1) Select two variables that interest you and are ratio/interval level of data.

Question

1) Select two variables that interest you and are ratio/interval level of data. Choose variables that you believe might be related to one another, you will use these variables for the remaining problems in this assignment. (If at any point you realize that the variables you selected do not work well for the subsequent problems in this assignment, feel free to come back and modify your answers to this question). For example, you may be interested in the relationship between grade point average (GPA) and the number hours of TV a student watches per week.

2) Regarding the variables that you selected in question 1, who is your population that you’re interested in studying? In order to obtain a representative sample, what characteristics would be important to ensure that they mirror the proportions found in the population (identify two characteristics). Why would it be important to ensure those other population characteristics are mirrored in the sample, that is, what would be the consequences of not having a representative sample?

3) Regarding the two variables that you identified, what type of distribution shape would be most likely and why (for each variable)? (i.e., symmetrical, positive skew, negative skew, or linear)

4) Of the various statistical tests you learned about, what test would be most appropriate to understand the relationship between the two variables that you identified in question 1? (i.e., z test, t test, ANOVA, correlation) Why is this test the best fit to understand the relationship between these two variables?

5) What would the null hypothesis be for the variables identified in question 1 (according to the statistical test identified in question 4)?

6) What would be alternative hypothesis be for the variables identified in question 1 (according to the statistical test identified in question 4)?

Explanation / Answer

answering Q1 as per Chegg policies

1) The two variables of concern are the number of hours spent on study and IQ score. Both of these variables are measured on ratio scale of measurement. I want to test the linear Association between the number of hours spent on study and IQ score.

2) my population of concern is all the students in the United Kingdom. I use the method of cluster sampling to select my sample. the sample size is selected on the basis of the margin of error and confidence level. I select all students studying at London School of Economics. characteristics of the sample are that the unit should be a student and should be devoting at least 15 minutes daily for study. if the sample is not a good percentage of the population then my results on the basis of the sample will not be reliable and validate.

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