A math instructor claims that college women have more credit card debt than college men. She conducts a random sample of 38 college men and 32 college women, determines their average credit card debt, and obtains the following statistics in the picture: Test the claim that college women have more credit card debt than college men at the α = .05 level of significance. Assume unequal variances. a. Hypotheses: b. Test Statistic: c. Critical Value(s): d. Decision: e. Conclusion:

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A math instructor claims that college women have more credit card debt than college men. She conducts a random sample of 38 college men and 32 college women, determines their average credit card debt, and obtains the following statistics in the picture: Test the claim that college women have more credit card debt than college men at the α = .05 level of significance. Assume unequal variances. a. Hypotheses: b. Test Statistic: c. Critical Value(s): d. Decision: e. Conclusion: ​ ​​​​
women
n₁ = 32
x₁ = 781
S₁ = 1489
men
n₂ = 38
x₂ = 435
S₂ = 1026
Transcribed Image Text:women n₁ = 32 x₁ = 781 S₁ = 1489 men n₂ = 38 x₂ = 435 S₂ = 1026
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