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?

1. What is H₀? ___________
2. What is H₁? ___________
3. What is a?___________
4. How many tails?___________
5. What is n?___________
6. What is x?___________
7. What is sx?___________
8. How many degrees of freedom are there?___________
9. Determine t_c.___________Find the t-statistic t.___________
10. Make a sketch on the back of the t-distribution including µ, ± t_c, the t-statistic, and the area in the tails.
11. Do we reject H₀ or do we fail to reject H₀?___________
12. Are Nike shoes significantly different in price than other brands of running shoes?______
13. 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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