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Information: 1) The two variables of concern are the number of hours spent on st

ID: 3048956 • Letter: I

Question

Information:

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.

Question:

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

Based on question 1

4) Here, we would use correlation since that would check about the linear association amongst the two variables. This test is best fit because it would help us analyse whether there exists a linear association amongst the two variables

5) Null hypothesis would be hours spent on study affects IQ score

6) Alternate hypothesis would be hours spent on study does not affect IQ score