One Sample T-Test

Question

I need help with my homework and i'm struggling to get this one, I have to conduct a one sample t-test in my Statistics Subject. It says "prove or disprove the history teacher's claim by performing the steps in conducting a one sample t-test and use a= 0.05. Show calculations on MS Word or Jamboard". The problem is "A History teacher claimed that the average height of 16 - 18-year-old Filipino males was 163 centimeters. As students taking up Statistics you wanted to know if there is enough evidence to prove this claim through a survey." and i have my computations of

X total = 4288 and (x-x̄)^2 = 2821

x̄ = 163 , Mean = 171.52 and Standard Deviation = 10.84

Answer 1

Here is how you compute the t-test.

All you need is your average x, your mean μ, and your standard deviation s to derive something called the t-statistic:

t = x - μ / s

In this case t = 163- 171.52/ 10.84 = 8.52/10.84

I can work out from the fact that your total is 4288 and your mean is 171.52 that you had 25 subjects in your t-test.

This is important. Now for our t-test, we need to look up t₂₅ < -8.52/10.84 or t₂₅ > 8.52/10.84 ≈ 0.22

Since a = 0.22 > 0.05, we cannot reject the null, so we do not have enough evidence to prove that the teacher's claim that the students' average height is 163 cm wrong.