The average final exam score for the statistics course is 74%. 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 higher. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 91, 94, 78, 97, 77, 80, 94, 94, 62, 64, 88, 71, 70 What can be concluded at the the a = 0.01 level of significance level of significance?

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Chapter10: Statistics
Section10.2: Representing Data
Problem 10PPS
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O (135) H X
O Hints
S Hints
O (135) F X
D (135) F X
D (135) C X
O (135)
O (135) C X
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The average final exam score for the statistics course is 74%. 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 higher. The final exam scores for the 13
randomly selected students who were given the colored pens are shown below. Assume that the distribution of
the population is normal.
91, 94, 78, 97, 77, 80, 94, 94, 62, 64, 88, 71, 70
What can be concluded at the the a = 0.01 level of significance level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
1)
4/1)
8/1)
9/1)
Ho: ? ?v
H1: ? v?v
.7/1)
c. The test statistic ? v =
(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 ? v a
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that ...
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 higher than 74 at a = 0.01, so there is statistically
insignificant evidence to conclude that the population mean final exam score for students who are
given colored pens at the beginning of class is higher than 74.
O The data suggest the populaton mean is significantly higher than 74 at a = 0.01, so there is
statistically significant evidence to conclude that the population mean final exam score for students
who are given colored pens at the beginning of class is higher than 74,
O The data suggest the population mean is not significantly higher than 74 at a= 0.01, so there is
statistically insignificant evidence to conclude that the population mean final exam score for
students who are given colorcd pens at the beginning of class is equal to 74.
Hint:
DII
DD
F4
F5
EZ
F8
F9
F10
F12
24
&
)
4
6
7
9
R
T
Y
P
* 00
Transcribed Image Text:O (135) H X O Hints S Hints O (135) F X D (135) F X D (135) C X O (135) O (135) C X essment/showtest.php?action=skip&to=0 * 引 Timelimit: 3 hours. [x] Show Intro/Instructions The average final exam score for the statistics course is 74%. 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 higher. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 91, 94, 78, 97, 77, 80, 94, 94, 62, 64, 88, 71, 70 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: 1) 4/1) 8/1) 9/1) Ho: ? ?v H1: ? v?v .7/1) c. The test statistic ? v = (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 ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... 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 higher than 74 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is higher than 74. O The data suggest the populaton mean is significantly higher than 74 at a = 0.01, so there is statistically significant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is higher than 74, O The data suggest the population mean is not significantly higher than 74 at a= 0.01, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colorcd pens at the beginning of class is equal to 74. Hint: DII DD F4 F5 EZ F8 F9 F10 F12 24 & ) 4 6 7 9 R T Y P * 00
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