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College students throw out an average of 640 pounds of trash each year, $30 \%$ of that in the month before graduation, according to the Reader's Digest article "Campus Castoffs." To estimate the amount of trash discarded by the students at State University, 18 students were randomly selected and carefully monitored for one year. The amounts of trash discarded had a mean of 559.9 lbs and a standard deviation of 158.6 Ibs. Does State University have sufficient evidence that their students' mean amount of trash is significantly lower than the mean amount from all colleges? Assume normality and use a 0.05 level of significance.

$H_{a^{*}} \mu<640 ; t \star=-2.14$

$0.01<\mathbf{P}<0.025 ; t \leq-1.74 ;$ Reject $H_{o}$

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Hi. This question we have Ah, Cletus. So the alternative is that mule is less than 600 foi? Um so, using many tab, you'll find that t distribution t statistics Zico Toe minus two, boy 14 on the tee, critical value is equal toe minus 1.74 So, geographically, his mind prediction area on I happened to be here. So the conclusion as rejected the no Onda we can claim that the mean is this dance 600 employees.

University of Pittsburgh - Main Campus

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