Question

complete the following analysis
mean 26.44 mean 26.19
standard deviation 9.9 standard deviation 9.99
sample size 16 sample size 16
calculated t value 0.07
degrees of freedom 30
critical value 2.04
what is your conclusion?
absolute value of t is the critical value.
therefore the result statistically significant.
therefore i will the null hypothesis.

Explanation:

Step1: Compare absolute value of t and critical value

The absolute value of \( t = |0.07|=0.07\), and the critical value is \( 2.04\). Since \( 0.07<2.04\).

Step2: Determine statistical significance

If \(|t|\) (absolute - value of the calculated \(t\) - statistic) is less than the critical value, the result is not statistically significant.

Step3: Make a decision about the null hypothesis

When the result is not statistically significant, we fail to reject the null hypothesis.

Answer:

Absolute value of \(t\) is less than the critical value. Therefore the result is not statistically significant. Therefore I will fail to reject the null hypothesis.