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MCQs: Normal Probability & Regression Analysis

12. Find the area under the normal distribution curve to the right of z = -3.24. (Points : 1)
0.499
-0.499
0.999
0.001

13. Use a scatter plot to deternine the relationship between the x values and the y values.
(Points : 1)
No relationship
Nonlinear relationship
Positive linear relationship
Negative linear relationship

14. The average hourly wage of employees of a certain company is $9.83. Assume the variable is normally distributed. If the standard deviation is $4.58, find the probability that a randomly selected employee earns less than $5.43. (Points : 1)
0.313 = 31.3%

0.332 = 33.2%

0.168 = 16.8%

0.345 = 34.5%

15. Find the area under the normal distribution curve between z = -1.34 and z = 2.95. (Points : 1)
0.908
0.088
0.410
0.498

16. Find the equation of the regression line.
(Points : 1)
y = -1.2 + 2.4x
y = 1.2 + 2.4x
y = 2.4 + 1.2x
y = -2.4 + 1.2x

18. Determine whether a correlation coefficient of r = -0.405 is significant at the 5% level for a sample size of 22. (Points : 1)
r is not significant at 5%.
r is significant at 5%.

19. Find the area under the normal distribution curve between z = 1.52 and z = 2.43. (Points : 1)
0.929
0.436
0.493
0.057

6. Use the equation of the regression line to predict y when x = 20.
(Points : 1)
45.5
50
40
48.5

7. Find the area under the normal distribution curve to the right of z = -1.03. (Points : 1)
0.151
-0.349
0.349
0.849

9. Find the value for the correlation coefficient r.
(Points : 1)
-0.073
-0.094
-0.203
-0.149

10. A data set of size 19 has correlation coefficient of r = -0.432. Test the significance of r at the 5% level and at the 1% level. (Points : 1)
r is significant at 5% and at 1%.
r is significant at 5%, but not at 1%.
r is is not significant at 5% or at 1%.

Please see the attachment.

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Solution Summary

The solution provides answers to multiple choice questions on normal probability, regression analysis and correlation coefficient. Formula for the calculation and relevant workings are also included.

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