Homework SourseFor each of the following scenarios please select one of the
For each of the following scenarios, please select one of the following types of inference that would be appropriate. You can assume that each type of inference covers either the parametric or non-parametric method we covered in class.
Types of Inference:
1. One sample mean (center/distributional difference)
2. Difference in means (center/distributional difference), two independent samples
3. Mean (center/distributional difference), matched pairs
4. One sample proportion
5. Difference in Proportions
6. 1-way ANOVA
7. 2- way ANOVA
8. Regression
9. Goodness of Fit Test
10. Chi-Square Test of Independence
Thirty male college students were randomly divided into three groups of 10, and the groups received different doses of caffeine (0, 100, and 200mg). Two hours after consuming the caffeine each participant tapped a finger as rapidly as possible and the number of taps per minute was recorded.
The Department of Health for a Midwestern state conducted an observational study in which users of public restrooms at several sites throughout the state were discreetly observed. Of the 634 females observed, 476 washed their hands. Of the 561 males observed, 326 washed their hands.
In a recent study, researchers are examining the relationship between the maximum distance (in feet) at which a driver can read a highway sign and the age of the driver.
A customer group wants to verify a company’s claim that its mixture of colors in its chocolate candies is 13% brown, 14% yellow, 13% red, 24% blue, 20% orange and 16% green.
Suppose a large labor union wishes to estimate the mean number of hours per month a union member is absent from work. The union decides to sample 343 of its members at random and monitor the working time of each of them for 1 month. At the end of the month, the total number of hours absent from work is recorded for each employee.
Solution
Thirty male college students were randomly divided into three groups of 10, and the groups received different doses of caffeine (0, 100, and 200mg). Two hours after consuming the caffeine each participant tapped a finger as rapidly as possible and the number of taps per minute was recorded.
10. Chi-Square Test of Independence
The Department of Health for a Midwestern state conducted an observational study in which users of public restrooms at several sites throughout the state were discreetly observed. Of the 634 females observed, 476 washed their hands. Of the 561 males observed, 326 washed their hands.
5. Difference in Proportions
is difference in proportion because we have 2 proportion and we need to know the difference of those proportions
In a recent study, researchers are examining the relationship between the maximum distance (in feet) at which a driver can read a highway sign and the age of the driver.
8. Regression
is regression because we want to know the relationship between 2 variables
A customer group wants to verify a company’s claim that its mixture of colors in its chocolate candies is 13% brown, 14% yellow, 13% red, 24% blue, 20% orange and 16% green.
9. Goodness of Fit Test
this is goodness of fit test because we have different proportion of the same sample to very the claim
Suppose a large labor union wishes to estimate the mean number of hours per month a union member is absent from work. The union decides to sample 343 of its members at random and monitor the working time of each of them for 1 month. At the end of the month, the total number of hours absent from work is recorded for each employee.
1. One sample mean (center/distributional difference)
we only have one sample and we need to verify the hypothesis of one sample
