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

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=(M-\mu_M)/((s)/(√(N)))`

Substitute all the values in the formula , we get

`t=(50 -47 )/((4)/(√(25)))\\\\=(3)/((4)/(5))=3.75`

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