With the pandemic, cleaning and sanitation products have become increasingly more popular. Pfizer is trying to expand their sales and market share among producers of hand sanitizer and would like to purchase advertising space on a major TV network during prime time. CBS and NBC seem to be the most likely options but Pfizer would like to test and see if there is really a difference in the viewership (which would influence their decision). Over the past 20 weeks, CBS has averaged 5.7 million viewers on Monday nights at the 8 PM timeslot with a standard deviation of .65 million viewers. NBC on the other hand has averaged 6.2 million viewers with a standard deviation of 1.3 million viewers. With an alpha of .05, construct a hypothesis test to see if there is a difference in viewership between the two networks. Construct a 95% confidence interval for the difference.

While the mail-order DVD rental market has slowed with the advent of streaming, mail-order is still the only way to find rare movies. Raredvds.biz is considering moving into the rental business after considerable success selling DVDs. To gauge their customer service, they are considering the case of the 1980 film The Monster Club featuring Vincent Price. Raredvds.biz expects to have one copy of the DVD. Based on data collected from customers, Raredvds.biz believes that the average time between orders for the film will be about 10 days with a coefficient of variation of one. Using customer data, the company also believes that including shipping time, both ways, the DVD will on average spend seven days in service, with a coefficient of variation of one. How long does a customer wait on average before being shipped the DVD?

What  are the strengths and the weaknesses of experimental designs?

A serious side effect of allergy medicines is that they cause drowsiness, which can cause many problems for the individuals taking them. In recent years, a new non-drowsy allergy medicine has been developed. The company that created the medicine claims to be the first, once-a-day, non-drowsy allergy medicine (call it Medicine A). An independent research group wanted to check on this claim by comparing Medicine A with another allergy medicine not advertised as non-drowsy (call it Medicine B). A random sample of 3,193 allergy sufferers was selected and each individual was randomly assigned to take either Medicine A or Medicine B. From the Medicine A group, 114 of 1,604 reported drowsiness and from the Medicine B group, 155 of 1,589 reported drowsiness. a) Calculate and label the two sample proportions separately. Next, calculate the difference between these sample proportions by subtracting (Medicine A – Medicine B). Complete these calculations by hand, label each of them, and present…

A serious side effect of allergy medicines is that they cause drowsiness, which can cause many problems for the individuals taking them.  In recent years, a new non-drowsy allergy medicine has been developed.  The company that created the medicine claims to be the first, once-a-day, non-drowsy allergy medicine (call it Medicine A).  An independent research group wanted to check on this claim by comparing medicine A with another allergy medicine not advertised as non-drowsy (call it Medicine B).  A random sample of 3,193 allergy sufferers was selected and each individual was randomly assigned to take either Medicine A or Medicine B.  From the Medicine A group, 114 of 1,604 reported drowsiness and from the Medicine B group, 155 of 1,589 reported drowsiness.     Calculate and label the two sample proportions separately. Next, calculate the difference between these sample proportions by subtracting (Medicine A – Medicine B).  Complete these calculations by hand, label each of them, and…

In addition to therapy, anti-depressant drugs are used in the treatment of depression. The data below are from a study comparing two anti-depressant drugs. A baseline measurement for symptomatic behavior for depression is taken. After treatment with medication, another measurement taken. The data given in the table is for improvement which is for the reduction in symptomatic behavior.

Most supermarkets use scanners at the checkout counters. The data collected this way can be used to evaluate the effect of price and store's promotional activities on the sales of any product. The promotions at a store change weekly, and are mainly of two types: flyers distributed outside the store and through newspapers (which may or may not include that particular product), and in-store displays at the end of an aisle that call the customers' attention to the product. Weekly data was collected on a particular beverage brand, including sales (in number of units), price (in dollars), flyer (1 if product appeared that week, 0 if it didn't) and display (1 if a special display of the product was used that week, 0 if it wasn't).As a preliminary analysis, a simple linear regression model was done. The fitted regression equation was: sales = 2259 - 1418 price. The ANOVA F test p-value was .000, and r squared = 59.7%.According to this model, how many units will be sold, on average, when the…

A major software company is considering a price increase on its most popular product.   They are currently selling below their competitor’s price. Someone from the Brand team suggested they check consumer response before making a price increase. You are called into explain how this marketing research might be carried out.  In terms of qualitative and quantitative options you tell them...

The EPA records data on the fuel economy of many different makes of cars.  They are interested in determining if one could predict the mileage of the car (in miles per gallon) from the weight of the car (in pounds). What is the response variable to this study?

In recent years there has been considerable controversy over the use of standardized testing of high school students. Supporters say that the practice is a good measure of both student progress and teacher performance. Opponents say that too much testing impedes learning and causes unnecessarily large expenses for the school districts. There are even reports that a significant number of high school students opt out of taking some of the standardized tests. In one large city where the school district reported that the average score on a national test taken by students in their junior year was 74, a large group of parents felt that this average was too low. The parents contracted a research company in an attempt to show that the average score was higher than the claimed average of 74. The research company took a random sample of 100 juniors and they collected the corresponding 100 exam scores for those students. - what hypotheses is most appropriate to deal with the problem above. - What…