# 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.

#### 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.