Question

In: Statistics and Probability

A random survey of enrollment at community colleges across the United States yielded the following figures:...

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

Solutions

Expert Solution

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:

orchestra answered 1 year ago
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