Suppose you are provided with a random number generator that outputs numbers between 0 and 1. Describe a simple computer experiment to test if the numbers are uniformly distributed on the interval.

A task requires the completion of four activities. A teacher would like to know if differences in the sequence of the four activities results in different task completion times. The teacher selects three students and demonstrates the activities in random order to the students. Then each student completes the task with each of the activity sequences. The completion times are recorded. The following table shows the minutes for each student to complete each task. Assume that the populations from which the sample drawn are normally distributed. (use 2 digits after decimal point)     Ayşe Sema Ahmet A 21 20.1 21.4 B 17.6 18.7 21.4 C 20 20.1 22.1 D 21.3 18.8 20.5                                 1.    Complete the following analysis of variance table.   Source of Variation SS Df MS F-Ratio Between Groups (Students) G Answer Answer Answer Answer Between Blocks (Activities) B 4.83 Answer Answer Answer Error 6.74 Answer Answer…

How many possible random samples of size n = 3 can be drawn from a population of size 10?

An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…

Suppose that when a new machine is functioning well, 92% of the items produced are non-defective. Assume that a random sample of 5 parts produced on the machine is selected and we are interested in the number of defective parts found. What are the conditions for this experiment to be considered a binomial experiment?

College Board, the company that runs AP testing, wants to expand access to AP courses. Some schools require that students takethe AP exam at the end of the course while others leave the AP exam as optional. A random sample of 200 students from schoolswhere AP exams are required had 84 students currently enrolled in at least one AP course. Another random sample of 190students from schools where the AP exam is optional had 98 students currently enrolled in at least one AP course.(a) College Board want to test the claim that requiring the AP exam lowers the proportion of students who enroll in at least oneAP course. Carry out a test of this claim at the 5% level of significance. (b) Based on your decision in part (a), what error may have been made, a Type I or Type II error? Give a consequence of thaterror. (c) Interpret the p-value from part (a) in the context of this question.

Explain the difference between a stratified sample and a cluster sample. (Select all that apply.) In a stratified sample, random samples from each strata are included In a stratified sample, every sample of size n has an equal chance of being included. In a stratified sample, the clusters to be included are selected at random and then all members of each selected cluster are included In a cluster sample, every sample of size n has an equal chance of being included. In a stratified sample, the only samples possible are those including every kth item from the random starting position In a cluster sample, the only samples possible are those including every kth item from the random starting position In a cluster sample, the clusters to be included are selected at random and then all members of each selected cluster are included. In a cluster sample, random les from each strata are included.

Data packets containing 100 bits are transmitted over a communication link. Given that the probability of a bit 1 in a data packet is p = 0.2, generate the random outcomes for 40 data packets. Find the occurrence of bit 1 and its relative frequency in each packet.