Question

Sample mean (M) = 50 Population mean (µ) = µM = 47 Sample standard deviation (s) = 4 Sample size (N) = 25 Based on this information, compute the t statistic for a one-sample t test. (You may need to compute some other values before computing the t statistic itself). When reporting your t statistic, please provide at least two decimal places.

Answer 1

Answer: t= 3.75

Step-by-step explanation:

Given : Sample mean (M) = 50

Population mean (µ) = µM = 47

Sample standard deviation (s) = 4

Sample size (N) = 25

∵ Population standard deviation is missing , so we apply t-test.

Test statistic formula :

$t=\dfrac{M-\mu_M}{\dfrac{s}{\sqrt{N}}}$

Substitute all the values in the formula , we get

$t=\dfrac{50 -47 }{\dfrac{4}{\sqrt{25}}}\\\\=\dfrac{3}{\dfrac{4}{5}}=3.75$

Hence, the t statistic for a one-sample t test : t= 3.75