Math Problem Statement
6 latihan.pdf
50.22 KB
Solution
The table provided contains the following dataThe table provided contains the following
No | Class Interval | Midpoint (Nilai Tengah) | Frequency (F) |
---|---|---|---|
1 | 34 – 48 | 41 | 0 |
2 | 49 – 63 | 56 | 0 |
3 | 64 – 78 | 71 | 1 |
4 | 79 – 93 | 86 | 31 |
5 | 94 – 108 | 101 | 32 |
6 | 109 – 123 | 116 | 3 |
7 | 124 – 136 | 130 | 0 |
To determine if the data follows a normal distribution at a significance level (α) of 5%, a statistical test such as the Chi-Square Goodness of Fit test or the Kolmogorov-Smirnov test would typically be used. Here's how it can be approached:
Steps:
- Compute the sample mean and standard deviation.
- Calculate expected frequencies for each interval assuming the data is normally distributed.
- Perform the Chi-Square test to compare observed and expected frequencies.
- Compare the calculated Chi-Square value with the critical value from the Chi-Square distribution for the given degrees of freedom at α = 0.05.
Would you like to proceed with this analysis, or need assistance with a specific part of this process?
Here are 5 related questions to deepen your understanding:
- How do you calculate expected frequencies for a Chi-Square test?
- What is the importance of the standard deviation in normal distribution?
- How can we use the Kolmogorov-Smirnov test to check for normality?
- How does the choice of α (5%) affect the results of hypothesis testing?
- What is the difference between skewness and normality in distribution?
Tip: For better accuracy, it's essential to have a reasonable number of classes and sufficient frequency in each interval when conducting Chi-Square tests.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Normal Distribution
Chi-Square Test
Formulas
Sample Mean
Standard Deviation
Chi-Square Test Formula
Theorems
Central Limit Theorem
Chi-Square Goodness of Fit
Suitable Grade Level
Undergraduate
Related Recommendation
Normality Test Using Chi-square with Frequency Data and Significance Level 5%
Chi-Square Test for Normal Distribution of Frequency Data
Determining Normality of Distribution from Size and Frequency Data
Chi-Square Test for Normal Distribution at 1% and 5% Significance Levels
Normal Distribution and Central Limit Theorem: Human Pregnancy Durations