STA 296 Lab 1 - lab PDF

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Professor Cain STA 296 17 September 2018 Lab 1 1. There are six possible distinct sample sizes of two groups. Those are as follows: a. Female Democrat (FD) b. Female Republican (FR) c. Male Democrat (MD) d. Male Republican (MR) 2. There is a 16.67% chance; ⅙ 3. There is a 33.33% chance; ⅓ (two sixths originally) 4. The population is all of the 113 friends you’ve included. 5. The inference can be compromised in multiple ways, two of them are as follows: a. The numbers of students in each category are not equal (40 in online classes and 59 in in-class courses) b. Since the students volunteered, it cannot be considered a randomized study 6. Letters per question: (in order by letters) a. 4 b. 1 c. 5 d. 6 e. 2

f. 3 7. A

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8. Roughly 81.5% of students study between 10 to 17.5 hours a week. 9. Roughly 13.5% of students study between 17.5 to 20 hours a week. 10. Roughly 2.5% of students study over 20 hours a week. 11. Equation set up: (x = multiplication; x = variable) a. (13.5 x .2) + (15.9 x .5) + (19.1 x .3) i.

x = 16.38

12. Simplify (14 [over] 10) a. 14!/10! = 14!/10!4! = 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 [over] 4 x 3 x 2 x 1 = 14 x 13 x 12 x 11 [over] 4 x 3 x 2 x 1 = 7! x 13 x 11 [over] 1 = 2402 13. (n [over] k) p^k x q^n x k a. P(x = 3) = (10 [over] 3) (.25)^3 (1 x .25)^10.3 = .2503 (roughly 25%) 14. 16 Invoices Sampled Equation (x = multiplication x = variable) a. 16 x .1 = 1.6 b. P(x [less than] 1.6) = Σ [1.5 on top] [x = 0 on bottom] (16 [over] x) (.10)^x (.4) ^10 x x 15. Below I have the screenshot of the plot distribution I used on StatKey. a. P( less than 700) = about .961 b. Roughly 573.24...