Reference no: EM1377685
Past records suggest that mean yearly income (m1) of teachers in the state of New York is less than or equal to mean yearly income (m2) of teachers in Rhode Island. In a current study a random sample of 15 teachers from New York and an independent random sample of 15 teachers from Rhode Island have been asked to report their mean annual income. The data obtained are as follows:
New York: 51614, 36867, 56003, 46662, 52390, 50655, 39113, 39028, 46489, 44788, 46501, 43710, 49290, 51062, 41334
Rhode Island: 39031, 45596, 46928, 42151, 37183, 49537, 53016, 46276, 53548, 50097, 54466, 48283, 48385, 50275, 54336.
The population standard deviation for mean annual income of teachers in New York and in Rhode Island are estimated as 6400 and 6600 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 New York is less than or equal to the mean annual income of teachers in Rhode Island? Perform a one tailed test.
H0 is
H1 is
The type of test statistic is a Z statistic
The value of the test statistic is (round to at least three decimal places)
The p-value is (round to at least three decimal places)
Can we reject the claim that the mean annual income of teachers from New York is less than or equal to the mean annual income of teachers from Rhodes Island?
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