Answer
$H_0:μ=48$
$H_1:μ\gt48$
Test Statistic: $1.070$
Critical value: $1.833$
We fail to reject the null hypothesis, because $P\gt0.1$. Hence, we cannot conclude that there are more than 48 words on a page.
Work Step by Step
We want to see if the mean change is greater than 48, so we know $H_0:μ=48$ and $H_1:μ\gt48$.
We now use a Ti-84 calculator.
To solve, go to "Stat," then "Tests," and then select "Stats." Next, plug in $μ_0=48$, $\overline{x}=53.3$, $S_x=15.7$ and $n=10$. Then, select ">$μ_0$" and push calculate.
Doing this, we find that the test statistic, $t=1.070$ and that the critical value is $1.833$. From this, we can see that $P\gt0.1$, so we cannot reject the null hypothesis.
