Discuss the below:
Q1: In order for applicants to work for the state department, they must take a test in the language of the country where they plan to work.The data below shows the relationship between the number of years that applicants have studied a particular language and the grades they received on the proficiency exam.
Applicant # 1 2 3 4 5 6 7 8 9
Years, x 4 5 5 6 4 7 3 8 4
Grades, y 62 69 76 83 74 91 59 94 73
Find the mean years for study for the 9 randomly selected applicants. Show the formula that you will use and then calculate the mean age.
Q2: Interpret the type of correlation by completing the table and calculating the correlation coefficient r rounded to the nearest three decimal places. Interim rounding should be four decimal places.
x y xy x2 y2
4 62
5 69
5 76
6 83
4 74
7 91
3 59
8 94
4 73
Use the last row of the table to show the column totals.
Interpret the type of correlation:
Using the r calculated, test the significance of the correlation coefficient using α= 0.01 and the claim k = 0. Design the test using the 7-steps hypothesis test.
1. Find the test statistic t.
2. Find the critical t0
3. Define the rejection region.
4. State the statistical decision.
5. Application interpretation.