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 H0? ___________
- What is H1? ___________
- What is a?___________
- How many tails?___________
- What is n?___________
- What is x?___________
- What is sx?___________
- How many degrees of freedom are there?___________
- Determine tc.___________Find the t-statistic t.___________
- Make a sketch on the back of the t-distribution including
µ, ± tc, the t-statistic, and the area in
the tails.
- Do we reject H0 or do we fail to reject H0?___________
- 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 t-statistic (tstat) |
t |
|
|
Calculate t-critical for a two-tailed test |
tc |
|
=TINV(a,df) |
Calculate t-critical for a one-tailed test |
tc |
|
=TINV(2*a,df) |
Calculate a p-value from a t-statistic |
p |
|
= TDIST(ABS(tstat),df,#tails) |
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