Question

1. A student researcher works at ski resort. For a student project, they would like to know whether the proportion of skiers on a particular day is about the same as the proportion of snowboarders. They take a stratified random sample, looking at each of the 3 chair lifts and randomly selecting every other chair of people to mark whether they are a skier (1) or a snowboarder (0). Which test is most appropriate to test whether the proportion of skiers is not 0.50?

           [ Choose ] Two Sample t test Matched Pairs t test Multiple Regression Analysis Simple Linear Regression Single-factor ANOVA One Proportion z Test         

2. A team of engineers perform an experiment to test the strength of four cable types made from different materials. They would like to see whether any of the cable types have an average strength that is stronger than the others. They test the strength of seven cables for each cable type and compare the averages of the four groups. What type of procedure is appropriate to tell if there is a difference between the average strength between the cable types?

           [ Choose ] Two Sample t test Matched Pairs t test Multiple Regression Analysis Simple Linear Regression Single-factor ANOVA One Proportion z Test         

3. In order to attract wasps into a trap, a group of researchers are interested in the effectiveness of two different types of wasp attractants. They set up an experiment with “Wasp Bait A” and “Wasp Bait B” and randomly assign 40 identical traps to receive one of two attractants. After a significant time period, the average number of wasps per trap are compared between the two attractants. What procedure will best test the difference in the average number of trapped wasps among the two attractants?

           [ Choose ] Two Sample t test Matched Pairs t test Multiple Regression Analysis Simple Linear Regression Single-factor ANOVA One Proportion z Test         

4. Often students claim they forget much of the information they learn from a course soon after the course ends. In an educational study, researchers would like to estimate the average difference in scores from a test taken at the conclusion of a course and again 6 months after the conclusion of the course. Specifically, they would like to see whether the average difference between the two test scores is other than 0. What type of procedure is appropriate for this scenario?

           [ Choose ] Two Sample t test Matched Pairs t test Multiple Regression Analysis Simple Linear Regression Single-factor ANOVA One Proportion z Test         

5. A real estate website would like to build a model and test to see which factors are good at predicting the selling price of homes on their site. They would like to predict house sale price based on several factors including number of bedrooms, number of bathrooms, age of home, square footage and more. What type of analysis would be appropriate for this scenario?

           [ Choose ] Two Sample t test Matched Pairs t test Multiple Regression Analysis Simple Linear Regression Single-factor ANOVA One Proportion z Test

Answer 1

A student researcher works at ski resort. For a student project, they would like to know whether the proportion of skiers on a particular day is about the same as the proportion of snowboarders. They take a stratified random sample, looking at each of the 3 chair lifts and randomly selecting every other chair of people to mark whether they are a skier (1) or a snowboarder (0). Which test is most appropriate to test whether the proportion of skiers is not 0.50?

One Proportion z Test - Since we need to check if the proportion of skiers is equal to 0.5 or not.

A team of engineers perform an experiment to test the strength of four cable types made from different materials. They would like to see whether any of the cable types have an average strength that is stronger than the others. They test the strength of seven cables for each cable type and compare the averages of the four groups. What type of procedure is appropriate to tell if there is a difference between the average strength between the cable types?

Single-factor ANOVA - Since here we need to check if there is different in the mean strength of the wire. In anova the null hypothesis is that all the wire have the same mean strength. The alternative hypothesis is that at least one of them has a mean strength different from the other.   

In order to attract wasps into a trap, a group of researchers are interested in the effectiveness of two different types of wasp attractants. They set up an experiment with “Wasp Bait A” and “Wasp Bait B” and randomly assign 40 identical traps to receive one of two attractants. After a significant time period, the average number of wasps per trap are compared between the two attractants. What procedure will best test the difference in the average number of trapped wasps among the two attractants?

Two Sample t test - Since we need to check if the difference in the average is equal to zero or not.

Often students claim they forget much of the information they learn from a course soon after the course ends. In an educational study, researchers would like to estimate the average difference in scores from a test taken at the conclusion of a course and again 6 months after the conclusion of the course. Specifically, they would like to see whether the average difference between the two test scores is other than 0. What type of procedure is appropriate for this scenario?

Matched Pairs t test - Here each student takes the test at the start of the course and after 6 month of the end of the course. Since the performance of the same student is compared we use the match pair t test.

A real estate website would like to build a model and test to see which factors are good at predicting the selling price of homes on their site. They would like to predict house sale price based on several factors including number of bedrooms, number of bathrooms, age of home, square footage and more. What type of analysis would be appropriate for this scenario?
Multiple Regression Analysis- since we need to predict the price based on multiple independent variabls.