Lydia Hayward is an external research consultant hired by FirstCard, a major credit card company, to find evidence that the population mean total credit card balance is greater for adults ages 25 to 34 with a college degree than for those without a college degree. Due to research already conducted by FirstCard, Lydia assumes that the population standard deviation is $2,047.24 for adults ages 25 to 34 with a college degree and $1,749.65 for those without a college degree. She conducts a survey and randomly selects adults ages 25 to 34 with a college degree and those without a college degree to ask for their total credit card balance. The results of the samples are shown in the table below. Let μ1 be the population mean total credit card balance for adults ages 25 to 34 with a college degree and μ2 be the population mean total credit card balance for adults ages 25 to 34 without a college degree. What type of test is this hypothesis test? Select the correct answer below: A) This is a left-tailed test because the alternative hypothesis is Ha:μ1−μ2<0. B) This is a left-tailed test because the alternative hypothesis is Ha:μ1−μ2>0. C) This is a two-tailed test because the alternative hypothesis is Ha:μ1−μ2≠0. D) This is a right-tailed test because the alternative hypothesis is Ha:μ1−μ2>0. E) This is a right-tailed test because the alternative hypothesis is Ha:μ1−μ2<0.
Lydia Hayward is an external research consultant hired by FirstCard, a major credit card company, to find evidence that the population mean total credit card balance is greater for adults ages 25 to 34 with a college degree than for those without a college degree. Due to research already conducted by FirstCard, Lydia assumes that the population standard deviation is $2,047.24 for adults ages 25 to 34 with a college degree and $1,749.65 for those without a college degree. She conducts a survey and randomly selects adults ages 25 to 34 with a college degree and those without a college degree to ask for their total credit card balance. The results of the samples are shown in the table below. Let μ1 be the population mean total credit card balance for adults ages 25 to 34 with a college degree and μ2 be the population mean total credit card balance for adults ages 25 to 34 without a college degree. What type of test is this hypothesis test?
Select the correct answer below:
A) This is a left-tailed test because the alternative hypothesis is Ha:μ1−μ2<0.
B) This is a left-tailed test because the alternative hypothesis is Ha:μ1−μ2>0.
C) This is a two-tailed test because the alternative hypothesis is Ha:μ1−μ2≠0.
D) This is a right-tailed test because the alternative hypothesis is Ha:μ1−μ2>0.
E) This is a right-tailed test because the alternative hypothesis is Ha:μ1−μ2<0.
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