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Chapter 10 – exercise 42
During recent seasons, Major League Baseball has criticized for the length of the games. A report indicated that the average game lasts 3 hours and 30 minutes. A sample of 17 games revealed the following times to completion. (Note that the minutes have been changes to fractions of hours, so that a game that lasted 2 hours and 24 minutes is reported at 2.40 hours.)
2.98     2.40     2.70     2.25    &nb sp;3.23     3.17     2.93     3.19     2.80
2.38      3.75     3.20     3.27     2.52     2.58     4.45     2.45     

Can we conclude that the mean time for a game is less than 3.50 hours? Use the .05 significance level.
Chapter 11 – exercise 58
The amount of income spent on housing is an important component of the cost of living. The total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity). An economist selected a sample of 20 homeowners in New England and then calculated these total housing costs as a percent of monthly income, five years ago and now.

Submitted: 110 days and 8 hours ago.
Category: Math
Value: $9
Status: CLOSED

Accepted Answer



Null hypothesis H0: µ=3.5

Alternative hypothesis H1: µ<3.5



the sample mean and standard deviation are 2.956 and 0.56 respecctively.

t-statistics=(2.956-3.5)/0.56*sqrt(17)=-4

critical value=-t(0.05,16)=-1.746

since t-statistics<-1.746, we can reject null hypothesis and conclude that the mean time for a game is less than 3.50 hours



need more information for next question.


Edited by muvee on 8/3/2009 at 2:54 AM

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Expert: muvee
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Answered: 8/3/2009

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