The test scores of 20 students on a 100-point test were recorded. 72 91 92 | 85 73 75 84 84 77 58 83 88 65 61 73 79 67 64 74 86 (a) Create a stem and leaf plot for the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) stem leaf 5 6 7 8 Can you reasonably assume that these test scores have been selected from a normal population? O Yes, the stem and leaf plot indicates that this is a reasonable assumption. O No, the stem and leaf plot indicates that this is not a reasonable assumption. (b) Calculate the mean and standard deviation of the scores. (Round your standard deviation to three decimal places.) mean standard deviation (c) If these students can be considered a random sample from the population of all students, find a 95% confidence interval for the average test score in the population. (Round your answers to three decimal places.) to
The test scores of 20 students on a 100-point test were recorded. 72 91 92 | 85 73 75 84 84 77 58 83 88 65 61 73 79 67 64 74 86 (a) Create a stem and leaf plot for the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) stem leaf 5 6 7 8 Can you reasonably assume that these test scores have been selected from a normal population? O Yes, the stem and leaf plot indicates that this is a reasonable assumption. O No, the stem and leaf plot indicates that this is not a reasonable assumption. (b) Calculate the mean and standard deviation of the scores. (Round your standard deviation to three decimal places.) mean standard deviation (c) If these students can be considered a random sample from the population of all students, find a 95% confidence interval for the average test score in the population. (Round your answers to three decimal places.) to
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The test scores of 20 students on a 100-point test were recorded:
- 72, 91, 92, 85, 73
- 75, 84, 84, 77, 58
- 83, 88, 65, 61, 73
- 79, 67, 64, 74, 86
### (a) Create a stem and leaf plot for the data.
To create a stem and leaf plot, organize the scores by tens (stem) and units (leaf):
#### Stem | Leaf
- 5 | 8
- 6 | 1 4 5 7
- 7 | 2 3 3 4 5 7 9
- 8 | 3 4 4 6 8
- 9 | 1 2 5
**Assumption**: Can you reasonably assume that these test scores have been selected from a normal population?
- Yes, the stem and leaf plot indicates that this is a reasonable assumption.
- No, the stem and leaf plot indicates that this is not a reasonable assumption.
### (b) Calculate the mean and standard deviation of the scores.
- **Mean**: [Enter the calculated mean]
- **Standard Deviation**: [Enter the calculated standard deviation rounded to three decimal places]
### (c) Confidence Interval
If these students can be considered a random sample from the population of all students, find a 95% confidence interval for the average test score in the population. (Round your answers to three decimal places.)
- From [Enter lower bound]
- To [Enter upper bound]
This information outlines how students' scores are distributed and the statistical parameters that describe their performance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0043636e-317e-482a-b701-46e9ae6bab2e%2Fedd80548-9e54-4e33-95e8-a29e3015554b%2Flp5vaa_processed.png&w=3840&q=75)
Transcribed Image Text:The test scores of 20 students on a 100-point test were recorded:
- 72, 91, 92, 85, 73
- 75, 84, 84, 77, 58
- 83, 88, 65, 61, 73
- 79, 67, 64, 74, 86
### (a) Create a stem and leaf plot for the data.
To create a stem and leaf plot, organize the scores by tens (stem) and units (leaf):
#### Stem | Leaf
- 5 | 8
- 6 | 1 4 5 7
- 7 | 2 3 3 4 5 7 9
- 8 | 3 4 4 6 8
- 9 | 1 2 5
**Assumption**: Can you reasonably assume that these test scores have been selected from a normal population?
- Yes, the stem and leaf plot indicates that this is a reasonable assumption.
- No, the stem and leaf plot indicates that this is not a reasonable assumption.
### (b) Calculate the mean and standard deviation of the scores.
- **Mean**: [Enter the calculated mean]
- **Standard Deviation**: [Enter the calculated standard deviation rounded to three decimal places]
### (c) Confidence Interval
If these students can be considered a random sample from the population of all students, find a 95% confidence interval for the average test score in the population. (Round your answers to three decimal places.)
- From [Enter lower bound]
- To [Enter upper bound]
This information outlines how students' scores are distributed and the statistical parameters that describe their performance.
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