The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam scorefor students who are given colored pens on the first day of class is lower. The final exam scores for the 14 randomlyselected students who were given the colored pens are shown below. Assume that the distribution of the population isnormal.56, 57, 71, 58, 58, 80, 84, 49, 67, 63, 68, 77, 70, 71What can be concluded at the the a = 0.05 level of significance level of significance?a. For this study, we should use Select an answerb. The null and alternative hypotheses would be:Но: ?H1:? ▼? vc. 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 ? vf. Based on this, we should Select an answer the null hypothesis.g. Thus, the final conclusion is that ...The data suggest the population mean is not significantly lower than 74 at a = 0.05, so there is statisticallyinsignificant evidence to conclude that the population mean final exam score for students who are givencolored pens at the beginning of class is equal to 74.The data suggest the populaton mean is significantly lower than 74 at a = 0.05, so there is statisticallysignificant evidence to conclude that the population mean final exam score for students who are givencolored pens at the beginning of class is lower than 74.The data suggest that the population mean final exam score for students who are given colored pens at thebeginning of class is not significantly lower than 74 at a = 0.05, so there is statistically insignificantevidence to conclude that the population mean final exam score for students who are given colored pens atthe beginning of class is lower than 74.

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Asked Mar 2, 2020
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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 lower. The final exam scores for the 14 randomly
selected students who were given the colored pens are shown below. Assume that the distribution of the population is
normal.
56, 57, 71, 58, 58, 80, 84, 49, 67, 63, 68, 77, 70, 71
What can be concluded at the the a = 0.05 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:
? ▼
? v
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
f. Based on this, we should Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
The data suggest the population mean is not significantly lower than 74 at a = 0.05, 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 lower than 74 at a = 0.05, 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 lower than 74.
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 lower than 74 at a = 0.05, 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 lower than 74.
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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 lower. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 56, 57, 71, 58, 58, 80, 84, 49, 67, 63, 68, 77, 70, 71 What can be concluded at the the a = 0.05 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: ? ▼ ? v 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 f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population mean is not significantly lower than 74 at a = 0.05, 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 lower than 74 at a = 0.05, 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 lower than 74. 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 lower than 74 at a = 0.05, 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 lower than 74.

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Expert Answer

Step 1

a)

For this study one tailed single sample t- test will be used.

From the provided information,

b)

The null and alternative hypotheses can be constructed as:

Statistics homework question answer, step 1, image 1

Sample size (n) = 14

The degree of freedom = 14 – 1 = 13

The mean and standard deviation can be obtained as:

Statistics homework question answer, step 1, image 2

Step 2

c)

The test statistic can be obtained as:

Statistics homework question answer, step 2, image 1

...

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