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
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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19

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.
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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