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Definition

Definition. Sampling distribution of Shape: Normal as long as normal conditions met Center Spread. Definition. Two sample t distribution of Must check Conditions Random Normal Both populations are normal Or both n’s are .30 Independent Check 10% condition Degrees of Freedom

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Definition

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  1. Definition • Sampling distribution of • Shape: • Normal as long as normal conditions met • Center • Spread

  2. Definition • Two sample t distribution of • Must check Conditions • Random • Normal • Both populations are normal • Or both n’s are .30 • Independent • Check 10% condition • Degrees of Freedom • Use smaller or two values from sizes of samples • Do not use (n-1)+(n-1)

  3. CI Example Do plastic bags from Target or plastic bags from Walmart hold more weight? A group of AP Stats students decided to investigate by filling a random sample of 5 bags from each store with common grocery items until the bags ripped. Then they weighed the contents of the items in each bag to determine its capacity. Here are their results in grams Target: 12572, 13999, 11215, 15447, 10896 Walmart: 9552, 10896, 6983, 8767, 9972 Construct and interpret a 99% CI for the difference in mean capacity of the plastic grocery bags from Target and Walmart Does your interval provide convincing evidence that there is a difference in the mean capacity between the two stores?

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