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- Two different labs, Rodent Racers and Squeeky Labs, measured the time for mice to complete a maze. The results are summarized in the following two boxplots. Squeeky Labs 8 15 20 25 28 Rodent Racers + -5 15 20 20 10 15 25 28 20 25 Completion Time (a) Which lab contained more mice? Rodent Racers Squeeky Labs Not enough information to tell. 30 30 (b) Which lab had the smallest completion time? Rodent Racers Squeeky Labs Not enough information to tell. + 30 30 (c) According to range, which lab had the smallest variation (smallest spread) in completion time? Rodent Racers Squeeky Labs Not enough information to tell.Count the number of strings of m 0s and n 1s that have exactly k blocks of consecutive 1s.A shoe company wants to determine if the new tread on its top line of running shoes lasts longer than the original tread. The company recruits 50 runners for a study. Each runner will perform their typical workout wearing one shoe with the original tread on one foot and another shoe with the new tread on the other foot. The foot that wears the new type of tread will be decided by flipping a coin. After one month, the runner will wear the new type of tread on the opposite foot. At the end of the second month, the difference in tread wear (New - Original) will be calculated. What type of sampling is described in this study? What is the appropriate inference procedure? one-sample t-test for μ one-sample z-test for p one-sample t-test for diff two-sample t-test for new original
- OSM HTAM MATH 1420 11. A roulette wheel has 38 slots around the rim. The first 36 slots are numbered from 1 to 36. Half of these 36 slots are red, and the other half are black. The remaining 2 slots are numbered 0 and 00 and are green. As the roulette wheel is spun in one direction, a small ivory ball is rolled along the rim in the opposite direction. The ball has an equally likely chance of falling into any one of the 38 slots. Find each of the following: a. The probability that the ball lands in a black slot. b. The probability that the ball lands on 0 or 00. C. The probability that the ball does not land on a number from 1 through 12 d. The probability that the ball lands on an odd number or on a green slotShow your workIn a gambling game, I roll two dice and win $1 if the sum of my two rolls is largerthan 7. I lose $1 if the sum of my two rolls is smaller than 7. In any other cases, Idon’t lose or win anything. I am going to repeat this game 72 times. c) Now make a box model for the number of times I win, including the values onthe tickets, the number of repeats of each ticket, and how many draws we willmake with replacement from the box. The average of the tickets in the box from (c) is ___________ and the SD is___________.
- likely to get 19. Shreya conducted a study to see if name-brand flashlight batteries last longer than gencric batteries, on avcrage. For each of 20 flashlights, she flipped a coin. If it was heads shc uscd namc-brand batteries and if it was tails she used the generic brand. She left the flashlights on and recorded how long it took for the batterics to wear out. The results showed that the flashlights that had the name-brand batteries, on average, lasted significantly longer than the flashlights that used the generic brand. What type of design is this study? a. This study is an example of a simple random sample. b. This study is an example of a matched pairs experiment. This study is an example of a completely randomized experiment. This study is an example of an obscrvational study. c. d.You are coaching a high school basketball team and you realize the importance of free throw shooting, the skill to make foul shots. The question is: how much practice time should be spent in shooting free throws. Thus, you divide your team of 21 players into three groups and practice according to the following schedule that produces thee results after one month. The results are the number of free throws made in 50 attempts. 10 minutes per practice session 15 minutes 20 minutes 25 26 34 30 32 33 31 30 32 33 32…A 7th grade science teacher would like to know if spending more time doing class experiments will help his students preform better on tests. In a day, he teaches 4 periods of science, so for his 1st and 3rd period classes, he taught as he normally does with mostly lectures and occassional class experiments. For his 2nd and 4th period classes, he did a class experiment everyday with minimal lectures. There were n=25 different students in each of his classes. He then wanted to compare the exam averages between his classes to see if student preformance was significantly different. Which statistical tests should he use?
- A shoe company wants to determine if the new tread on its top line of running shoes lasts longer than the original tread. The company recruits 50 runners for a study. Each runner will perform their typical workout wearing one shoe with the original tread on one foot and another shoe with the new tread on the other foot. The foot that wears the new type of tread will be decided by flipping a coin. After one month, the runner will wear the new type of tread on the opposite foot. At the end of the second month, the difference in tread wear (New – Original) will be calculated. What type of sampling is described in this study? What is the appropriate inference procedure? one-sample t-test for one-sample z-test for p one-sample t-test for two-sample t-test forPart 2 Think of four random integers q, r, s, and t selected from 0 through 9. Let a₁ = 0.qrst, where q, r, s, and t are your numbers. Think of four more random integers u, v, w, and x, and add them to the end of a₁ to create a2 = 0.qrstuvwx. Repeat this process to generate a3, 94, and a5. If this process is continued infinitely many times, then explain whether or not the sequence {an} converges, diverges, or it is impossible to determine.Researchers want to know if coffee improves athletic endurance. They randomly assign 50 people to drink a cup of coffee, and 50 people to not drink coffee. Then all participants are asked to walk on a treadmill until they get tired. Researchers hypothesize that coffee drinkers will show more athletic endurance and walk on the treadmill for longer than non-coffee drinkers. What statistical test should researchers use to test their hypothesis? O At-test A chi-square O A Pearson correlation An ANOVA