the test statistic number and the P value
Here we are given the average final exam score for the statistics course is 77%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different.
The final exam scores for the 15 randomly selected students are given here and it is as follows;
77,65 ,82 ,95 ,73 ,66 ,94 ,87 ,65 ,90 ,87,92 ,97 ,99 ,100.
Given level of significance ,α = 0.10.
It is asked to find
- Which test will we use here.
- State the hypotheses.
- The test statistic value.
- The p-value.
- Decision.
- Conclusion.
Your answers for part a) , part b) , Part e) , Part f) and Part g) are absolutely correct. Good job :)
It is asked to find test statistic value.
We can easily find this value in TI-84 calculator.
Please refer the following steps.
- Press [STAT][ENTER] to enter the Stat List editor. Enter you above given data in L1 column , it will look like ,
2. Now again press STAT >> Highlight TESTS >>> a list will appears to you scroll and select 2: T test , hit on enter , now here highlight DATA and enter the asked values it will look like as follows;
3 . Hit on calculate to get the output.
From this output , test statistic , t = 2.346155849 till three decimal places it would be 2.346.
Thus , the test statistic value is 2.346.
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