Susan and Tom are visiting a store at the Miami Dolphins game where they will randomly choose one of the following four shirts:
Shirt |
Cost |
||
COACH T-Shirt (B) |
$18 |
||
QUARTERBACK T-Shirt (N) |
$20 |
||
MVP T-Shirt (P) |
$22 |
||
ALL STAR T-Shirt (E) |
$24 |
||
A. Define the population as the four shirts and a sample of size two as the t-shirt that Susan chooses and the t-shirt that Tom chooses.
B. Identify the frequency distribution for the population
C. Identify the frequency distribution for all combinations of sample means for Susan and Tom choosing a shirt
D. Verify that the population mean and mean of all possible sample means are equal
E. Calculate the standard error of the mean
Please show your work using only numbers for each part (a-e) of the problem. Show all charts/tables.
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