Question

In: Statistics and Probability

Data on the rate at which a volatile liquid will spread across a surface are in...

Data on the rate at which a volatile liquid will spread across a surface are in the table. Complete parts a through

c.

Time​ (minutes)

Mass​ (Pounds)

0

6.73

2

5.97

4

5.44

6

4.98

8

4.51

10

3.93

12

3.56

14

3.06

16

2.87

18

2.42

20

2.21

25

1.47

30

1.02

45

0.12

60

0.00

a. Find a 99%confidence interval for the mean mass of all spills with an elapsed time of 34 minutes. Interpret the result.

What is the confidence​ interval?

(____________, _____________),

​(Round to three decimal places as​ needed.)

Interpret the result. Choose the correct answer below.

A.We are 99% confident that the interval will contain the mean mass of the spill after

34 minutes.

B.We are 99​% confident that the interval will contain 34

minutes.

C.We are 99% confident that the interval will not contain the mean mass of the spill at 34 minutes.

D.We are 99​% confident that the interval will contain the mean mass of the spill before 34 minutes has passed

.b. Find a 99% prediction interval for the mass of a single spill with an elapsed time of 34 minutes. Interpret the result.

What is the prediction​ interval?

(__________ ,_________ )

​(Round to three decimal places as​ needed.)

Interpret the result. Choose the correct answer below.

A.We are 99​% confident that the interval will not contain the mass of the spill after 34 minutes.

B.We are 99​% confident that the interval will contain the mass of the spill before 34 minutes has passed.

C.We are 99​% confident that the interval will contain the mass of the spill after 34 minutes.

D.We are 99​% confident that the interval will contain 34 minutes

.c. Compare the​ intervals, parts a and

b. Which interval is​ wider? Will this always be the​ case? Explain. Fill in the blanks below.The

▼

(confidence, prediction)

interval is wider. This

(will not,will)

always be the case because the error of this interval is

.random error.

twice the error of the other interval.

half the error of the other interval.

the sum of two errors.

Solutions

Expert Solution

Solution: We can use the excel to find the answers to the given questions. The excel output is given below:

a. Find a 99%confidence interval for the mean mass of all spills with an elapsed time of 34 minutes. Interpret the result.

What is the confidence interval?

(0.436, 2.341)

Interpret the result. Choose the correct answer below.

D. We are 99 % confident that the interval will contain the mean mass of the spill before 34 minutes has passed

.b. Find a 99% prediction interval for the mass of a single spill with an elapsed time of 34 minutes. Interpret the result.

What is the prediction interval?

(-1.386,4.163)

Interpret the result. Choose the correct answer below.

B. We are 99 % confident that the interval will contain the mass of the spill before 34 minutes has passed.

.c. Compare the intervals, parts a and

b. Which interval is wider? Will this always be the case? Explain. Fill in the blanks below.


The prediction interval is wider. This will always be the case because the error of this interval is twice the error of the other interval.

orchestra answered 1 year ago
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