Chapter 12.6, Problem 6CYU

To determine

To find :Accept or Reject.

Answer to Problem 6CYU

Reject

Explanation of Solution

Given information :

We know that, the given data is ${\text{H}}_{\text{0}}=10,H_1<10,n=50,\overline{x}=8.75\text{and}S=0.9$

Formula Used:

  $\text{CI}=\overline{x}\pm 1.96\frac{S}{\sqrt{n}}$

Calculation:

C.I. = $8.75\pm 1.96\times \frac{0.9}{\sqrt{50}}=8.5$ and $9$.

For $\text{95\%}$ confidence interval.

  $8.5\le 4\le 9$

So, there is no value into the $\text{95\%}$ confidence interval. If it false in the confidence interval we accept other we reject.