Stat Assignment
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QUIZ2-WK6.docxSTAT 200 QUIZ 2 WEEKS 3, 4, 5, 6 (16 @ 0.5 pts = 8 points) SHOW YOUR CALCULATIONS NOT SOFTWARE
SUBMIT ANSWER SHEET ONLY, NOT THESE QUIZ PROBLEMS
1. For a set of numbers, if the mean is equal to the median, its distribution is likely:
a. Right-skewed
b. Left-skewed
c. Positively-skewed
d. Normally distributed
2. In the graph, there are two distrubitions and we can tell (Select ALL that apply):
a. The mean of distribution A is greater than the mean of distribution B
b. The mean of distribution A is less than the mean of distribution B
c. The median of distribution A equals the median of distribution B
d. The standard deviation of distribution A is less than than the std deviation of distribution B
3. (T/F) A BOX PLOT gives us considerable information about a data set, but NOT the number of data points in any given range.
4. There are 25 coupons rolled up and placed inside round plastic balls in a box. There are 3 different types of coupons: 10 of them can be redeemed for “free drinks”, 10 can be redeemed for “free desserts”, and 5 can be redeemed for “free entrees”. If you shake the box and then randomly select one ball (with coupon), what’s the probability that you will get a “free entrée” coupon ? (a) 25% (b) 10% (c) 20% (d) 50% (e) None of these
6. 110,000 people: 30% are children and 9% of those children are malnourished. About how many children are malnourished? (a) 1000 (b) 1400 (c) 2000 (d) 3000
7. A normal distribution of data points has a mean of 20 and a standard deviation of 8. What is the standardized Z-VALUE for a data point with a value of 14? (a) -0.75 (b) +1.5 (c) -2.1 (d) +0.75
8. In this data set above, what is the approximate probability that a data point is 14 or less?
(a) 23% (b) 0.195 (c) 0.77 (d) 55%
9. TOSSING A COIN: Using the Normal to approximate the Binomial (NOT the complex formulas). What is the probability of (binomial) data getting 17 to 21 heads out of 36 tosses? THE RANGE FOR WHICH WE DETERMINE THE Z VALUES FOR THE LOW AND HIGH ENDS IS?
(a) 17 to 21 (b) 16.5 to 21.5 (c) 16 to 22 (d) 17.5 to 19.5
10. What are the MEAN and Standard Deviation approximations we use for this calculation?
(a) 18 and 9 (b) 17 and 10 (c) 18 and 3 (d) 16 and 3 (e) None of these
11. What are the z-Values that correspond to the range you determined in #9 above?
(a) -0.5 and +1.17 (b) - 0.16 and +0.38 (c) +0.5 and -1.17 (d) none of these
12. For these z-Values from #11, what are the areas (probabilites) to the LEFT ?
(a) 4.81% and 95.2% (b) 3.85% and 0.0879 (c) 0.4801 and 13% (d) 0.3085 and 87.9%
13. FINALLY, what is the approximate probability of 17 to 21 heads out of 36 coin tosses using the Normal to approximate the Binomial?
(a) 67% (b) 0.43 (c) 57% (d) 0.057 (e) None of these
14. CONFIDENCE INTERVALS IF WE HAVE THE MEAN AND THE STANDARD DEVIATION WE USE THE _______, BUT IF WE HAVE THE MEAN AND NOT THE STANDARD DEVIATION WE USE THE _________
(a) t-Tables and z-Tables (b) z-Tables and t-Tables (c) neither, we can’t calculate a confidence interval.
15. Using the t-Tables with an α of 5% the Confidence Interval would have limits at:
(a) 5% and 95% (b) 1% and 99% (c) 0.025 and 0.975 (d) none of these
16. Calculate the 99% Confidence Interval for 41 sample data points with a mean (m) of 25 and a standard deviation (s) of 5 (ROUNDED OFF TO WHOLE NUMBERS)
(a) 23 to 27 (b) 21 to 29 (c) 24 to 26 (d) 22 to 28
NAME:____________________________ DATE:________________________
STAT 200 WK6 QUIZ 2 ANSWER SHEET (16 @ 0.5 PTS EACH = 8 POINTS)
PUT ANSWERS HERE (AND ANY CALCULATIONS) NOT ON QUESTION PAGES.
SUBMIT ONLY THIS PAGE TO THE ASSIGNMENT FOLDER.
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SHOW WORK HERE:
