1. For each of the following scenarios, which of the following hypothesis tests
ID: 3149625 • Letter: 1
Question
1. For each of the following scenarios, which of the following hypothesis tests is most appropriate: one sample proportion, one sample mean, two independent proportions, two independent means, or two paired (dependent) means? Explain why.
A. A bakery advertises that their cupcakes weigh 100 grams. A group of customers believe that this is false advertising and that the average weight of this bakery’s cupcakes is really less than 100 grams.
B. The physics department at one college wants to know if physics majors’ SAT-Math scores are higher than their SAT-Verbal scores. They take a simple random sample of 30 physics majors and ask each student for his or her SAT-Math and SAT-Verbal scores.
C. The admissions office at a liberal arts school wants to know if applicants to their music education program have higher SAT-Verbal scores than applicants to their elementary education program.
D. Students at Penn State and Michigan State are arguing over which university’s students have better SAT-Writing essay scores. They take a random sample of 50 students from each university and record their SAT-Writing essay scores.
E. In the population of all Penn State World Campus students, 18.6% have military experience. An instructor at Penn State Harrisburg wants to know if the proportion of students at Penn State Harrisburg is different from 18.6%. She takes a random sample of 100 Penn State Harrisburg students and asks if they’ve had military experience.
F. A group of developmental psychologists are conducting a study on male/female fraternal twins. They want to know if the female twins tend to have higher emotional intelligence scores than their male twin counterparts. They have a sample of 20 male/female fraternal twins and give each an emotional intelligence test.
G. Nursing students want to compare the resting heart rates of college students who exercise regularly and college students who do not exercise regularly. They have a sample of 100 college students: 60 who claim to exercise regularly and 40 do not. They measure each individual’s resting heart rate.
H. The Department of Statistics wants to compare the proportion of men and women who pass STAT200. They take a random sample of 500 students enrolled in STAT200 and at the end of the semester record their gender and whether or not they passed the course.
I. A pharmaceutical company wants to compare the LDL cholesterol levels of patients who have taken two different drugs (Drug A and Drug B). They randomly assign 30 patients to receive Drug A and 30 patients to receive Drug B. After taking 90 days they measure each patient’s LDL cholesterol level.
J. A group of psychology students what to know if wives tend to have higher marital satisfaction levels than their husbands. They have a sample of 30 married heterosexual couples. The husband and wife each complete a test of marital satisfaction.
Explanation / Answer
A. A bakery advertises that their cupcakes weigh 100 grams. A group of customers believe that this is false advertising and that the average weight of this bakery’s cupcakes is really less than 100 grams.
one sample mean, because there is only one sample and we want to compare that sample to population mean.
B. The physics department at one college wants to know if physics majors’ SAT-Math scores are higher than their SAT-Verbal scores. They take a simple random sample of 30 physics majors and ask each student for his or her SAT-Math and SAT-Verbal scores.
two paired (dependent) means because there are two dependent samples.
C. The admissions office at a liberal arts school wants to know if applicants to their music education program have higher SAT-Verbal scores than applicants to their elementary education program.
two independent means because there are two independent samples.
D. Students at Penn State and Michigan State are arguing over which university’s students have better SAT-Writing essay scores. They take a random sample of 50 students from each university and record their SAT-Writing essay scores.
two independent means because there are two independent samples.
E. In the population of all Penn State World Campus students, 18.6% have military experience. An instructor at Penn State Harrisburg wants to know if the proportion of students at Penn State Harrisburg is different from 18.6%. She takes a random sample of 100 Penn State Harrisburg students and asks if they’ve had military experience.
one sample proportion, because variable is categorical and there is only one sample.
F. A group of developmental psychologists are conducting a study on male/female fraternal twins. They want to know if the female twins tend to have higher emotional intelligence scores than their male twin counterparts. They have a sample of 20 male/female fraternal twins and give each an emotional intelligence test.
two paired (dependent) means because there are two dependent samples.
G. Nursing students want to compare the resting heart rates of college students who exercise regularly and college students who do not exercise regularly. They have a sample of 100 college students: 60 who claim to exercise regularly and 40 do not. They measure each individual’s resting heart rate.
two independent means because there are two independent samples.
H. The Department of Statistics wants to compare the proportion of men and women who pass STAT200. They take a random sample of 500 students enrolled in STAT200 and at the end of the semester record their gender and whether or not they passed the course.
two independent proportions, because variable is categorical and there are two samples.
I. A pharmaceutical company wants to compare the LDL cholesterol levels of patients who have taken two different drugs (Drug A and Drug B). They randomly assign 30 patients to receive Drug A and 30 patients to receive Drug B. After taking 90 days they measure each patient’s LDL cholesterol level.
two independent means because there are two independent samples.
J. A group of psychology students what to know if wives tend to have higher marital satisfaction levels than their husbands. They have a sample of 30 married heterosexual couples. The husband and wife each complete a test of marital satisfaction.
two paired (dependent) means because there are two dependent samples.
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