Math Problem Statement
An annual championship event is the most widely watched sporting event in a country each year. In recent years, there has been a great deal of interest in the ads that appear during the game. These ads vary in length with most lasting 30 seconds or 60 seconds. The accompanying data represent the ad length and ad scores from a recent championship. Complete parts (a) through (c).
30-Second Ads 60-Second Ads
41 68
24 52
39 56
38 50
43 56
50 29
21 37
40 33
59 44
56 70 Find the critical value(s).
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(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Hypothesis Testing
T-Test
Formulas
Degrees of freedom: df = ((s1^2/n1 + s2^2/n2)^2) / (((s1^2/n1)^2)/(n1 - 1) + ((s2^2/n2)^2)/(n2 - 1))
T-distribution critical value calculation
Theorems
Central Limit Theorem
T-Distribution
Suitable Grade Level
Undergraduate (Statistics 101)
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