In 2018, a consumer goods giant had more than 20 brands with more than $1 billion in annual sales. How does the company create so many successful consumer products? They effectively invests in research and development to understand what consumers want. One method used to determine consumer preferences is called conjoint analysis. Conjoint analysis allows a company to ascertain the utility that a respondent in the conjoint study places on a design of a given product. The higher the utility, the more valuable a respondent finds the design. Suppose we have conducted a conjoint stud and have the following estimated utilities (higher is preferred) for each of three different designs for a new whitening toothpaste. Respondent 1 2 3 4 5 6 7 8 9 10 Design A 24.6 31.4 31.8 15.4 20.7 41.0 27.1 20.2 31.6 24.4 Utilities Design B 34.4 31.4 20.2 26.4 18.3 34.0 22.5 21.8 29.4 29.0 Design C 28.8 33.9 27.8 25.1 18.2 44.8 27.3 27.9 31.3 29.3 At the 0.05 level of significance, test for any significant differences.

A researcher found that counties with a high rate of passport ownership also have low rates of obesity, and counties with low rates of passport ownership have high rates of obesity. This is an example of what kind of relationship? Positive Negative Spurious Intervening

According to a Gallup poll in October 2015, having young children at home greatly influences whether women in the U.S. prefer to stay at home or work outside of it. More than half of women, 56%, who have a child younger than 18 would ideally like to stay home and care for their house and family, while 58% of those without young children would rather work outside the home. Having young children makes little difference in men's preferences, with close to three-quarters preferring to work regardless of their parenting status. Gallup states that their method has a margin of error of 0.031.(a) Give a point estimate for the proportion of all US women with a child under 18 that would like to stay at home.(b) Give an interval estimate for the proportion of all US women with a child under 18 that would like to stay at home. Use three decimal places in your answer.(  ,  )(c) What is the difference between a point estimate and an interval estimate?

In 2018, a consumer goods giant had more than 20 brands with more than $1 billion in annual sales. How does the company create so many successful consumer products? They effectively invests in research and development to understand what consumers want. One method used to determine consumer preferences is called conjoint analysis. Conjoint analysis allows a company to ascertain the utility that a respondent in the conjoint study places on a design of a given product. The higher the utility, the more valuable a respondent finds the design. Suppose we have conducted a conjoint study and have the following estimated utilities (higher is preferred) for each of three different designs for a new whitening toothpaste. Respondent Utilities Design A Design B Design C 1 24.6 34.4 28.8 2 31.4 31.4 33.9 3 31.8 20.2 27.8 4 15.4 26.4 25.1 5 20.7 18.3 18.2 6 41.0 34.0 44.8 7 27.1 22.5 27.3 8 20.2 21.8 27.9 9 31.6 29.4 31.3 10 24.4 29.0 29.3 At the 0.05 level of…