Five of a sample of 100 computers will be selected and tested How many ways are there to make this selection?
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Five of a sample of 100 computers will be selected and tested How many ways are there to make this selection?
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- Suppose we have a set of 37 lightbulbs, and we wish to select a random sample of 5 distinct bulbs from this set. How many possible such samples exist? There are possible samples of this size.A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. According to the manufacturer, bags should contain an equal number of each color. Students in a statistics class decided to use a chi-square procedure to test the manufacturer’s claim. They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table. Red Green Blue Yellow Orange 17 24 20 25 14 Which color contributes most to the chi-square test statistic? Red A Green B Blue C Yellow D OrangeIn a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 80% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours. A random sample of 625 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P(P >0.84), which is the probability that more than 84% of the people in the sample pass the test. Round your answer to four decimal places. 0 X
- A report describes a survey of 251 adult Americans. Participants in the survey were asked how often they disinfect their phone and were asked to respond with one of the following categories: more than once a week, once a week, every other, week, every three weeks, or less often than every three weeks. For this group, 9% responded more than once a week, 52% responded once a week, 26% responded every other week, 6% responded every three weeks, and 7% responded less often than every three weeks. Fill in the table below with the relative frequency distributions. How Often? Relative Frequency More than once a week Once a week Every other week Every three weeks Less often than every three weeksQuestion 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 4Suppose a university wishes to compare the effectiveness of four learning modalities (Face-to-Face, Online, Blended, Course Learning Module) for a particular course. Twenty-four students are randomly assigned to the learning modalities, with 7, 6, 6 and 5 respectively. At the end of course, a test (out of 50) was given and the performance of the students were recorded as follows: Online Blended 30 CLM 25 Face-to-Face 23 20 28 23 30 15 35 28 15 15 18 28 33 20 25 23 25 33 28 40 25 18 What statistical test is appropriate for the given data? Select the correct response.: O One-Way ANOVA one-sample t- test O z-test O two samples t-test
- A researcher uses an anonymous survey to investigate the study habits of American college students. The entire group of American college students is an example of a(n)2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:A Statistics instructor wishes to know the average age (in month) of his 200 students. He decides to choose 25 students from the class and ask them for their age. All 200 names are put in a hat and 25 names are then chosen at random (without replacement). The average age of the students chosen is observed to be 231 months. The group of 25 students is known as what?
- Itranscript One male and one female dam rat pup were randomly selected from 8 litters to perform the swim maze. Each pup was placed in the water at one end of the maze and allowed to swim until it escaped at the opposite end. If the pup failed to escape after a certain period of time, it was placed at the beginning of the maze and given another chance. The experiment was repeated until each pup accomplished three successful escapes. The table to the right reports the number of swims required by each pup. Is there sufficient evidence of a difference between the mean number of swims required by male and female pups? Use a=0.01. Comment on the assumptions required for the test to be valid. B. t> Litter 1 2 3 OC. t 10 12 Female 11 [6526675 10A 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 guessingSWIMMER’S FLEXIBILITY STUDY Swimming requires complete body movement as defined in sports science. A swimmer’s flexibility helps in his/her movement in water, thus making him/her a faster swimmer. In a study conducted to determine if there is an improvement in swim speed after doing flexibility exercise, 15 swimmers of the same characteristics were randomly selected. They were asked to do a 25-m freestyle and their swim speed (in seconds) were recorded. After this, a flexibility exercise was done. All the swimmers were then asked to do another 25-m freestyle and their swim speed (in seconds) were also recorded. The data collected are given below and can also be found in the worksheet “swim_speed”of excel file “exer3_data.xlsx”. R outputs can be found in the file “exer3_outputs.pdf”.(Use before – after in your computations Swimmer 1 2 3 4 5 6 7 8 Before 16.87 19.42 20.04 22.82 24.24 17.76 23.91 17.17 After 15.82 18.47 20.43 21.76 23.88 18.12 20.96 16.03 Swimmer 9 10 11 12…