11.15 Refer to the data of Exercise 11.8a. Calculate a 95% confidence interval for ßb. What is the interpretation of Ho: B10 in Exercise 11.8?Noltems 1 1 1 1 2 2 22 23333Time4.8 14.7 13.79.52.4 11.8 10.5 12.0 14.3 16.4 17.9 14.5 16.7 20.1 16.8Noltems 33 333 4 4 44 4 4 4 4 45Time 20.8 26.8 12.9 13.0 15.4 10.8 20.3 22.3 20.0 21.9 20.7 20.9 19.9 17.1 19.1Noltems 5 5 5 5 6 6 6 6 6 6 6 777 7Time17.2 18.1 17.9 12.9 19.6 27.9 22.2 23.2 17.5 15.3 21.8 17.9 20.1 18.9 29.3Noltems 7 8 8 8 8 8 89 9 9 9 910 10 10Time 21.5 26.5 28.2 25.1 26.1 28.2 22.3 21.8 25.5 24.4 18.1 26.7 24.6 30.1 21.5Time 25.2 28.2 22.6 31.3 27.2 28.8 29.7 34.3 27.9 29.7 28.7 34.6 38.0 28.0 37.0Noltems 17 18 18 18 19 20 21 22 23 24 25 25 2526 27Time 32.5 39.5 39.0 37.0 35.5 38.3 44.0 39.6 42.3 34.6 44.9 47.4 49.2 45.8 44.0Noltems 27 30 30 31 37 39 40 41 45 46Time 46.1 42.9 48.3 46.0 48.2 54.7 49.9 55.4 57.1 52.4

Question
Asked Apr 2, 2019
1 views
11.15 Refer to the data of Exercise 11.8
a. Calculate a 95% confidence interval for ß
b. What is the interpretation of Ho: B10 in Exercise 11.8?
Noltems 1 1 1 1 2 2 22 23333
Time4.8 14.7 13.79.52.4 11.8 10.5 12.0 14.3 16.4 17.9 14.5 16.7 20.1 16.8
Noltems 33 333 4 4 44 4 4 4 4 45
Time 20.8 26.8 12.9 13.0 15.4 10.8 20.3 22.3 20.0 21.9 20.7 20.9 19.9 17.1 19.1
Noltems 5 5 5 5 6 6 6 6 6 6 6 777 7
Time17.2 18.1 17.9 12.9 19.6 27.9 22.2 23.2 17.5 15.3 21.8 17.9 20.1 18.9 29.3
Noltems 7 8 8 8 8 8 89 9 9 9 910 10 10
Time 21.5 26.5 28.2 25.1 26.1 28.2 22.3 21.8 25.5 24.4 18.1 26.7 24.6 30.1 21.5
Time 25.2 28.2 22.6 31.3 27.2 28.8 29.7 34.3 27.9 29.7 28.7 34.6 38.0 28.0 37.0
Noltems 17 18 18 18 19 20 21 22 23 24 25 25 2526 27
Time 32.5 39.5 39.0 37.0 35.5 38.3 44.0 39.6 42.3 34.6 44.9 47.4 49.2 45.8 44.0
Noltems 27 30 30 31 37 39 40 41 45 46
Time 46.1 42.9 48.3 46.0 48.2 54.7 49.9 55.4 57.1 52.4
help_outline

Image Transcriptionclose

11.15 Refer to the data of Exercise 11.8 a. Calculate a 95% confidence interval for ß b. What is the interpretation of Ho: B10 in Exercise 11.8? Noltems 1 1 1 1 2 2 22 23333 Time4.8 14.7 13.79.52.4 11.8 10.5 12.0 14.3 16.4 17.9 14.5 16.7 20.1 16.8 Noltems 33 333 4 4 44 4 4 4 4 45 Time 20.8 26.8 12.9 13.0 15.4 10.8 20.3 22.3 20.0 21.9 20.7 20.9 19.9 17.1 19.1 Noltems 5 5 5 5 6 6 6 6 6 6 6 777 7 Time17.2 18.1 17.9 12.9 19.6 27.9 22.2 23.2 17.5 15.3 21.8 17.9 20.1 18.9 29.3 Noltems 7 8 8 8 8 8 89 9 9 9 910 10 10 Time 21.5 26.5 28.2 25.1 26.1 28.2 22.3 21.8 25.5 24.4 18.1 26.7 24.6 30.1 21.5 Time 25.2 28.2 22.6 31.3 27.2 28.8 29.7 34.3 27.9 29.7 28.7 34.6 38.0 28.0 37.0 Noltems 17 18 18 18 19 20 21 22 23 24 25 25 2526 27 Time 32.5 39.5 39.0 37.0 35.5 38.3 44.0 39.6 42.3 34.6 44.9 47.4 49.2 45.8 44.0 Noltems 27 30 30 31 37 39 40 41 45 46 Time 46.1 42.9 48.3 46.0 48.2 54.7 49.9 55.4 57.1 52.4

fullscreen
check_circle

Expert Answer

Step 1

a. Confidence interval:

The (1-α) % confidence interval for β1 is given by:

fullscreen
Step 2

Computing the 95% confidence interval for β1:

I have entered the data for treatments number of items, and time in rows 1 to 101 of columns A, and B respectively, with row 1 having the labels (Number of items and time).

The confidence interval is computed by using EXCEL. The software procedure is given below:

  • Select Data > Data Analysis > Regression> OK.
  • Enter Input Y Range as $B$1:$B$101 and Input x Range as $A$1:$A$21, tick on Labels, tick on confidence level and enter confidence level as 95%, enter output Range as $D$1 and click OK.

The outputs using EXCEL is as follows:

fullscreen
Step 3

Therefore, the 95% confidence interval for &beta...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Use one of the following key terms to answer each of the following questions. KEY TERM BANK (separa...

A: Unvariate Analysis : When the analysis of data has only one variable in such cases we use Univariate...

question_answer

Q: 3. In a survey of 209 Montana residents, 61 reported their financial status was worse than a year ag...

A: (a) Computing the point estimate of population proportion:The point estimate of population proportio...

question_answer

Q: Statistics Question

A: Solution:It is given that “Budget” as x variable and significance level of α=0.05.The regression equ...

question_answer

Q: Hi. I need help with part (d) and (e) The bond behavior of reinforcing bars is an important determin...

A: (d) The error standard deviation:The formula to estimate the standard deviation (σ) of the error (ε)...

question_answer

Q: Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted an...

A: Hey, since there are multiple subpart questions posted, we will answer first three subparts. If you ...

question_answer

Q: Brandybuck Insurance Company (BIC) is deciding whether to insure the lives of those leading a quest ...

A: The probability of surviving = 0.885Money earned by BIC if the insured person survives = 9970 silver...

question_answer

Q: Use a χ2​-test to test the claim σ2=0.49 at the α=0.10 significance level using sample statistics s2...

A: In order to test the hypothesis of H0: sigma square  is equal to 0.49  versus Ha: sigma square not e...

question_answer

Q: How would I construct a stem and leaf plot using these numbers 57 54 52 55 51 56 61 68 56 55 54 61 5...

A: Introduction:The numbers here are all two-digit numbers. So, you can consider the digit in the ten’s...

question_answer

Q: In a recent court case it was found that during a period of 11 years 851 people were selected for gr...

A: It is given that a particular ethnicity in the population is 40%. From that ethnicity, 80% of 851 pe...