3. A professor believes that students should spend two hours outside of class of coursework for each hour in class. For a three-hour-per-week class, this means that students are expected to do 6 hours of work outside class. The professor randomly selects 8 students from a class and asks how many hours they studied during the last week. The sample values are 1, 3, 4, 4, 6, 6, 8, 12. (H5C.6) a. Assuming the number of study hours per week is normally distributed in the population, can the professor conclude at the 0.05 level of significance that the students are studying on average more than 6 hours per week? b. Construct a 90 percent confidence interval for the population mean number of hours studied per week.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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#3 A,B

3.
A professor believes that students should spend two hours outside of class of coursework for each hour
in class. For a three-hour-per-week class, this means that students are expected to do 6 hours of work
outside class. The professor randomly selects 8 students from a class and asks how many hours they
studied during the last week. The sample values are 1, 3, 4, 4, 6, 6, 8, 12. (H5C.6)
a. Assuming the number of study hours per week is normally distributed in the population, can the
professor conclude at the 0.05 level of significance that the students are studying on average
more than 6 hours per week?
b. Construct a 90 percent confidence interval for the population mean number of hours studied
per week.
Transcribed Image Text:3. A professor believes that students should spend two hours outside of class of coursework for each hour in class. For a three-hour-per-week class, this means that students are expected to do 6 hours of work outside class. The professor randomly selects 8 students from a class and asks how many hours they studied during the last week. The sample values are 1, 3, 4, 4, 6, 6, 8, 12. (H5C.6) a. Assuming the number of study hours per week is normally distributed in the population, can the professor conclude at the 0.05 level of significance that the students are studying on average more than 6 hours per week? b. Construct a 90 percent confidence interval for the population mean number of hours studied per week.
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