# slide4 - Diff of Means Var unknown Null hypothesis H 0 1 2...

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• nizhes
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1 Diff of Means, Var unknown Null hypothesis: Test statistic: 0 1 2 0 : H μ μ - = ∆ ( 29 ( 29 2 2 2 1 1 2 2 1 2 0 0 1 2 1 2 1 1 , 2 1 1 p p n S n S X X T S n n S n n - + - - - ∆ = = - - + Degrees of freedom 2 2 1 2 σ σ =

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2 Diff of Means, Var unknown Null hypothesis: Test statistic: 0 1 2 0 : H μ μ - = ∆ ( 29 ( 29 2 2 2 1 2 1 2 1 2 0 0 2 2 2 2 2 2 1 2 1 1 2 2 1 2 1 2 , 2 1 1 S S n n X X T S S S n S n n n n n ν + - - ∆ = = - + + + + Degrees of freedom 2 2 1 2 σ σ
3 M&M Example Bob purchases packets of M&Ms on a  regular basis from two locations: Easton  and Allentown.  He wonders if, on  average, he gets the same number of  M&Ms in each packet from the Easton  store as he does from the Allentown  store.  Over the next few months, Bob  carefully counts the number of M&Ms in  each packet he buys.

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4 M&M Example cont… He finds from the 10 packets he bought  from the Easton store that there was an  average of 28 M&Ms per packet with a  sample standard deviation of 2.45.   From the 12 packets he bought from the  Allentown store, there was an average  of  30 M&Ms with a sample standard  deviation of 2.0.
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