Question

Problem 3. Looking at the midterm grades for one of my courses, I have the following data for 2 separate sections: | Section | Students Enrolled | Average Grade | Standard Deviation | |---|---|---|---| | 1 | 35 | 65.9 | 21.4 | | 2 | 31 | 54.9 | 22.9 | Problem 3a) I write the following hypotheses that I wish to test: Which of the following best describes what these hypotheses indicate? - a) I wish to test the claim that the average grade on the exam is usually 65 and these results indicate otherwise. - b) I wish to test the claim that the average grade on this exam is not 65 because usually it is. - c) I wish to test the claim that the average grade on this exam is 65 because usually it is some other value. - d) I wish to test the claim that section 2 scored worse on the exam than section 1. Problem 3b) The long term average on this midterm is 65. Based on hypothesis testing, and a significance of 0.01, I can say which of the following about Section 2 a) The data support a claim that the mean score is 65. b) The data do not support the claim that the mean score is not 65. c) The mean score for Section 2 is not 65. d) The mean score for Section 2 might be 65. Problem 3c) The long term average on this midterm is 65. Based on hypothesis testing, and a significance of 0.01, I can say which of the following about Section 1 a) The data support a claim that the mean score is 65. b) The data do not support a claim that the mean score is different than 65. c) The mean score for Section 1 is greater than the mean score for Section 2. d) The data do not support either the null or alternative hypotheses. Problem 3d) A 90% 2-sided confidence interval around the data for Section 1 is closest to which of the following. Use a normal distribution. Problem 3e) A 90% 1-sided upper limit confidence interval for the mean of Section 2 is closest to which of the following. Use the t-distribution. 49.5 65.0 61.9 60.2 Problem 3f) The two sections seem to have different scores, perhaps suggesting there is indeed a difference between them. The standard t-test, as discussed in class, could have hypotheses written as: These hypotheses suggest which of the following claims is being made That the means of the two sections are identical. That Section 1 scored higher than Section 2. That Section 2 scored lower than Section 1. That the means of the two sections are indeed different. Problem 3g) If a 0.01 significance is considered, the results of a t-test on the means of the two sections indicate: - therefore the claim that the 2 sections have different means is supported. - therefore the claim that the 2 sections have different means is supported. - therefore the 2 sections likely have the same mean. - therefore the claim that the 2 sections have different means is not supported.

Name: problem 3 looking at the midterm grades for one of my courses i have the following data for 2 separate sections section students enrolled average grade standard deviation 1 35 659 214 2 31 5 19017
Uploaded: 2022-08-19T16:20:59-08:00
Duration: 8 min 10 s
Channel: David Nguyen
Description: problem 3 looking at the midterm grades for one of my courses i have the following data for 2 separate sections section students enrolled average grade standard deviation 1 35 659 214 2 31 5 19017

Problem 3.
Looking at the midterm grades for one of my courses, I have the following data for 2 separate
sections:

| Section | Students Enrolled | Average Grade | Standard Deviation |
|---|---|---|---|
| 1 | 35 | 65.9 | 21.4 |
| 2 | 31 | 54.9 | 22.9 |

Problem 3a)
I write the following hypotheses that I wish to test:
Which of the following best describes what these hypotheses indicate?
- a) I wish to test the claim that the average grade on the exam is usually 65 and these results indicate otherwise.
- b) I wish to test the claim that the average grade on this exam is not 65 because usually it is.
- c) I wish to test the claim that the average grade on this exam is 65 because usually it is some other value.
- d) I wish to test the claim that section 2 scored worse on the exam than section 1.

Problem 3b)
The long term average on this midterm is 65. Based on hypothesis testing, and a significance of 0.01, I can say which of the following about Section 2
a) The data support a claim that the mean score is 65.
b) The data do not support the claim that the mean score is not 65.
c) The mean score for Section 2 is not 65.
d) The mean score for Section 2 might be 65.
Problem 3c)
The long term average on this midterm is 65. Based on hypothesis testing, and a significance of 0.01, I can say which of the following about Section 1
a) The data support a claim that the mean score is 65.
b) The data do not support a claim that the mean score is different than 65.
c) The mean score for Section 1 is greater than the mean score for Section 2.
d) The data do not support either the null or alternative hypotheses.

Problem 3d)
A 90% 2-sided confidence interval around the data for Section 1 is closest to which of the following. Use a normal distribution.

Problem 3e)
A 90% 1-sided upper limit confidence interval for the mean of Section 2 is closest to which of the following. Use the t-distribution.
49.5
65.0
61.9
60.2

Problem 3f)
The two sections seem to have different scores, perhaps suggesting there is indeed a difference between them. The standard t-test, as discussed in class, could have hypotheses written as:
These hypotheses suggest which of the following claims is being made
That the means of the two sections are identical.
That Section 1 scored higher than Section 2.
That Section 2 scored lower than Section 1.
That the means of the two sections are indeed different.

Problem 3g)
If a 0.01 significance is considered, the results of a t-test on the means of the two sections indicate:
- therefore the claim that the 2 sections have different means is supported.
- therefore the claim that the 2 sections have different means is supported.
- therefore the 2 sections likely have the same mean.
- therefore the claim that the 2 sections have different means is not supported.

problem 3 looking at the midterm grades for one of my courses i have the following data for 2 separate sections section students enrolled average grade standard deviation 1 35 659 214 2 31 5 19017

Added by Alexis A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

08/19/2022

Step 1

The hypotheses are: - The average grade on the exam is usually 65. - The average grade on the exam is not 65. The best description is that the hypotheses are testing whether the average grade on the exam is 65 or not. Therefore, the answer is **b) I wish to test Show more…

Show all steps

Thanks for your feedback!

Problem 3. Looking at the midterm grades for one of my courses, I have the following data for 2 separate sections: | Section | Students Enrolled | Average Grade | Standard Deviation | |---|---|---|---| | 1 | 35 | 65.9 | 21.4 | | 2 | 31 | 54.9 | 22.9 | Problem 3a) I write the following hypotheses that I wish to test: Which of the following best describes what these hypotheses indicate? - a) I wish to test the claim that the average grade on the exam is usually 65 and these results indicate otherwise. - b) I wish to test the claim that the average grade on this exam is not 65 because usually it is. - c) I wish to test the claim that the average grade on this exam is 65 because usually it is some other value. - d) I wish to test the claim that section 2 scored worse on the exam than section 1. Problem 3b) The long term average on this midterm is 65. Based on hypothesis testing, and a significance of 0.01, I can say which of the following about Section 2 a) The data support a claim that the mean score is 65. b) The data do not support the claim that the mean score is not 65. c) The mean score for Section 2 is not 65. d) The mean score for Section 2 might be 65. Problem 3c) The long term average on this midterm is 65. Based on hypothesis testing, and a significance of 0.01, I can say which of the following about Section 1 a) The data support a claim that the mean score is 65. b) The data do not support a claim that the mean score is different than 65. c) The mean score for Section 1 is greater than the mean score for Section 2. d) The data do not support either the null or alternative hypotheses. Problem 3d) A 90% 2-sided confidence interval around the data for Section 1 is closest to which of the following. Use a normal distribution. Problem 3e) A 90% 1-sided upper limit confidence interval for the mean of Section 2 is closest to which of the following. Use the t-distribution. 49.5 65.0 61.9 60.2 Problem 3f) The two sections seem to have different scores, perhaps suggesting there is indeed a difference between them. The standard t-test, as discussed in class, could have hypotheses written as: These hypotheses suggest which of the following claims is being made That the means of the two sections are identical. That Section 1 scored higher than Section 2. That Section 2 scored lower than Section 1. That the means of the two sections are indeed different. Problem 3g) If a 0.01 significance is considered, the results of a t-test on the means of the two sections indicate: - therefore the claim that the 2 sections have different means is supported. - therefore the claim that the 2 sections have different means is supported. - therefore the 2 sections likely have the same mean. - therefore the claim that the 2 sections have different means is not supported.