Inspired by the example about how background music influences choice of entrée at a restaurant, a statistics student decided to investigate other ways to influence a person's behavior. Using 60 volunteers, she randomly assigned 20 volunteers to get a "red" survey, 20 volunteers to get a "blue" survey, and 20 volunteers to get a control survey. The first three questions on each survey were the same, but the fourth and fifth questions were different. For example, the fourth question on the "red" survey was "When you think of the color red, what do you think about?" On the blue survey, the question replaced red with blue. On the control survey, the last two questions were not about color. As a reward, each volunteer was allowed to choose a chocolate candy in a red wrapper or a chocolate candy in a blue wrapper. The table shows the result of the experiment. The statistics student will use a chi-square test for homogeneity to analyze her findings. Survey Type Which of the following are the appropriate degrees of freedom and P-value for this inference procedure? Red Blue Control Total Red 13 26 Color O df = 4, P-value = 0.1555 Blue 15 12 34 of candy O df = 5, P-value = 0.2479 Total 20 20 20 60 O df = 2, P-value = 0.0359 O df = 5, P-value = 0.0225 O df = 4, P-value = 0.0145

A study investigated whether price affects people's judgment. Twenty people each tasted six cabernet sauvignon wines and rated how they liked them on a scale of 1 to 6. Prior to tasting each wine, participants were told the price of the wine. Of the six wines tasted, two were actually the same wine, but for one tasting the participant was told that the wine cost $10 per bottle and for the other tasting the participant was told that the wine cost $90 per bottle. The participants were randomly assigned either to taste the $90 wine first and the $10 wine second, or the $10 wine first and the $90 wine second. Differences were calculated by subtracting the rating for the tasting in which the participant thought the wine cost $10 from the rating for the tasting in which the participant thought the wine cost $90. Difference ($90 3 4 $10) 2 1 USE SALT 0 3 0 2 1 3 3 1 4 1 2 Find the test statistic. (Round your answer to two decimal places.) t = 2 1 -1 Carry out a hypothesis test to determine if…

Use the following for the next two questions: The Hershey Company wants to know if it is doing better in the US than its biggest competitor, Nestle, during their biggest sales month of October. A random sample of 50 US grocery stores are chosen and their October, 2020 sales records are collected. Let ???? and ???? be the true average sales in millions of dollars of Hershey and Nestle products sold in US grocery stores during October, 2020 respectively. The 95% confidence interval for ???? − ???? from our sample data is (54, 346) millions of dollars   What is the difference in the sample means ??̅?? − ??̅??? Round to the nearest whole number. 200

In a study looking at undergraduate students’ perceptions of sense of community at their university, a researcher hypothesizes that the farther away students live from campus (in miles), the less they feel they are part of the university community. The researcher collected data for the following two variables – miles from campus and part of community (rating from 1-10 of how much they felt part of the university community). Proposed analysis (the kind of test) and why you chose the analysis:  Scales of measurement (i.e., nominal, ordinal, interval or ratio) for variable(s) that will be used in the analysis:  Null and alternative hypotheses (based on context of study) in symbols:  Test assumptions and make a decision   Inferential statistic(s) and p-value(s): Decision: conclusion Based on your decision, identify and explain the type of error you could be making with respect to the conclusions of the study