The average final exam score for the statistics course is 43%. 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 larger. The final exam scores for the 19 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 54, 38, 45, 47, 42, 42, 48, 38, 56, 51, 46, 41, 43, 41, 37, 40, 53, 43, 43 Copy to clipboard What can be concluded at the = 0.05 level of the significance? a. For this study, we should use Select an enswer b. The ll and alternative hypothese would be: Ho: ? Select an answer H1: ?v Select an answer c. The test statistic ? v places.) The p-value - The p-value is ? va f. Based on this, we should Select an answer ♥ the null hypothesis. g. Thus, the coenelusien is that.. Select an anewer (please show your answer to 3 decimal (Please show your answer to 4 decimal places.)

A First Course in Probability (10th Edition)
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The average final exam score for the statistics course is 43%. 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 larger. The final exam scores for the 19 randomly selected students
who were given the colored pens are shown below. Assume that the distribution of
the population is normal.
54, 38, 45, 47, 42, 42, 48, 38, 56, 51, 46, 41, 43, 41, 37, 40, 53, 43, 43
Copy to clipboard
What can be concluded at the = 0.05 level of the significance?
a. For this study, we should use Select an enswer
b. The null and alternative hypothese would be:
Но:
V Select an answer
H1: ?
Select an answer v
c. The test statistic ? v =
(please show your answer to 3 decimal
places.)
aThe p-value =
SThe p-value is ? va
f. Based on this, we should Select an answer
g. Thus, the eenelusion is that ...
Select an anewer
(Please show your answer to 4 decimal places.)
the null hypothesis.
Transcribed Image Text:The average final exam score for the statistics course is 43%. 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 larger. The final exam scores for the 19 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 54, 38, 45, 47, 42, 42, 48, 38, 56, 51, 46, 41, 43, 41, 37, 40, 53, 43, 43 Copy to clipboard What can be concluded at the = 0.05 level of the significance? a. For this study, we should use Select an enswer b. The null and alternative hypothese would be: Но: V Select an answer H1: ? Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) aThe p-value = SThe p-value is ? va f. Based on this, we should Select an answer g. Thus, the eenelusion is that ... Select an anewer (Please show your answer to 4 decimal places.) the null hypothesis.
Expert Solution
Step 1

In order to determine whether the mean score of students who were given the colored pen is greater than 43 or not, conduct a single mean comparison hypotheses test.

The hypotheses test will contain two hypotheses: null hypothesis and alternate hypothesis. The alternate hypothesis is about the claim which is to be tested. If p-value<α, where, α is significance level, then null hypothesis can be rejected and it can be concluded that test is significant.

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