Problem-Solving and Data Analysis

Chief Editor

Mar 27, 2024

Take all 3 MCQs in interactive quiz mode with timer and progress tracking

The cost of a certain shirt is $20 before a 5% sales tax is added. What is the total cost, including sales tax, to purchase the shirt?

Difficulty: Easy

$20.05

$20.50

$21.00

$25.00

A park ranger asked a random sample of visitors how far they hiked during their visit. Based on the responses, the estimated mean was found to be 4.5 miles, with an associated margin of error of 0.5 miles. Which of the following is the best conclusion from these data?

Difficulty: Medium

It is likely that all visitors hiked between 4 and 5 miles.

It is likely that most visitors hiked exactly 4.5 miles.

It is not possible that any visitor hiked less than 3 miles.

It is plausible that the mean distance hiked for all visitors is between 4 and 5 miles.

For the finale of a TV show, viewers could use either social media or a text message to vote for their favorite of two contestants. The contestant receiving more than 50% of the vote won. An estimated 10% of the viewers voted, and 30% of the votes were cast on social media. Contestant 2 earned 70% of the votes cast using social media and 40% of the votes cast using a text message. Based on this information, which of the following is an accurate conclusion?

Difficulty: Medium

If all viewers had voted, Contestant 2 would have won.

Viewers voting by social media were likely to be younger than viewers voting by text message.

If all viewers who voted had voted by social media instead of by text message, Contestant 2 would have won.

Viewers voting by social media were more likely to prefer Contestant 2 than were viewers voting by text message.