MS 150 Statistics Fall 2001 Quiz Eleven: Beyond 9.4
Running shoes from major manufacturers this Fall have a
population mean price of $85.93. Twelve Nike shoes this Fall have
a sample mean price of $96.25 with a standard deviation of $18.36.
For a two tail hypothesis test at an alpha a
of 0.10 is this price difference significant?
 What is H_{0}? ___________
 What is H_{1}? ___________
 What is a?___________
 How many tails?___________
 What is n?___________
 What is x?___________
 What is sx?___________
 How many degrees of freedom are there?___________
 Determine t_{c}.___________Find the tstatistic t.___________
 Make a sketch on the back of the tdistribution including
µ, ± t_{c}, the tstatistic, and the area in
the tails.
 Do we reject H_{0} or do we fail to reject H_{0}?___________
 Are Nike shoes significantly different in price than
other brands of running shoes?______
 Are Nike shoes more expensive than other brands of
shoes?______
Statistic or Parameter 
Symbol 
Equations 
Excel 
Hypothesis Testing 
Calculate a tstatistic (tstat) 
t 


Calculate tcritical for a twotailed test 
t_{c} 

=TINV(a,df) 
Calculate tcritical for a onetailed test 
t_{c} 

=TINV(2*a,df) 
Calculate a pvalue from a tstatistic 
p 

= TDIST(ABS(tstat),df,#tails) 
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