STAT 200 QUIZ 2 WEEKS 3, 4, 5, 6-For a set of numbers

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STAT 200 QUIZ 2 WEEKS 3, 4, 5, 6-For a set of numbers

STAT 200 QUIZ 2 WEEKS 3, 4, 5, 6 (16 @ 0.5 pts = 8 points)SHOW YOUR CALCULATIONS NOT SOFTWARESUBMIT ANSWER SHEET ONLY NOT THESE QUIZ PROBLEMS1. For a set of numbers, if the mean is equal to the median, its distribution might be:a. Right-skewedb. Left-skewedc. Normally distributedd. Positively-skewed2. In the graph, there are two distrubitions and we can tell (Select ALL that apply):a. The mean of distribution A> the mean of distribution Bb. The mean of distribution A < the mean of distribution Bc. The standard deviation of distribution A> the std deviation of distribution Bd. The standard deviation of distribution A= the st deviation of distribution B3. (T/F) A BOX PLOT gives us considerable information about a data set, including the number of data pointsin any given range.4. There are 20 coupons rolled up and placed inside round plastic balls in a box. There are 3 different typesof coupons: 10 of them can be redeemed for “free drinks”, 5 can be redeemed for “free desserts”, and 5 canbe redeemed for “free entrees”. If you shake the box and then randomly select one coupon. What’s theprobability that you will get a “free entree coupon”? (a) 25% (b) 10% (c) 20% (d) 50% (e) None of these5. Mary was tossing a coin. She tossed three times. What’s the probability that at the first toss she gets ahead, the second toss she gets a tail at and the third time she get a tail? (a) 3/8 (b) 0.50 (c) 12.5% (d) 25%6. 100,000 people: twenty percent are children younger and 7% of those children are malnourished. Howmany children malnourished? (a) 1000 (b) 1400 (c) 1200 (d) 16007. A normal distribution of data points has a mean of 15 and a standard deviation of 5. What is thestandardized Z-VALUE for a data point with a value of 7? (a) +1.3 (b) -1.6 (c) -2.1 (d) +1.618. In this data set above, what is the probability that a data point is 7 or less?(a) 4.5% (b) 0.095 (c) 0.055 (d) 55%9. TOSSING A COIN: Using the Normal to approximate the Binomial (NOT the complex formulas) with aWhat is the probability of (binomial) data getting 17 to 21 heads out of 36 tosses? THE RANGE FOR WHICHWE DETERMINE THE Z VALUES FOR THE LOW AND HIGH ENDS IS?(a) 17 to 21 (b) 17.5 to 19.5 (c) 16 to 22 (d) 16.5 to 21.510. What are the MEAN and Standard deviation approximations we use for this calculation?(a) 18 and 3 (b) 17 and 10 (c) 18 and 9 (d) 16 and 3 (e) None of these11. What are the z-Values that correspond to the range you determined in #9 above?(a) +0.5 and -1.17 (b) -0.5 and +1.17 (c) – 0.16 and +0.38 (d) none of these12. For these z-Values from #11, what are the areas (probabilites) to the LEFT ?(a) 0.3085 and 87.9% (b) 3.85% and 0.0879 (c) 0.4801 and 13% (d) 4.81% and 95.2%13. FINALLY, what is the approximate probability of 17 to 21 heads out of 35 coin tosses using the Normal toapproximate the Binomial?(a) 67% (b) 57% (c) 0.43 (d) 0.057 (e) None of these14. CONFIDENCE INTERVALS IF WE HAVE THE MEAN BUT NOT THE STANDARD DEVATION WE USE THE_______, BUT IF WE HAVE THE MEAN AND THE STANDARD DEVAITION WE USE THE _________(a) z-Tables and t-Tables (b) t-Tables and z-Tables (c) neither, we can’t calculate a confidence interval.15. Using the t-Tables with an ? of 5% the Confidence Interval would have limits at:(a) 5% and 95% (b) 0.025 and 0.975 (c) 1% and 99% (d) none of these16. Calculate the 99% Confidence Interval for 41 sample data points with a mean (m) of 25 and a standarddeviation (s) of 5(a) 21 to 29 (b) 23 to 27 (c) 24 to 26 (d) 22.5 to 27.52NAME:____________________________ 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.12345678910111213141516CALCULATIONS (SHOW PROBLEM NUMBER) (NO SOFTWARE – PARTIAL CREDIT POSSIBLE IF WORK SHOWNEVEN WITH INCORRECT ANSWER)3