ELEMENTARY STATISTICS

1. The Tunxis Bookstore anticipates that, during the first 2 weeks of the semester (Monday through Friday), an average of at least 15 sales per hour will be made between 8 am. and 8 p.m. Thus, the null hypothesis is \({{H}_{0}}:\mu \ge 15\). Name the alternative hypothesis, Ha.
2. During the 120 hours named above, a tally is kept of the number of sales per hour. These values are in the given grid. Enter those numbers into column 1, labeled "Sales per Hour".
3. Produce a histogram of the numbers in column 1. Does it appear to have a normal shape? Why or why not?
4. Have Minitab, produce x-bar and s, the point estimators of this sample in column 1.
5. Specific to this problem, what would be the result of an alpha-error? How is this significant to the bookstore staff? How is this important to the students purchasing texts at this time of the semester?
6. Let \(\alpha \) = .04. Use Minitab to name the z-score which cuts off the reject area.
7. Using the s in IV, find \({{s}_{{\bar{X}}}}\)
8. State the reject rule in terms of x-bar.
9. Use the x-bar in N to draw a conclusion and word it appropriately.
10. What would be the result of a beta-error in this problem? How is this significant to the bookstore staff? How is this important to the students purchasing texts at this time of the semester?
11. If the actual \(\mu \) = 14, use Minitab to find the beta-error.
12. What sample size would be needed to maintain an alpha-error of .02 and a beta-error of .05?

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Solution: The downloadable solution consists of 5 pages, 503 words and 3 charts.
Deliverable: Word Document