Question

Match the following:

A.	Matched-pairs t test
B.	Inference for regression
C.	Two-sample independent t test about means
D.	Two-sample z test about proportions
E.	1 sample Z test about a mean
F.	Chi Square test
G.	ANOVA
H.	1 sample Z test about a proportion
I.	1 sample T test about a mean

We take random samples of Black, White, Asian, and Hispanic workers to determine if mean earnings differ among these groups.
We examine a random sample of Oakland apartments to see if overall there is a relationship between rent charged and size (measured in square feet).
We take a simple random sample of Pittsburgh households to see if single parent households are in the majority.
We want to test if the average study time for freshmen is different than the average study time for seniors.
We test if the average exercise time for a random sample of children from the city is less than the national average amount of 30 minutes per day.  We know the population standard deviation is 11 minutes per day.
We take a random sample of males and a random sample of females and ask each person whether or not they enjoy Pumpkin Spice Lattes. We are interested in testing whether or not the rates of enjoyment are equal.
We take a small random sample of Oakland apartments to determine if the average monthly electric bill is significantly greater than $100.  We use the sample standard deviation since the true population standard deviation of electric bills in Oakland is unknown.
We measure a sample of 30 freshmen’s excitement (0 – 100 scale, higher means more excited) about Pitt as a school.  We measure those same students’ excitement at the conclusion of their first year and are invested in the change in excitement.

Answer 1

We take random samples of Black, White, Asian, and Hispanic workers to determine if mean earnings differ among these groups. :- Here we will use the Anova test.to compare the mean of different groups. Answer:- Anova
We examine a random sample of Oakland apartments to see if overall there is a relationship between the rent charged and size (measured in square feet). it is a regression problem Answer:- inference for regression
We take a simple random sample of Pittsburgh households to see if single-parent households are in the majority. Here we want to find majority means proportion of single-parent households Answer:- One sample Z test about a proportion
We want to test if the average study time for freshmen is different than the average study time for seniors. Here we want to compare two means so we can use the two-sample t-test for the mean. Answer:- Two-sample independent t-test about means
We test if the average exercise time for a random sample of children from the city is less than the national average amount of 30 minutes per day.  We know the population standard deviation is 11 minutes per day. Here population std deviation is known & one sample mean test so it is z test for one sample mean Answer:- One sample Z test about mean.
We take a random sample of males and a random sample of females and ask each person whether or not they enjoy Pumpkin Spice Lattes. We are interested in testing whether or not the rates of enjoyment are equal. Here we want to compare the rates of male & females so it would be two-sample proportion test Answer:- Two samples Z-test about Proportion
We take a small random sample of Oakland apartments to determine if the average monthly electric bill is significantly greater than $100.  We use the sample standard deviation since the true population standard deviation of electric bills in Oakland is unknown. Here we use sample standard deviation since the true population standard deviation of electric bills in Oakland is unknown. So it is one sample t-test for mean. Answer:- 1 sample t-test about the mean.
We measure a sample of 30 freshmen’s excitement (0 – 100 scale, higher means more excited) about Pitt as a school.  We measure those same students’ excitement at the conclusion of their first year and are invested in the change in excitement. Here data is paired because the two types of observation taken on the same students So it is the matched pair t-test Answer:- Mathced Pair t-test