Consider the following hypothesis testing methods: . One-sample t-test . Paired

Question

Consider the following hypothesis testing methods: . One-sample t-test . Paired t-test Two-sample t-test ·ANOVA For each of the following problems, state which of the above testing methods, if any, is most appropriate. Give answers only. Assume all variables are normally distributed. 1. A sample UIUC students were asked how much sleep they get per night. We want to test whether the average UIUC student gets 8 hours of sleep 2. Carbon emissions were collected in a random sample of cities in 2014 and then measured again in the same cities in 2015. We want to test whether emissions have gone down in the year 3. We want to know whether the 4 largest majors at UIUC have the same average GPAs or not. We select a random sample of graduates from the last 5 years in each of these majors. Assume the GPAs have different population variances in each major 4. 6 subjects were given a drug (treatment group) and an additional 6 subjects a placebo (control group). Their reaction time to a stimulus was measured (in ms). We want to compare the means of the treatment and control groups. 5. We collect a random sample people in each of 5 regions of the U.S.: Northeast, South- east, Central, West Coast, Alaska/Hawaii. We want to test whether the average height differs across the regions. Assume the heights have the same population variances in each region

Explanation / Answer

(1) One-sample t-test

(2) Paired t-test

(3) ANOVA

(4) Two-sample t-test

(5) ANOVA

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