Question

Hi, can you help me answer this question please, thank you!

Answer 1

Given that

`\begin{gathered} \mu_d=\mu_2-\mu_1=21.1 \\ s_d=14.9 \\ n=8 \end{gathered}`

a) The formula for the test statistics for this sample is,

`t=\frac{\mu_d}{s_d\sqrt[]{n}}`

Therefore,

`\begin{gathered} t=\frac{21.1}{14.9*\sqrt[]{8}}=0.50067 \\ t=0.50067\approx0.501(3\text{ decimal places)} \\ \therefore t=0.501 \end{gathered}`

Hence, the test statistic for this sample is

`t=0.501`

b)