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Judging by the F statistic, do you think it is likely or unlikely that you will reject the null hypothesis?

Short Answer

Expert verified

The null hypothesis of no difference between the means of goals in four different score teams will be rejected, because the P-value 0.00048 is less than the level of significance 0.05.

Step by step solution

01

Given Information

Girls from four different soccer teams are to be tested for mean goals scored per game. The entries in the table are the goals per game for the different teams.

Team 1 Team 2 Team 3 Team 4
1203
2304
0214
3413
2402
02

Explanation

Consider the null hypothesis that there is no difference between the means of goals in four different score teams.

Use Ti-83 calculator for calculation. For this, click on STAT →press 1→EDIT, then put the above given weights of different groups data into the list L1,L2,L3andL4. The screenshot is given as below:

03

Explanation

Now again press STAT →arrow over the TESTS →arrow down to ANOVA →Press var then select 1, press var then select 2, press var then select 3and press var then select 4to fill the values of L1,L2,L3andL4. The screen shot is given as below:

04

Explanation

Press ENTER. The screenshot of the obtained output is given as below:

Thus, value of F-Statistic is 10.40and the corresponding p-value is 0.00048. Thus at 5%level of significance, the null hypothesis of no difference between the means of goals in four different score teams will be rejected, because the P-value 0.00048is less than the level of significance 0.05.

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