One of the more famous anecdotes in the field of statistics is known as the "Lady Tasting Tea" and involves the renowned statistician Sir Ronald Aylmer Fisher. A woman claimed to be able to tell the difference in a cup of tea depending on whether or not the milk or tea was poured first. This seemed to be an incredible boast to those in earshot, so Sir Fisher proposed a test. He poured a number of cups of tea, some with tea first and some with milk first, then randomized the order in which she tasted the cups. (We omit the details here, but it is said that she correctly identified every one!)

1- You have chosen to experience with a classmate and have fixed 40 cups of tea, of which your classmate correctly identifies 12. What technique should we use to determine if your classmate meets the Lady's standard?

options:

1-sample z test for proportions

1-sample t test

2-sample z test for proportions

2-sample t test

2- Hypotheses tests you have learned in STAT 239 (or equivalent) are applicable to all scientific data we could collect.

options:

True

False

3- Researchers are interested in whether the effects of DDT poisoning in rats are less extreme in males. An SRS of 100 male rats and an independent SRS of 100 female rats are obtained. The male rats had a sample mean of 39 and a sample standard deviation of 8. The female rats had a sample mean and standard deviation of 40 and 10 respectively. What technique do we use to answer this question?

options:

2-sample z test for proportions

2-sample t test

2-variable chi-square test

correlation analysis

4- Data on the water quality in the Eastern United States was obtained by a researcher who wanted to ascertain whether or not the amount of particulates in water (ppm) could be accurately used to predict water quality score (scale of 0 through 10). If we collect data on this question, what statistical technique do we use to answer it formally?

options:

2-variable chi-square test

analysis of variance

correlation analysis

linear regression