Math Problem Statement

6 latihan.pdf

50.22 KB

Solution

The table provided contains the following dataThe table provided contains the following

NoClass IntervalMidpoint (Nilai Tengah)Frequency (F)
134 – 48410
249 – 63560
364 – 78711
479 – 938631
594 – 10810132
6109 – 1231163
7124 – 1361300

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:

  1. Compute the sample mean and standard deviation.
  2. Calculate expected frequencies for each interval assuming the data is normally distributed.
  3. Perform the Chi-Square test to compare observed and expected frequencies.
  4. 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:

  1. How do you calculate expected frequencies for a Chi-Square test?
  2. What is the importance of the standard deviation in normal distribution?
  3. How can we use the Kolmogorov-Smirnov test to check for normality?
  4. How does the choice of α (5%) affect the results of hypothesis testing?
  5. 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