The supply department has 9 different electric motors and 4 different starting switches. In how many ways can 4 motors and 2 switches be selected for an experiment concerning a tracking antenna?
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- 600 students at Drew High School were surveyed. 269 of them were males. 455 of the students' wear jewelry, and 300 of the students that wear jewelry are females.In order to conduct an experiment, 5 subjects are randomly selected from a group of 50 subjects. How many different groups of 5 subjects are possible? the number of possible different groups is9. A group of 50 single men were asked which dating apps they had on their phones. The follo data were collected: 33 of the men had the Tinder app. 30 of the men had the Coffee Meets Bagel app. 26 of the men had the Hinge app. 16 of the men had both the Tinder and Coffee Meets Bagel apps. 14 of the men had both Tinder and Hinge apps. 18 men had both Hinge and Coffee Meets Bagel apps. 7 men had all three apps on their phones. a) Represent this information in a Venn diagram: b) Calculate the number of single men who have none of these apps on their phone. c) How many single men only had Tinder on their phone? d) How many students own at most two of the apps?
- 1. An experiment consists of flipping a coin until either heads is flipped 6 times, or the same side shows up 3 times in a row. The random variable X assigns the number of total coins flips to each outcome. What number is assigned to HTTT? 2. A person picks a number between 1 and 28536. The random variable Z assigns the number picked to each outcome. What number is assigned to 267927? 3. A person picks a number between 1 and 285336. The random variable Z assigns the 0 to an even number 1 to an odd number. What number is assigned to 267927?8. A student runs an experiment to test how microwave power and temperature affect popping. Each bag of popcorn can be popped for 3 minutes or 4 minutes. The microwave power can be set to low, medium and high. Each combination of time and power is tested on one bag of popcorn and the number of unpopped kernels is recorded. The number of treatments in this experiment are: • 12 • 6 • 4Question 3 To compare three brands of computer keyboards, 4 data entry specialists were randomly selected. Each specialist used all three keyboards to enter the same kind of text material for 10 minutes, and the number of words entered per minute was recorded. SST, SSB, and SSE can be calculated to be 392.6667, 143.5833, and 2.6667, respectively. When you make a pairwise comparison between Brand A and Brand B, what is 95% Tukey Confidence interval? (Consider tables below) Keyboard Brand Specialist A B C 1 177 67 63 2 71 62 59 3 74 63 59 67 57 54 Summary Count Sum Average Variance 3 207 69 52 3 192 64 39 3 196 65,33333 60,33333| 3 178 59,33333 46,33333 14 289 72,25 18,25 249 62,25 16,91667 235 58,75 13,58333 df MS F P-value F critical SS 143,5833 3 47,86111 107,6875 1,32E-05 4,757063 392,66672 196,3333 441,75 3,07E-07 5,143253 2,6666676 0,444444 538,9167 11 4 1 2 3 14 A B C ANOVA Source of Variation Specialist Brand Error Total 4 4
- 2. A calibration study needs to be conducted to see if the readings on 15 test machines are giving similar results. In how many ways can 5 of the 15 machines be selected for the initial investigation?A campus researcher wanted to investigate the factors that affect visitor travel time in a complex, multilevel building on campus. Specifically, he wanted to determine whether different building signs (building maps versus wall signage) affect the total amount of time visitors require to reach their destination and whether that time depends on whether the starting location is inside or outside the building. Three subjects were assigned to each of the combinations of signs and starting locations, and travel time in seconds from beginning to destination was recorded. How should the data be analyzed? Wall Signs Map Starting Room Interior 141, 119, 238 85, 94, 126 Randomized block design O Completely randomized design 2 x 2 factorial design Levene's test Exterior 224, 339, 139 226, 129, 1302.4.4 A bag contains 1 red, 1 black and 1 green marble. I randomly select 1 of the marbles and record its color. I then replace it in the bag, shake the bag, and randomly select a second marble, again recording its color. The second marble is then replaced and a third marble is randomly selected and its color recorded. How many different samples of 3 colors could occur?
- A person, Joe, claims to be able to "smell" an illness based on the odor of a person's clothing. Joe is given 12 shirts, each worn by a different person, some of whom had the illness and some of whom did not. The shirts were given to Joe in random order and he had to decide whether each shirt had been worn by an ill patient or by a healthy patient. joe identified 11 of the 12 shirts correctly. If we assume that Joe was just guessing, he would have probability 1/2 of correctly identifying each shirt. Find the probability that Joe would identify AT LEAST 11 shirts correctly by random guessingAccording to the National Center for Education Statistics, 43% of the college students work full time. A survey of 900 randomly selected college students is to be conducted. For such groups of 900, would it be unusual to get 735 college students who work fulltime?You want to stimulate an experiment to draw cards out of a deck. You plan to draw 35 cards (with replacements) and list which cards you drew. How many times would you expect to draw a face card
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