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 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 85, 71, 89, 88, 62, 71, 94, 82, 67, 70, 98, 88, 80, 88, 92, 65 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? ? H1: ? 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 ? f. Based on this, we shoul v Select an answer the null hypothesis. acсept g. Thus, the final conclusi reject fail to reject The data suggest ean final exam score for students who are given colored pens at the beginning of class is not significantly higher than 74 at a = 0.10, 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. The data suggest the population mean is not significantly higher than 74 at a = 0.10, 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 equal to 74. The data suggest the populaton mean is significantly higher than 74 at a = : 0.10, 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 16
randomly selected students who were given the colored pens are shown below. Assume that the distribution of
the population is normal.
85, 71, 89, 88, 62, 71, 94, 82, 67, 70, 98, 88, 80, 88, 92, 65
What can be concluded at the the a = 0.10 level of significance level of significance?
a. For this study, we should use
Select an answer
b. The null and alternative hypotheses would be:
Ho:
?
?
H1:
?
?
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 ?
f. Based on this, we shoul v Select an answer
the null hypothesis.
ассept
g. Thus, the final conclusi
reject
fail to reject
OThe data suggest
ean final exam score for students who are given colored pens
at the beginning of class is not significantly higher than 74 at a = 0.10, 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.
OThe data suggest the population mean is not significantly higher than 74 at a = 0.10, 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 equal to 74.
OThe data suggest the populaton mean is significantly higher than 74 at a = 0.10, 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.
Transcribed Image Text: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 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 85, 71, 89, 88, 62, 71, 94, 82, 67, 70, 98, 88, 80, 88, 92, 65 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? ? H1: ? ? 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 ? f. Based on this, we shoul v Select an answer the null hypothesis. ассept g. Thus, the final conclusi reject fail to reject OThe data suggest ean final exam score for students who are given colored pens at the beginning of class is not significantly higher than 74 at a = 0.10, 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. OThe data suggest the population mean is not significantly higher than 74 at a = 0.10, 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 equal to 74. OThe data suggest the populaton mean is significantly higher than 74 at a = 0.10, 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.
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