Given: null hypothesis is that the population mean is 16.9 against the alternative hypothesis that the population mean is not equal to 6.9. A random sample of 25 items results in a sample mean of 18.0
And the sample standard deviation is 2.4. It can be assumed that the population is normally distributed. Determine the observed "t" value.
A) t = 2.29
B) t = 1.83
C) t = 1.75
D) t = 2.01
E) None of these statements are true

Question

Quizplus · Accepted Answer

The observed t-value is calculated using the formula: t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size)). Substituting the given values: t = (18.0 - 16.9) / (2.4 / sqrt(25)) = 2.29.

Given: Null Hypothesis Is That the Population Mean Is 16