The MLB (Major League BaseballI) claims a 12-ounce beer costs, on average, $4.05 at the 30 stadiums across the league. To test this claim you call the head of beer vending at 3 randomly selected stadiums. You learn: Beer Price Stadium 5.00 Camden Yards (Baltimore) 4.00 Kauffman Stadium (Kansas City) 4.00 Comerica Park (Detroit) a) Write down the Null and Alternative Hypotheses based on the MLB's claim. b) Formulate the decision rule for the test and state it here. Use an alpha of 0.10. c) Using your sample, run the test and make a decision.

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The MLB (Major League Baseball) claims a 12-ounce beer costs, on average, $4.05 at the 30 stadiums across the league.
To test this claim you call the head of beer vending at 3 randomly selected stadiums. You learn:
Beer Price
Stadium
5.00
Camden Yards (Baltimore)
4.00
Kauffman Stadium (Kansas City)
4.00
Comerica Park (Detroit)
a) Write down the Null and Alternative Hypotheses based on the MLB's claim.
b) Formulate the decision rule for the test and state it here. Use an alpha of 0.10.
c) Using your sample, run the test and make a decision.
d) Interpret your results in the context of your hypotheses from part a.
Transcribed Image Text:The MLB (Major League Baseball) claims a 12-ounce beer costs, on average, $4.05 at the 30 stadiums across the league. To test this claim you call the head of beer vending at 3 randomly selected stadiums. You learn: Beer Price Stadium 5.00 Camden Yards (Baltimore) 4.00 Kauffman Stadium (Kansas City) 4.00 Comerica Park (Detroit) a) Write down the Null and Alternative Hypotheses based on the MLB's claim. b) Formulate the decision rule for the test and state it here. Use an alpha of 0.10. c) Using your sample, run the test and make a decision. d) Interpret your results in the context of your hypotheses from part a.
e) Before looking at the data your Grandpa, a life-long baseball fan, starts ranting about how the MLB is lying and it
must be higher than $4.05. (He then goes on a long-winded rant about what prices were when he was young,
you tune it out and go back to your data.)
--Write down the Null and Alternative Hypotheses based on your Grandpa's rant (Hint: this should be slightly
different than in part a.)
f) Formulate the decision rule for testing your Grandpa's statement. Again, use an alpha of 0.10.
g) Using your sample, run the test and make a decision.
h) Interpret your results in the context of your hypotheses from part e.
Transcribed Image Text:e) Before looking at the data your Grandpa, a life-long baseball fan, starts ranting about how the MLB is lying and it must be higher than $4.05. (He then goes on a long-winded rant about what prices were when he was young, you tune it out and go back to your data.) --Write down the Null and Alternative Hypotheses based on your Grandpa's rant (Hint: this should be slightly different than in part a.) f) Formulate the decision rule for testing your Grandpa's statement. Again, use an alpha of 0.10. g) Using your sample, run the test and make a decision. h) Interpret your results in the context of your hypotheses from part e.
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One Sample t – test:

One sample t-test statistic is computed when the population standard deviation is unknown. It compares the population mean to the sample mean. The test assumes that the data are taken randomly and it should be independent. Also, the data should be normally distributed. The t-test can be computed by

t = x¯ - μs2n

where,

     μ - population mean

     x ¯ - sample mean

     s - sample standard deviation

     n - sample observation

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