the test statistic number and the P value
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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 who were given the colored pens are shown below. Assume
that the distribution of the population is normal.
77, 65, 82, 95, 73, 66, 94, 87, 65, 90, 87, 92, 97, 99, 100
What can be concluded at the the a = 0.10 level of significance level of significance?
a. For this study, we should use t-test for a population mean
b. The null and alternative hypotheses would be:
Họ: Hv
77
H1: pv #
77
c. The test statístic t v =
(please show your answer to 3 decimal places.)
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H1: v
77
c. The test statistic
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is s
f. Based on this, we should reject
g. Thus, the final conclusion is that ...
v the null hypothesis.
O The data suggest that the population mean final exam score for students who`are given
colored pens at the beginning of class is not significantly different from 77 at a = 0.10,
there is statistically insignificant evidence to conclude that the population mean final e
Score for students who are given colored pens at the beginning of class is different from
O The data suggest the populaton mean is significantly different from 77 at a = 0.10, so
statistically significant evidence to conclude that the population mean final exam score
students who are given colored pens at the beginning of class is different from 77.
O The data suggest the population mean is not significantly different from 77 at a = 0.10
there is statistically insignificant evidence to conclude that the population mean final e
Score for students who are given colored pens at the beginning of class is equal to 77.
DEC
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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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