Question

From past studies, the average time college freshmen spend studying in 22 hours per week. The standard deviation is 4 hours. This year, 60 students were surveyed, and the average time that they spent studying was 20.8 hours. Test the claim that the time students spend studying has not changed. Use a=1%

Answer 1

= 22

= 4

n = 60

= 20.8

H₀: = 22

H₁: 22

Since n > 30, we can assume normal distribution of sample means.

z = ( - )//

= (20.8-22)/4/

= -2.324

p-value = 0.02 > 0.01 () i.e. we fail to reject H₀ and thus we can say that there is significant evidence to claim that the time spent by freshmen on studying has not changed.

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