O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Hypothesis test for the difference of population means: Z test Past records suggest that the mean annual income, u, of teachers in state of Connecticut is less than or equal to the mean annual income, l, of teachers in California. In a current study, a random sample of 15 teachers from Connecticut and an independent random sample of 15 teachers from California have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars Connecticut 48744, 40768, 48402, 56789, 42113, 51354, 49991, 42103, 60189, 57126, 47082, 43378, 55693, 52235, 37737 California 47631, 56080, 48465, 56551, 43139, 41467, 46953, 44628, 52301, 41674, 47320, 44838, 43941, 47110, 39887 Send data to calculator v Send data to Excel The population standard deviation for mean annual income of teachers in Connecticut and in California are estimated as 6300 and 6100, 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 Connecticut is less than or equal to the mean annual income of teachers in California? 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: The alternative hypothesis: The type of test statistic: (Choose one) ♥ D=0 OSO nin Ix II
O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Hypothesis test for the difference of population means: Z test Past records suggest that the mean annual income, u, of teachers in state of Connecticut is less than or equal to the mean annual income, l, of teachers in California. In a current study, a random sample of 15 teachers from Connecticut and an independent random sample of 15 teachers from California have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars Connecticut 48744, 40768, 48402, 56789, 42113, 51354, 49991, 42103, 60189, 57126, 47082, 43378, 55693, 52235, 37737 California 47631, 56080, 48465, 56551, 43139, 41467, 46953, 44628, 52301, 41674, 47320, 44838, 43941, 47110, 39887 Send data to calculator v Send data to Excel The population standard deviation for mean annual income of teachers in Connecticut and in California are estimated as 6300 and 6100, 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 Connecticut is less than or equal to the mean annual income of teachers in California? 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: The alternative hypothesis: The type of test statistic: (Choose one) ♥ D=0 OSO nin Ix II
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING
Hypothesis test for the difference of population means: Z test
Je
Past records suggest that the mean annual income, u,, of teachers in state of Connecticut is less than or equal to the mean annual income, u, of teachers in
California. In a current study, a random sample of 15 teachers from Connecticut and an independent random sample of 15 teachers from California have been
asked to report their mean annual income. The data obtained are as follows:
Annual income in dollars
Connecticut 48744, 40768, 48402, 56789, 42113, 51354, 49991, 42103, 60189, 57126, 47082, 43378, 55693, 52235, 37737
California 47631, 56080, 48465, 56551, 43139, 41467, 46953, 44628, 52301, 41674, 47320, 44838, 43941, 47110, 39887
Send data to calculator v
Send data to Excel
The population standard deviation for mean annual income of teachers in Connecticut and in California are estimated as 6300 and 6100, 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 Connecticut is less than or equal to the mean annual income of teachers in California? 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:
合
The alternative hypothesis:
The type of test statistic:
(Choose one) v
OSO
O<O
olo
II
Transcribed Image Text:HYPOTHESIS TESTING
Hypothesis test for the difference of population means: Z test
KITOWIT
mean a.
Then fill in the table below.
OLT populations are dpproxmately iormanY UIstributeU. At the v.AUTTEver o SigicantE, IS Cheres
income of teachers in state of Connecticut is less than or equal to the mean annual income of tea
Carry your intermediate computations to at least three decimal places and round your answers as specified in t
The null hypothesis:
The alternative hypothesis:
The type of test statistic:
|(Choose one) v
D=0
OSO
O<O
The value of the test statistic:
(Round to at least three
decimal places.)
The critical value at the 0.01
level of significance:
(Round to at least three
decimal places.)
Can we reject the claim that the mean annual
income of teachers from Connecticut is less than or
equal to the mean annual income of teachers from
California?
O Yes
O No
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