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 and in symbols. 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 conclude that (is/is not) sufficient evidence to
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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 g-i. Thank you
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