Answer:
-1.010
Step-by-step explanation:
The formula for calculating the test statistics is expressed as:
![t=\frac{\frac{\overline{x}-\mu}{\sigma}}{\sqrt[]{n}}](https://img.qammunity.org/2023/formulas/mathematics/college/ezhzchjeycoxxjcy0b3jrayixvn0am8lxz.png)
Given the following parameters
Mean x = 6.2
Standard deviation σ = 3.43
μ = 6.7
n = 48
Substitute the given parameters into the formula:
![\begin{gathered} t=(\frac{(6.2-6.7)/(3.43)}{\sqrt[]{48}}) \\ t=(-0.5)/(0.495077) \\ t=-1.0099 \\ t=-1.010 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ca58om5wew5y7ckbhkchfuhsndtwd35680.png)
This shows that the test statistics rounded to 3 decimal places is -1.010