In one year, three awards (research, teaching, and service) will be given to a class of 25 graduate students in a statistics department. If each student can receive at most one award, how many possible selections are there?

You want to determine how many loaves of Bread are sold per day at Schat’s Bakery. You stand outside for ten different randomly selected days, count the number of loaves, and then average them. You come up with 421 loaves per day. In reality, Schat’s keeps records of how many loaves they sell per day, and in they averaged 395 loaves per day. Describe what the population is in the above example?

A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons. From previous studies performed around the same time of the year, she expects 50% of the birds to be ducks, 23% to be geese, 12% to be cranes, 10% to be swans, and 5% to be herons. What are the expected and observed counts? Select one. Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D %3D Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons

The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 284 Humanities 25% 218 Natural Science 20% 207 Social Science 15% 102 All other subjects 8% 77   (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to three decimal places. Round the test statistic to three decimal places.)

People often match their behavior to their social environment. One study of this idea first established that the type of music most preferred by black college students is R&B and that white college students' most preferred music is rock. Will students hosting a small group of other students choose music that matches the makeup of the people attending? Assign 9090 black business students at random to three equal‑sized groups. Do the same for 9696 white students. Each student sees a picture of the people he or she will host. Group 1 sees six blacks, Group 2 sees three whites and three blacks, and Group 3 sees six whites. Ask how likely the host is to play the type of music preferred by the other race. Use ANOVA to compare the three groups to see whether the racial mix of the gathering affects the choice of music.

A statistics teacher asked two different students, Lexie and Jennifer, to go to Wegmans and sample 30 shoppers each.  The population of interest for both people can be defined as, “People who shop at the Johnson City, NY Wegmans store”.  Here is what each person did to collect their sample:                    Lexie: She stood outside at the entrance to the store on 3 different days and times and surveyed every 15th person to walk by her.  She surveyed 10 people each time to get her 30.   Jennifer:  She went to Wegmans after her nursing shift first thing Wednesday morning to buy deodorant since she ran out.  When she was in the pharmacy area she surveyed all the people around her and then, to get up to 30 surveys, she went to the health food section and surveyed everyone she was there.     Identify at least 2 specific reasons why Lexie’s approach is more likely to give a representative sample.  Consider sources of bias, or types of shoppers who might be excluded by Jennifer’s approach.…

The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 237 Humanities 25% 220 Natural Science 20% 223 Social Science 15% 128 All other subjects 8% 80 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are different.H0: The distributions are the same.H1: The distributions are the same.    H0: The distributions are different.H1: The distributions are different.H0: The…

An interdepartmental task force is being formed to investigate an increase in violent crimes. 1/5 of the task force will be police officers from the local precinct. 1/4 will be ATF agents, and the remaining 22 will be from the FBI. How many people are participating in the task force?

A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.

The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 267 Humanities 25% 217 Natural Science 20% 222 Social Science 15% 109 All other subjects 8% 73 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?State the null and alternate hypotheses. H0: The distributions are different.H1: The distributions are the same.H0: The distributions are the same.H1: The distributions are different.    H0: The distributions are the same.H1: The distributions are the same.H0: The…