Data Set 9-1: Sample scores: 2, 3, 4
-Test the scores in Data Set 9-1 against H₀: $\mu$ = 4.00. The t value that results is

Question

Data Set 9-1: Sample scores: 2, 3, 4 -Test the scores in Data Set 9-1 against H₀: $\mu$ = 4.00. The t value that results is A) 1.00 B) 1.41 C) 1.73 D) 3.00

Quizplus · Accepted Answer

The t value is calculated using the formula $ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} $, where $\bar{x}$ is the sample mean, $\mu$ is the population mean, $s$ is the sample standard deviation, and $n$ is the sample size. For the scores 2, 3, 4, $\bar{x} = 3$, $s = 1$, and $n = 3$. Substituting these values gives $ t = \frac{3 - 4}{1/\sqrt{3}} = -1.73 $. The absolute value is 1.73.

Data Set 9-1: Sample Scores: 2, 3, 4 -Test the Scores

Data Set 9-1: Sample Scores: 2, 3, 4
-Test the Scores