134k views
0 votes
Hi, can you help me answer this question please, thank you!

Hi, can you help me answer this question please, thank you!-example-1

1 Answer

2 votes

TEST STATISTIC

The formula used to calculate the test statistic is given to be:


z=\frac{\bar{x}_1-\bar{x}_2}{\sqrt[]{(SD^2_1)/(n_1)+(SD^2_2)/(n_2)}}

The following parameters are provided in the question:


\begin{gathered} \bar{x}_1=75.4 \\ \bar{x}_2=83.3 \\ n_1=12 \\ n_2=19 \\ SD_1=9.7 \\ SD_2=17.8 \end{gathered}

Substituting these values, we can calculate the test statistic to be:


\begin{gathered} z=\frac{75.4-83.3}{\sqrt[]{(9.7^2)/(12)+(17.8^2)/(19)}} \\ z=-1.595 \end{gathered}

Therefore, the test statistic is gotten to be -1.595

P-VALUE

To calculate the p-value, we can use an online distribution calculator. This is shown below:

From the calculator above, the p-value is:


p-value=0.0554

The significance level, α, is 0.02.

Therefore, the p-value is greater than α.

Thus, we do not reject the hypothesis.

Hi, can you help me answer this question please, thank you!-example-1
User Dac Toan Ho
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories