# A used car dealer says that the mean price of a three-year-old sport utility vehicle in good condition is $18,000.

A random sample of 20 such vehicles has a mean price of $18,450 and a standard deviation of $1050. At α=0.08, can the dealer’s claim be supported?

Yes, since the test statistic of 1.92 is in the rejection region defined by the critical value of 1.46, the null is rejected. The claim is the null, so is supported

No, since the test statistic of 1.92 is close to the critical value of 1.24, the null is not rejected. The claim is the null, so is supported

Yes, since the test statistic of 1.92 is not in the rejection region defined by the critical value of 1.85, the null is not rejected. The claim is the null, so is supported

No, since the test statistic of 1.92 is in the rejection region defined by the critical value of 1.85, the null is rejected. The claim is the null, so is not supported

A researcher wants to determine if eating more vegetables helps high school juniors learn algebra. A junior class is divided into pairs and one student from each pair has extra vegetables and the other in the pair does not. After 2 weeks, the entire class takes an algebra test and the results of the two groups are compared. To be a valid matched pair test, what should the researcher consider in creating the two groups?

That each pair of students has similar ages at the time of the testing

That the group with the extra vegetables also has more sweets

That the group without extra vegetables receives different instruction

That each pair of students has similar IQs or abilities in mathematics

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