Multiple Choice Questions: 1. For questions 1-5 use a normal random variable X with mean sixty and
Question:
Multiple Choice Questions:
1. For questions 1-5 use a normal random variable X with mean sixty and standard deviation six.
Calculate the Z-score for x = 52.
a. 1.33 b. 0.4082
c. –1.33
d. 0.0918
e. not given
2. Determine the value of x that is equivalent to a Z-score of 1.96.
a. 67.96
b. 61.96
c. 48.24
d. 76.71
e. not given
3. Find the probability that x is between forty-five and seventy.
a. 0.9587
b. 0.0062
c. 0.0537
d. 0.9463
e. not given
4. Give the probability that x is at most 78.5.
a. 0.999
b. 0.4990
c. 3.08
d. 0.001
e. not given
5. What is the value of x such that P (X < x) is 0.3023?
a. 0.85
b. 52.9
c. 65.1
d. –0.85
e. not given
6. Look up the value for P(Z>1.96).
a. 0.9750
b. 0.4500
c. 0.0250
d. 0.4750
e. not given
7. Which value for z satisfies P(Z
a. –0.44
b. 0.954
c. 0.44
d. 0.7486
e. not given
8. Choose the correct standard error for x-bar if s^2 = 5.4756 and n = 36.
a. 0.5121
b. 0.39
c. 0.9126
d. 0.065
e. not given
9. Calculate the z-score for x = 58 if x-bar is 70 and s is 5.
a. 0.0082
b. –2.4
c. 2.4
d. –0.4918
e. not given
10. Determine P(-1.23
a. 0.3907
b. 0.1736
c. 0.5643
d. 0.2171
e. not given
11. In a population of normally distributed aptitude scores of 1000 academy students with mean 70 and
Standard deviation 10, how many score above 95?
a. 494
b. 6
c. 25
d. 250
e. not given
12. The z-score for x-bar = 2.7, mu = 3, s = 0.1, and n = 100 is:
a. –30
b. –3
c. –0.3 d. 3
e. not given
13. Find a 95% confidence interval for mu if s = 5.26, x-bar = 70.1, and n = 49.
a. 70.1+/-0.2104
b. 70.1+/-1.2361
c. 70.1+/-1.4728
d. 70.1+/-1.6772
e. not given
14. Compute a 99% confidence interval for mu if x-bar = 16.3, s = 1.5, and n = 25.
a. 16.3+/-0.8391
b. 16.3+/-0.774
c. 16.3+/-0.8361
d. 16.3+/-0.16782
e. not given
15. Assume Ho: mu
a. 1.414
b. 0.483
c. 0.017
d. 2.12
e. not given
16. A company claims a mean battery life of 42 months. A sample of 36 yields a mean of 39 months with a standard deviation of 7 months. Test the null hypothesis, Ho: mu >/=42 with alpha 0.05.
a. Fail to reject Ho
b. Reject Ho
c. Fail to reject Ha
d. Reject Ha e. not given
Probability & Statistics for Engineers & Scientists
ISBN: 978-0130415295
7th Edition
Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying