Choose the most appropriate hypothesis test for each of the following situations
ID: 3230886 • Letter: C
Question
Choose the most appropriate hypothesis test for each of the following situations.
(a) Suppose that you want to show that there is a difference in the typical bill length of two varieties of pigeon, American Giant Homer pigeons and Tumbler pigeons, so you collect a SRS of pigeons from each population and measure the bill length for each.
Independent Samples T TestPaired T Test Chi-Square TestANOVA F TestSimple Linear Regression
(b) In the fall semester of 2002, a group of students was interested in the amount of sexual content of advertisements. Specifically, they were curious if there was a difference in the amount of sexually implicit commercials per half hour between the "Big Three" networks (NBC, CBS, and NBC) during prime time. To research their question, they made a list of all half hour segments during prime time from Oct. 30 to Nov. 18, 2002 for each of the three networks. Then, they took an SRS of 30 half hour segments from each network's list. For each half hour segment, they watched TV and recorded the percent of the commercials that had sexual content.
Independent Samples T TestPaired T Test Chi-Square TestANOVA F TestSimple Linear Regression
(c) In the fall of 2002, a group of students was interested in whether songs in the 80s used more of what the researchers considered to be cheesy words than songs released in the 90s. To study their question, they compiled a list of the top 100 songs from each year for all years in the 80s and all years in the 90s (a total of 2000 songs). They then took a SRS of 50 songs from each decade. For each song, they counted the number of times that each of the following "cheesy" words was used: love, heart, sweet, kiss, cry, tears, honey and baby. Next, they calculated the total number of cheesy words per song.
Independent Samples T TestPaired T Test Chi-Square TestANOVA F TestSimple Linear Regression
(d) Researchers claim that people with coronary heart disease who breath in air which is 4% carbon monoxide (smokers for example) will experience angina pain upon exercise quicker than people who do not breath carbon monoxide. To test this study they took 50 men with coronary heart disease and randomly assigned them to one of two rooms. One room was filled with air without carbon monoxide and the other room had 4% carbon monoxide in the air. The men in each room exercised until they experienced angina pain. This measurement was recorded by the researchers. The next day the 50 men went into the room they didnt visit the day before and again exercised until they experienced angina pain. The length of time until they experienced angina pain was again recorded.
Independent Samples T TestPaired T Test Chi-Square TestANOVA F TestSimple Linear Regression
(e) It is useful to be able to predict the volume of lumber from a tree. In a SRS of 30 trees, the circumference of the tree 4 feet above the ground was measured. Then each tree was cut down and the volume of lumber from the tree was recorded.
Independent Samples T TestPaired T Test Chi-Square TestANOVA F TestSimple Linear Regression
(f) A researcher of preschool age children claims there is an association between gender and the type of toy (doll, truck, or puzzle) preferred by 4 year olds. She takes a SRS of 100 four year olds and determines the gender and toy preference for each.
Independent Samples T TestPaired T Test Chi-Square TestANOVA F TestSimple Linear Regression
(g) A researcher claims that there is an association between gender and whether a person drives a car, truck or SUV.
Independent Samples T TestPaired T Test Chi-Square TestANOVA F TestSimple Linear Regression
(h) You claim that the number of hours a student spends each week in aerobic exercise is negatively linearly related to his or her BMI. To test your claim, you take a SRS of 100 students and ask each the number of hours spent each week in aerobic exercise and determine his/her BMI.
Independent Samples T TestPaired T Test Chi-Square TestANOVA F TestSimple Linear Regression
(i) You claim that there is an association between the type of food an anemic eats and the amount of iron that is absorbed into their system. You get a random sample of 400 independent anemic patients, and randomly assign 100 people to each of four food treatments (wheat, chickpea, broad bean, okra with tomato juice). After each person eats the food assigned to them, the percent of iron that they absorb into their system is measured.
Independent Samples T TestPaired T Test Chi-Square TestANOVA F TestSimple Linear Regression
Explanation / Answer
a) To show that there is a difference in the typical bill length of two varieties of pigeon, American Giant Homer pigeons and Tumbler pigeons, one must use Independent samples T-test.
b) To test whether there was a difference in the amount of sexually implicit commercials per half hour between the "Big Three" networks (NBC, CBS, and NBC) during prime time one must use the test for Analysis of Variance(ANOVA)
c) to test whether songs in the 80s used more of what the researchers considered to be cheesy words than songs released in the 90s one must use Independent sample T-test
d) To test the claim that people with coronary heart disease who breath in air which is 4% carbon monoxide (smokers for example) will experience angina pain upon exercise quicker than people who do not breath carbon monoxide one must use Paired T-test
e) To predict the volume of lumber from a tree one must use Linear Regression
f) To test the claim that there is an association between gender and the type of toy (doll, truck, or puzzle) preferred by 4 year olds one must use Chi-Square Test
g) To test the claim that there is an association between gender and whether a person drives a car, truck or SUV one must use Chi-Square Test
h) To test the claim that the number of hours a student spends each week in aerobic exercise is negatively linearly related to his or her BMI one must use one must use Linera Regression
i) To test the claim that there is an association between the type of food an anemic eats and the amount of iron that is absorbed into their system one must use ANOVA