How can you prove to the client that students in higher classes are taller than those in lower classes?

Question

Accepted Answer

We can use statistical analysis to prove that students in higher classes are taller than those in lower classes.

Collect height data of students from different classes
Use statistical measures like mean, median, and mode to compare the heights of students in different classes
Perform hypothesis testing to determine if the difference in height between classes is statistically significant
Visualize the data using graphs and charts to make it easier for the client to understand
Provide a detailed report with all the analysis and findings

Accepted Answer

First, we collect the data of heights of the students and after that we analysis the data by statistics techniques mean median mode, after that we plot the graph to show the difference of heights clearly and explain the facts and prepare the conclusion after visualise the facts

Accepted Answer

To summarize the answer:

To prove that students in higher classes are taller than those in lower classes, follow these steps:

Define higher and lower classes based on grade levels.
Collect reliable height measurements from both groups.
Organize the data into separate datasets.
Calculate the average height for each group.
Conduct a statistical test, such as a two-sample t-test, to compare the means.
Calculate the p-value, which indicates the probability of obtaining the observed height difference if there is no real difference.
If the p-value is below the significance level (e.g., 0.05), there is evidence to support the claim that higher class students are taller.
If the p-value is higher, there is not enough evidence to support the claim.

It is important to ensure accurate data collection and apply appropriate statistical methods for valid conclusions.

Accepted Answer

Hypothesis testing:

Take median heights of all students of the higher class and call it m1

Take median heights of all students of lower class and call it m2.

Observation: dt= m1>m2 (Test statistic)

H0: There is no difference in heights b/w higher and lower class

H1: There is a difference b/w heights

Do permutation resampling test: I.e Take random samples from both classes and mix them and shuffle. Now form 2 classes again and measure the difference in median heights.

Call this as d1.

Repeat permutation resampling k times.

Arrange all k's in ascending order and try to fit in the dt.

If P(observing dt | H0)<5% significance, then we reject H0 and accept H1. (There is a difference in heights of students of higher classes

Else we fail to reject H0. (No difference in heights)

Man Whitney U test: Compare the heights of each pair of students from both classes and add the differences of each pair and find out if there is a difference.
Least preferred method: Just draw the probability distribution curve and compare the mean heights.