A professor at a large community college wanted to determine whether there is a difference in the means of final exam scores between students who took his statistics course online and the students who took his face-to-face statistics class. He believed that the mean of the final exam scores for the online class would be lower than that of the face-to-face class. Was the professor correct? The randomly selected 30 final exam scores from each group are listed.

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A professor at a large community college wanted to determine whether there is a difference in the means of final exam scores between students who took his statistics course online and the students who took his face-to-face statistics class. He believed that the mean of the final exam scores for the online class would be lower than that of the face-to-face class. Was the professor correct? The randomly selected 30 final exam scores from each group are listed.

 

Please answer letters d-f. Thank you

Online Class
67.6 41.2 85.3 55.9 82.4 91.2 73.5 94.1 64.7 64.7
70.6 38.2 61.8 88.2 70.6 58.8 91.2 73.5 82.4 35.5
94.1 88.2 64.7 55.9|88.2 97.1|85.3 61.8 79.4 79.4
Face-to-face Class
77.9 95.3 81.2 74.1 98.8 88.2 85.9 92.9 87.1 88.2
69.4 57.6 69.4 67.1 97.6|85.9 88.2 91.8 78.8 71.8
98.8 61.2 92.9 90.6 97.6| 100 95.3 83.5 92.9| 89.4
Is the mean of the Final Exam scores of the online class lower than the mean of the Final Exam scores of the
face-to-face class? Test at a 5% significance level. Answer the following questions:
a. Is this a test of two means or two proportions?
b. Are the population standard deviations known or unknown?
c. Which distribution do you use to perform the test?
d. What is the random variable?
e. What are the null and alternative hypotheses? Write the null and alternative hypotheses in words
symbols.
in
f. Is this test right, left, or two tailed?
g. What is the p-value?
h. Do you reject or not reject the null hypothesis?
i. At the level of significance, from the sample data, there
(is/is not) sufficient evidence to
conclude that
Transcribed Image Text:Online Class 67.6 41.2 85.3 55.9 82.4 91.2 73.5 94.1 64.7 64.7 70.6 38.2 61.8 88.2 70.6 58.8 91.2 73.5 82.4 35.5 94.1 88.2 64.7 55.9|88.2 97.1|85.3 61.8 79.4 79.4 Face-to-face Class 77.9 95.3 81.2 74.1 98.8 88.2 85.9 92.9 87.1 88.2 69.4 57.6 69.4 67.1 97.6|85.9 88.2 91.8 78.8 71.8 98.8 61.2 92.9 90.6 97.6| 100 95.3 83.5 92.9| 89.4 Is the mean of the Final Exam scores of the online class lower than the mean of the Final Exam scores of the face-to-face class? Test at a 5% significance level. Answer the following questions: a. Is this a test of two means or two proportions? b. Are the population standard deviations known or unknown? c. Which distribution do you use to perform the test? d. What is the random variable? e. What are the null and alternative hypotheses? Write the null and alternative hypotheses in words symbols. in f. Is this test right, left, or two tailed? g. What is the p-value? h. Do you reject or not reject the null hypothesis? i. At the level of significance, from the sample data, there (is/is not) sufficient evidence to conclude that
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