A pharmacist is explaining the over-the-counter (OTC) pain-relief options to a patient and notes that there are 8 different types of tablets, 6 different types of gel-caps, 8 different types of liquid oral suspensions, and 8 different types of chewable tablets. i. Total Outcomes:   ii. Total Events:

A group of 600 patients who suffer from seasonal allergies is asked to participate in a study to determine the effectiveness of a new medication. The patients are divided randomly into two groups, one was given the actual medication and one received a placebo pill. After 2 months of treatment, 64% of the patients who took the medication had fewer allergy symptoms, while only 36% of those who took the placebo had fewer allergy symptoms. a. What is the treatment variable? b. What is the response (or outcome) variable? c. Was this an observational study or a controlled experiment? Explain how you know. d. Assuming the rest of the study was well-designed, use your answers to discuss whether it would be reasonable to conclude that taking the new medication caused fewer allergy symptoms.

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…

AP Statistics - Unit 6: Inference for Categorical Data: Proportions- Assessment 13. Some boxes of a certain brand of breakfast cereal includes voucher for a free video renta inside the box. The company that makes the cereal claims that a voucher can be found in 20 percent of the boxes. However, based on their experiences eating this cereal at home, a group of students believes that the proportion of boxes with vouchers is less than 0.2. This group of students purchased 65 boxes of the cereal to investigate the company's claim. The students found a total of 11 vouchers for free video rentals in the 65 boxes. Suppose it is reasonable to assume that the 65 boxes purchased by the students are a random sample of all boxes of this cereal. Based on this sample, is there support for the students' belief that the proportion of boxes with vouchers is less than 0.2? Provide statistical evidence to support your answer.

A pharmaceutical company is testing the effectiveness of its vaccine across two different age brackets. They take a sample and split the participants up into two separate groups. Group A consists of 44 people who are between ages 13 and 18. Group B consists of 58 people between ages 19 and 26. After being administered the vaccine, it was found that 37 people from group A were immune to the virus and 42 people from group B were immune. What proportion of people from Group A were immune? What proportion of people from Group B were immune? What proportion of people in this study were immune?

At an assembly plant, workers assemble parts for a piece of farm equipment. The supervisor conducted an experiment to compare the effectiveness of three assembly methods, A, B, and C. Eighteen employees were randomly assigned, six employees each, to one of the three methods. After completing their training, each person was asked to assemble five pieces of equipment using his or her training method. The average time to complete the assembly of all five pieces of equipment was recorded. (a) What type of study design is used? O independent groups design O repeated measures design O matched pairs design O randomized block design What are the experimental units in this study? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods O the average time to assemble five pieces of equipment (b) What are the treatments? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods the average time to assemble five pieces of…

A nutrition study investigated knowledge about fruit juices. The study was conducted in a pediatric clinic. Accompanying parents were asked to classify a national brand of “fruit drink”, that contains less than 10% fruit juice, as 100% fruit juice, fruit juice mix, or no fruit juice at all. The investigators asked 150 parents. The table contains the results. Juice Content Gender Female Gender Male Total 100% 15 15 30 1%-99% 55 25 80 0% 30 10 40   100 50 150 What is the value of the chi‑square statistic for the test of independence for this table? - 7.239 -3.84 -5.156 -1.645

The price per share of stock for a sample of 25 companies was recorded at the beginning of the first financial quarter and then again at the end of the first financial quarter. How stocks perform during the first financial quarter is an indicator of what is ahead for the stock market and the economy. Company End of 1st quarter Beginning of 1st quarter Bank of New York Mellon 54.19 53.82 Kraft Foods 55.70 77.02 E.I. du Pont de Nemours and Company 102.57 109.00 Consolidated Edison 79.95 83.58 Johnson & Johnson 126.01 139.23 Union Pacific 132.73 135.78 Comcast 32.06 41.07 Applied Materials 50.91 53.04 Pfizer 35.40 36.44 General Electric 14.05 17.98 AT&T 32.54 38.54 Cisco Systems 44.83 38.86 Home Depot 184.63 188.03 JP Morgan Chase 108.78 107.95 Procter & Gamble 71.96 90.65 Verizon 48.82 53.53 Devon Energy 36.20 42.23 Lilly 79.07 84.68 Microsoft 95.00 85.95 Coca Cola 42.59 45.59 Qualcomm 50.82 65.20 Exxon Mobil Corporation 76.95…

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 Business Humanities. Natural Science Social Science All other subjects USE SALT Percent of Books on Subject in Circulation Library on This Subject 32% 25% 20% 15% 8% 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. Ho: The distributions are different. H₁: The distributions are different. H: The distributions are different. H: The distributions are the same. H₁: The distributions are the same. Ho: The distributions are the same. Ho: The distributions are the same. Ho: The distributions are different.…