Question

(5 points) Consider each of the scenarios below. For each statement, decide which statistical procedure is most appropriate.

1. Mr. Taylor's 4th grade class uses Skittles to learn about probability. They open several randomly selected bags of Skittles and sort and count the different colors and want to determine if Skittles are evenly distributed by color.

2. An insurance company selected a random sample of 500 clients under 18 years of age and found that 180 of them had had an accident in the previous year. A random sample of 600 clients aged 18 and older was also selected and 150 of them had had an accident in the past year. We want to determine how much the accident proportions differ between the two age groups.

3. The manufacturer of an over-the-counter heartburn relief mediation claims that it product brings relief in less than 3.5 minutes, on average. To be able to make this claim the manufacturer was required by the FDA to present statistical evidence in support of the claim. The manufacturer reported that for a sample of 50 heartburn sufferers, the mean time to relief was 3.3 minutes and the standard deviation was 1.1 minutes.

4. A nutritionist wants to know the proportion of Americans who say they limit their consumption of artificial sweeteners. A poll of 2537 US adults is conducted and the proportion is recorded.

5. The dean of the College of Natural Science want to know if undergraduate students from the statistics department perform better, the same as, or worse than students from the math department on the quantitative portion of the GRE (Graduate Record Examinations). They take a sample of students from each department who have taken the GRE and compare scores.

Options for each answer are:

One-sample hypothesis test for a single proportion One-sample confidence interval for a single proportion Two-sample hypothesis test for the difference in proportions Two-sample confidence interval for the difference in proportion Chi-square test for multiple categories of a single variable Chi-square test of independence of 2 categorical variables One-sample hypothesis test for a single mean One-sample confidence interval for a single mean Two-sample hypothesis test for the difference in means Two-sample confidence interval for the difference in means

Answer 1

The most appropriate statistical procedures for each of the scenarios are:

1. Chi-square for goodness of fit.

2. Two-sample proportion test

3. One-sample hypothesis test for mean

4. One-sample proportion test

5. Two-sample hypothesis test for mean