The standard error of the differences , and x, is about SE = 1.667. Use the normal distribution to test, at the 5% level, if male students at this university watch, on average, more television than female students. Include all details of the test.

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There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked
how many hours of television they watch each week. The nm = 13 male students watched an average of 6 hours of television per week
with standard deviation 4.24 hours. The ng = 11 female students watched an average of 3.91 hours of television per week with a
standard deviation of 3.48 hours. Assume that the students enrolled in the statistics class are representative of all students at the
university.
The standard error of the differences , and x, is about SE = 1.667. Use the normal distribution to test, at the 5% level, if male
students at this university watch, on average, more television than female students. Include all details of the test.
z =
i
p-value =
i
There is
evidence that males at this university watch significantly more television, on average, than female students.
Transcribed Image Text:There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. The nm = 13 male students watched an average of 6 hours of television per week with standard deviation 4.24 hours. The ng = 11 female students watched an average of 3.91 hours of television per week with a standard deviation of 3.48 hours. Assume that the students enrolled in the statistics class are representative of all students at the university. The standard error of the differences , and x, is about SE = 1.667. Use the normal distribution to test, at the 5% level, if male students at this university watch, on average, more television than female students. Include all details of the test. z = i p-value = i There is evidence that males at this university watch significantly more television, on average, than female students.
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