Question

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

One-sample hypothesis test for a single proportionOne-sample confidence interval for a single

proportionTwo-sample hypothesis test for the difference in proportionsTwo-sample confidence interval for the difference in proportions

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

1. Students at a certain college want to estimate the average distance students commute to campus each day. They select a random sample of 16 students and record their commuting distance.

2. 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.

  

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. 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.

5. A researcher wants to estimate the average yearly cost of attendance at community colleges in the US. They collect a simple random sample of 50 community colleges and calculate the mean and sd of the yearly cost of attendance at each school.

Answer 1

1)

One-sample confidence interval for a single mean

2)

Chi-square test for multiple categories of a single variable

3)

One-sample hypothesis test for a single mean

4)

Two-sample hypothesis test for the difference in means

5)

One-sample confidence interval for a single mean