Question

1. You decide to test different samples for musical preferences: Baby Boomers, generation X and generation Z. Which type of inferential method, or case, is most appropriate for this scenario?

A. ANOVA

B. Independent samples

C. Matched pairs

2.You have been asked to study the driving habits of marital couples; those living in the same household as a married couple. You want to measure the speed of spouse 1 and the speed of spouse 2 with the same vehicle. You do this in the Spring and again in the Fall, with the same couples. Your sample sizes will be equal. Which type of inferential method, or case, is most appropriate for this scenario?

A. Independent samples

B. Matched pairs

C. ANOVA

3.You have been asked to study the mean comparison between the preferred music of people. You use random samples from generation X and generation Z. Which type of inferential method, or case, is most appropriate for this scenario?

A. Matched pairs

B. Independent samples

C. ANOVA

4. You begin a research study to test the music preferences of generation X (µ1µ1) and generation Z (µ2µ2). Your hypothesis is Ha:µ1>µ2Ha:µ1>µ2. Which type of hypothesis is this and what does it mean?

A. Alternative hypothesis; there is a difference between the means of generation X and generation Z; generation X has a higher mean than generation Z.

B. Null hypothesis; no difference between the means of generation X and generation Z.

C. Alternative hypothesis; there is not a difference between the means of generation X and generation Z; generation X has a higher mean than generation Z.

D. Null hypothesis; there is a difference between the means of generation X and generation Z.

5.Now that you’ve completed your study to test the mean music preferences of generation X (µ1µ1) and generation Z (µ2µ2), you need to evaluate the results. Your hypothesis was H0:µ1=µ2H0:µ1=µ2. Let’s assume µ1=4.5,µ2=3.5µ1=4.5,µ2=3.5, your p-value was 0.03 and your 95% CI was (1.446, 2.367). What is your overall conclusion?

A.) The p-value is low, which means there is not a statistically significant difference between the means of generation X and generation Z, and so I reject the null. Since I reject the null, the CI interval should not contain zero.

B.) The p-value is higher than we would like, which means there is a statistically significant difference between the means of generation X and generation Z, and so I do not reject the null. Since I did not reject the null, the CI interval should contain zero.

C.) The p-value is low, which means there is a statistical difference between the means of generation X and generation Z, and so I reject the null. Since I reject the null, the CI interval should not contain zero.

D.) The p-value is higher than we would like, which means there is not a statistically significant difference between the means of generation X and generation Z, and so I reject the null. Since I reject the null, the CI interval should not contain zero.

Answer 1

(1) ANOVA, since we are testing more than 2 groups here.

(2) Matched pairs, since we are comparing the speeds of a couple with the same vehicle.

(3) Independent samples, since we are comparing 2 separate samples of data.

(4) Alternative hypothesis; there is a difference between the means of generation X and generation Z; generation X has a higher mean than generation Z.

(5) The p-value is low, which means there is a statistical difference between the means of generation X and generation Z, and so I reject the null. Since I reject the null, the CI interval should not contain zero.