Question

In each scenario, choose the appropriate direction for the Alternative Hypothesis.

Right-sided

Left-sided

Two-sided

1. The five-year graduation rate (what percent of students graduate in five years or less) for majors in the College of Business is different than the five-year graduation rate for majors in the College of Health.

2. The amount of time you spend eating breakfast each day is less than the amount of time you spend eating lunch on the same day.

3. The average price per gallon of gasoline is lower in Texas than in Illinois.

4. The average GPA in the College of Health is more than 2.7. You do not know the standard deivation for the population.

5. The average GPA in the College of Health is less than 2.9. You know the standard deivation for the population.

In each scenario, choose the appropriate kind of Hypothesis Test.

z test for single mean

t test for single mean

z test of single proportion

t test of single proportion

z test for comparing means

t test for comparing means

z test for comparing proportion

t test for matched pairs

z test for independent factors

chi-squared test for goodness-of-fit

chi-squared test for independence

1. The five-year graduation rate (what percent of students graduate in five years or less) for majors in the College of Information and Mathematical Sciences is different than the five-year graduation rate for majors in the College of Business.

2. The average GPA in the College of Business is less than 2.7. You do not know the standard deivation for the population.

3. The average GPA in the College of Business is more than 3.4. You know the standard deivation for the population.

4. The amount of time you spend eating lunch each day is less than the amount of time you spend eating dinner on the same day.

5. The average price per gallon of gasoline is higher in New York than in Texas.

Answer 1

A. In each scenario, choose the appropriate direction for the Alternative Hypothesis.

So keyword related to testing type is :

Right-sided : greater, more, bigger

Left-sided: small, less, lower

Two-sided: not, not equal, different

1. The five-year graduation rate (what percent of students graduate in five years or less) for majors in the College of Business is different than the five-year graduation rate for majors in the College of Health.

Here we want to test that there is a difference in the five-year graduation rate for majors in the College of Health & college of business.

So Hypothesis will be two-sided.

Ho:- there is no difference in the five-year graduation rate for majors in the College of Business & College of Health.

vs

Ha:- there is a difference in the five-year graduation rate for majors in the College of Business & College of Health.

Answer:- Two-sided

2. The amount of time you spend eating breakfast each day is less than the amount of time you spend eating lunch on the same day.

We want to test that the mean amount of time you spend eating breakfast each day is less than the amount of time you spend eating lunch on the same day.

So here we have to test less than type alternative.

So it is left tailed.

Answer:- Left tailed.

3. The average price per gallon of gasoline is lower in Texas than in Illinois.

We want to test that The average price per gallon of gasoline is lower in Texas than in Illinois.

it is also a left tailed test.

Answer:- Left tailed test

4. The average GPA in the College of Health is more than 2.7. You do not know the standard deviation for the population.

We want to test that u > 2.7

Answer:- Right tailed test

5. The average GPA in the College of Health is less than 2.9. You know the standard deviation for the population.

We want to test that u < 2.7

It is Left tailed test

Answer:- Left tailed test

B)

In each scenario, choose the appropriate kind of Hypothesis Test.

1. The five-year graduation rate (what percent of students graduate in five years or less) for majors in the College of Information and Mathematical Sciences is different than the five-year graduation rate for majors in the College of Business.

Here we want to test the rate. so proportion test will be useful

Answer:- z test for comparing the proportion

2. The average GPA in the College of Business is less than 2.7. You do not know the standard deviation for the population.

Here we have to test mean but the standard deviation for the population is unknown

So we will use the t-test

Answer:- t-test for a single mean

3. The average GPA in the College of Business is more than 3.4. You know the standard deviation for the population.

Here we have to test mean &  the standard deviation for the population is known

So we will use the Z-test

Answer:- Z-test for a single mean

4. The amount of time you spend eating lunch each day is less than the amount of time you spend eating dinner on the same day.

We want to compare the score of same person in two different situation.so it is paired data/ matched data.

So we will use t-test for matched pairs

Answer:- t-test for matched pairs

5. The average price per gallon of gasoline is higher in New York than in Texas.

Here we want to compare the two means.

So will use the Z-test for two sample

Answer:-

z test for comparing means

Note ( t test for comparing means also can be used as info about sample size & std deviation for the population is not provided)