, 33702, 43330, 37084, 35078, 50852, 45628, 43294, 28607, 39779, 42331, 40648 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 0.05 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. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF 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
Past records suggest that the
, of teachers in state of Utah is greater than or equal to the mean annual income,
, of teachers in Oregon. In a current study, a random sample of
teachers from Utah and an independent random sample of
teachers from Oregon have been asked to report their mean annual income.The data obtained are as follows.
Annual income in dollars | ||
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Utah |
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Oregon |
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The population standard deviation for mean annual income of teachers in Utah and in Oregon are estimated as
and
, respectively. It is also known that both populations are approximately
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.
The null hypothesis: |
H0:
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The alternative hypothesis: |
H1:
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The type of test statistic: | (Choose one)ZtChi squareF | |||
The value of the test statistic: (Round to at least three decimal places.) |
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The p-value: (Round to at least three decimal places.) |
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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? |
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