Given: null hypothesis is that the population mean is 16.9 against the alternative hypothesis that the population mean is not equal to 16.9. A random sample of 16 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 = 2.12
B) t = 1.50
C) t = 1.75
D) t = 1.83

Question

Quizplus · Accepted Answer

The observed "t" value can be calculated as:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
t = (18.0 - 16.9) / (2.4 / sqrt(16))
t = 1.1 / 0.6
t = 1.83

Therefore, the observed "t" value is 1.83 which corresponds to choice D.

Given: Null Hypothesis Is That the Population Mean Is 16