In: Statistics and Probability
A random survey of enrollment at community colleges across the United States yielded the following figures: 7681; 3200; 17500; 9200; 7380; 18314; 6557; 13713;. Assume the underlying population is normal. Construct a 95% confidence interval for the population mean enrollment at community colleges in the United States.
What is the lower bound of the confidence interval?
Question 1 options:
5880 |
|
10443 |
|
15006 |
Question 2 (1 point)
What is the sample mean?
Question 2 options:
5458 |
|
5880 |
|
10443 |
Question 3 (1 point)
What is the upper bound of the confidence interval?
Question 3 options:
5880 |
|
10443 |
|
15006 |
Question 4 (1 point)
What is the sample standard deviation?
Question 4 options:
5458 |
|
5880 |
|
10443 |
Question 5 (1 point)
What is the correct conclusion?
Question 5 options:
With 90% confidence, the population mean falls between 5880 and 15006. |
|
With 95% confidence, the population mean falls between 5880 and 15006. |
|
With 99% confidence, the population mean falls between 5880 and 15006. |
Question 6 (1 point)
What is the error bound margin?
Question 6 options:
4563 |
|
5880 |
|
15006 |
Question 7 (1 point)
What is the sample size?
Question 7 options:
6 |
|
7 |
|
8 |
Question 8 (1 point)
What is the confidence level for the interval?
Question 8 options:
90% |
|
95% |
|
99% |
Scenario 2
A random survey of enrollment at community colleges across the United States yielded the following figures: 4300; 5944; 5722; 2825; 2044; 5481; 5200; 5853; 2750; 10012; 6357; 27000; 9414; 7681; 3200; Assume the underlying population is normal. Construct a 90% confidence interval for the population mean enrollment at community colleges in the United States.
Question 9 (1 point)
What is the sample size?
Question 9 options:
13 |
|
14 |
|
15 |
Question 10 (1 point)
What is the lower bound of the confidence interval?
Question 10 options:
4182 |
|
6919 |
|
9655 |
Question 11 (1 point)
What is the sample standard deviation?
Question 11 options:
6018 |
|
6919 |
|
9655 |
Question 12 (1 point)
What is the correct conclusion?
Question 12 options:
With 90% confidence, the population mean falls between 4182 and 6918 |
|
With 90% confidence, the population mean falls between 6918 and 9655 |
|
With 90% confidence, the population mean falls between 4182 and 9655 |
Question 13 (1 point)
What is the error bound margin?
Question 13 options:
2736 |
|
4182 |
|
9655 |
Question 14 (1 point)
What is the sample mean?
Question 14 options:
6018 |
|
6918 |
|
9655 |
Question 15 (1 point)
What is the confidence level for the interval?
Question 15 options:
90% |
|
95% |
|
99% |
Question 16 (1 point)
What is the upper bound of the confidence interval?
Question 16 options:
4182 |
|
6919 |
|
9655 |
Question 1:
Correct option:
5880
Explanation:
From the given data, the following statistics are calculated:
n = 8
= 10443.125
s = 5458.4731
= 0.05
df = 8 - 1 = 7
From Table, critical values of t = 2.365
Lower Limit of Confidence Interval:is given by:
Question 2:
Correct option:
10443
Question 3:
Correct option:
15006 |
Explanation:
Lower Limit of Confidence Interval:is given by:
Question 4:
Correct option:
5458
Question 5:
Correct option:
With 95% confidence, the population mean falls between 5880 and 15006.
Question 6:
Correct option:
4563
Question 7:
Correct option:
8
Question 8:
Correct option:
95% |
Question 9:
Correct option:
15
Question 10:
Correct option:
4182
Explanation:
From the given data, the following statistics are calculated:
n = 15
= 6918.8667
s = 6018.2725
= 0.10
df = 15 - 1 = 14
From Table, critical values of t = 1.761
Lower Limit of Confidence Interval:is given by:
Question 11:
Correct option:
6018
Question 12:
Corrct option:
With 90% confidence, the population mean falls between 4182 and 9655 |
Question 13:
Correct option:
2736
Question 14:
Correct option:
6918
Question 15:
Correct option:
90%
Question 16:
Correct option:
9655
Explanation: