Math 1140 - Introduction to Statistics » Summer 2021 » Quiz 4
Need help with your exam preparation?
Get Answers to this exam for $6 USD.
Get Answers to all exams in [ Math 1140 - Introduction to Statistics ] course for $25 USD.
Existing Quiz Clients Login here
Question #1
Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 99% confidence; n = 5900, x = 1770
A.
0.0154
B.
0.00878
C.
0.0117
D.
0.0135
Question #2
Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ. Assume that the population has a normal distribution. Round the confidence interval limits to the same number of decimal places as the sample standard deviation. A sociologist develops a test to measure attitudes about public transportation, and 27 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is 21.4. Construct the 95% confidence interval for the standard deviation, σ, of the scores of all subjects.
A.
16.6 < σ < 28.6
B.
16.9 < σ < 29.3
C.
17.2 < σ < 27.2
D.
17.5 < σ < 27.8
Question #3
Find the value of z α/2 that corresponds to a confidence level of 89.48%.
A.
1.25
B.
1.62
C.
-1.62
D.
0.0526
Question #4
Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution. A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s = 17.6 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.
A.
173.7 mg < μ < 196.3 mg
B.
173.9 mg < μ < 196.1 mg
C.
173.8 mg < μ < 196.2 mg
D.
175.9 mg < μ < 194.1 mg
Question #5
Find the critical value z α/2 that corresponds to a 93% confidence level.
A.
1.96
B.
2.7
C.
1.48
D.
1.81
Question #6
The following confidence interval is obtained for a population proportion, p: (0.688, 0.724). Use these confidence interval limits to find the point estimate,
A.
0.688
B.
0.724
C.
0.706
D.
0.708
Question #7
Find the critical value Χ 2/R corresponding to a sample size of 6 and a confidence level of 95 percent.
A.
1.145
B.
12.833
C.
11.07
D.
0.831
Question #8
Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution. n = 10, = 8.1, s = 4.8, 95% confidence
A.
4.72 < μ < 11.48
B.
4.68 < μ < 11.52
C.
4.67 < μ < 11.53
D.
5.32 < μ < 10.88
Question #9
Of 380 randomly selected medical students, 21 said that they planned to work in a rural community. Find a 95% confidence interval for the true proportion of all medical students who plan to work in a rural community.
A.
0.0280 < p < 0.0826
B.
0.0360 < p < 0.0745
C.
0.0323 < p < 0.0782
D.
0.0251 < p < 0.0854
Question #10
Find the critical value Χ 2/L corresponding to a sample size of 24 and a confidence level of 95 percent.
A.
13.091
B.
38.076
C.
11.689
D.
35.172
Need help with your exam preparation?
Get Answers to this exam for $6 USD.
Get Answers to all exams in [ Math 1140 - Introduction to Statistics ] course for $25 USD.
Existing Quiz Clients Login here