Question
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
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 for adults ages 25 to 34 with a college degree is greater than for those adults ages 25 to 34 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. Assuming the conditions needed for the hypothesis test have been met, what is thez
test statistic for this hypothesis test, rounded to two decimal places?
With College DegreeWithout College Degreex
x1=$6,312.91
n1=271
x2=$5,483.15
n2=315
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