Two new drugs are to be tested using a group of 50 laboratory mice, each tagged with a number for identification purposes. Drug A is to be given to 17 mice, drug B is to be given to another 17 mice, and the remaining 16 mice are to be used as controls. How many ways can the assignment of treatments to mice be made? (A single assignment involves specifying the treatment for each mouse-whether drug A, drug B, or no drug.) (Enter the exact number or an equivalent algebraic expression.) 1.14899529 · 1022

One pro basketball player was known for being a good shooter. In games during 1980-1982, when he missed his first free throw, 47 out of 54 times he made the second one, and when he made his first free throw, 248 out of 285 times he made the second one. Complete parts (a) through (c). a. Form a contingency table that cross tabulates the outcome of the first free throw (made or missed) in the rows and the outcome of the second free throw (made or missed) in the columns. 2nd free throw made 2nd free throw missed Total 1st free throw made 1st free throw missed Total b. For a given pair of free throws, estimate the probability that the player made the first free throw. (Hint: Use counts in the row margin.) The probability is (Round to the nearest hundredth as needed.) For a given pair of free throws, estimate the probability that the player made the second free throw. (Hint: Use counts in the column margin.) The probability is. (Round to the nearest hundredth as needed.) c. Estimate the…

You want to plan a trip to visit four of the following cities: Athens, Barcelona, Dublin, Montreal, Paris, Rome and Vienna. An itinerary consists of a list of four cities to be visited, in order.   How many different itineraries are there?

You work at McKinsey Company and you are in charge of assigning 6 new consultant analysts to projects. There are 5 projects in total. For a given project, up to 3 new consultants can be assigned (i.e., either 0,1,2 or 3 consultants will be assigned to each project). Each consultant is assigned to exactly one project. The table below indicates on which projects the new consultants can be assigned based on their skills and areas of expertise.                                        Project A    Project B    Project C    Project D    Project E Consultant 1                       Yes            Yes             Yes               No              Yes Consultant 2                       No             Yes             No               No               Yes Consultant 3                       Yes            No              No               Yes              Yes Consultant 4                       Yes            Yes             Yes              Yes               No Consultant 5                       Yes…

Researchers wanted to determine if there was an association between daily cantaloupe consumption and the occurrence of high cholesterolhigh cholesterol.The researchers looked at 93 comma 17393,173 women and asked them to report their cantaloupe​-eatingeating habits. The researchers also determined which of the women had high cholesterolhigh cholesterol. After their​ analysis, the researchers concluded that consumption of two or more servingstwo or more servings of cantaloupecantaloupe per day was associated with a reduction in high cholesterolhigh cholesterol. Complete parts​ (a) through​ (c) below. ​(a) What type of observational study was​ this? Explain.     A. This was a​ cross-sectional study because all information about the individuals was collected at a specific point in time.   B. This was a cohort study because it identified a group of individuals to participate in the study and observed the group over a long period of time.   C. This was a​ case-control study…

A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…

Mexico City Bank of Commerce and Industry is a busy bank. Due to different customers' needs, it needs to assign a different number of tellers at the counter at different times of each day. The table below indicates the number of bank Employees/tellers needed at different hours of a day (from 9 am. to 5 pm) at one of its branches. The branch will hire two different types of Employees/tellers: Full-time Teller and Part-time Tellers. The following is a summary of the info. в Етployees Full-time Employees: The bank currently has employed 18 Full time tellers/employees. Full-time tellers that work from 9 a.m. to 5 p.m. Each full-timer will be paid $85 per day on average. The 18 employees can't be layoff. However, the manager may use only Part of the 18 Full-Time Employees in this branch and relocate the rest to another branch with a relocation-related cost $10 per-employee per-day. That is, the employees to be relocated to another department will cost this department $10, instead of $85, a…

In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, Ethics, and Physics. Because Polly is registering early, she has 14 choices for her section of Statistics, 14 choices for her section of Composition, 16 choices for her section of Ethics, and 18 choices for her section of Physics. schedules can Polly choose? From how many possible (You may presume that none of these sections interfere with each other) Your Answer: Answer

Amy has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Amy has recorded the travel times for samples of eight trips via the 10 Freeway and eight trips via the 60 Freeway. The following table gives the travel times (in minutes) for the sixteen trips:   Travel times in minutes 10 Freeway 73, 69, 72, 71, 73, 73, 72, 73 60 Freeway 80, 75, 68, 72, 73, 81, 67, 75 Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the  0.1  level of significance, that the mean travel times of the two routes are different? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list…