In the past years, the mean of Math test scores in a 4th grade class was 18. The following is a set of scores from 10 students from this year. A hypothesis testing needs to be conducted in order to compare the means to see if this year’s students (based on this year's sample) are performing at the same level as the previous years. < Data 3-1 > Subject # Score (Score)^2 1 20 400
In the past years, the mean of Math test scores in a 4th grade class was 18. The following is a set of scores from 10 students from this year. A hypothesis testing needs to be conducted in order to compare the means to see if this year’s students (based on this year's sample) are performing at the same level as the previous years. < Data 3-1 > Subject # Score (Score)^2 1 20 400
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question
In the past years, the mean of Math test scores in a 4th grade class was 18. The following is a set of scores from 10 students from this year. A hypothesis testing needs to be conducted in order to compare the means to see if this year’s students (based on this year's sample) are performing at the same level as the previous years.
< Data 3-1 >
Subject # |
Score |
(Score)^2 |
1 |
20 |
400 |
2 |
13 |
169 |
3 |
13 |
169 |
4 |
20 |
400 |
5 |
29 |
841 |
6 |
32 |
1024 |
7 |
23 |
529 |
8 |
20 |
400 |
9 |
25 |
625 |
10 |
15 |
225 |
Total |
210 |
4782 |
- a) Is there a significant difference between the sample mean of scores and the population mean? Carry out all 9 steps of the hypothesis testing. Use alphaα=0.05
b)Calculate the estimated population standard deviation of scores in the sample
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