4/21/2016 Chapter 9 Test 15. The number of hours 10 students spent studying for
ID: 3156984 • Letter: 4
Question
4/21/2016 Chapter 9 Test 15. The number of hours 10 students spent studying for a test and their scores on that test are shown in the table. Is there enough evidence to conclude that there is a significant linear correlation between the data? Use = 0.01 Hours, x lest score, y 4 55 60 70 71 7 78 80 92 2 40 43 51 Click here to view a table of critical values for Student's t-distribution Setup the hypothesis for the test Ho: (1) Ha, p (2) Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) O A. The critical values are-t O B. The critical value is and to Calculate the test statistic. (Round to three decimal places as needed.) What is your conclusion? There (5) enough evidence at the 1% level of significance to conclude that there a significant linear cormelation between hours spent studying and test score 13: Data Table https:llxlitem prod.pearsoncmg.com/apiM1/print/math 16/28Explanation / Answer
15.
A)
Ho: rho = 0
Ha: rho =/= 0 [ANSWER]
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b)
As
As alpha = 0.01
df = n -2 = 10 - 2 = 8
Then
OPTION A: the critical values are -to = -3.355 and to = 3.355. [ANSWER]
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c)
Also, getting the correlation,
r = 0.9798141
Thus, the coefficient of determination is
r^2 = 0.96003567
As t = r sqrt [(n - 2) / (1 - r^2)], then for n = 10,
t = 13.86284644 [ANSWER]
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As t > 3.355, we reject Ho, then the correlation is significant.
Conclusion:
5. IS
6. IS [ANSWER]
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