York

2021-10-22

For each of the following scenarios, select the test (from the choices below), that is most appropriate for analyzing the data.
a) Z-test
b) One-sample t-test
c) Independent t-test
d) Dependent t-test
e) 1-Way ANOVA
f) Regression/Correlation
g) Chi-Square
1. Does caffeine help test performance? 90 participants are randomly assigned to one of 4 groups (no caffeine, small dose, medium dose, and large dose) and then asked to complete a GRE math section.
2. Do seniors study for fewer hours per week than freshmen?
3. Is the average SAT math score of Hunter College students higher than the national average $\left(\mu =500,\sigma =100\right)$?

Nola Robson

Step 1
1.
e) 1-Way ANOVA
A 1-way ANOVA is used to compare the means of more than two independents groups in order to find out the means of the groups are significantly different from each other.
A 1-way ANOVA is used for the given scenario because the levels of caffeine are more than two. That is, (no caffeine, small does, medium does and large dose). After the test, the scores will be collected for each group and then a 1-way ANOVA test will be carried out to find whether caffeine really helps in test performance by comparing the means of four groups. A significant P-value results in the rejection of hypothesis and concludes that the caffeine helps in the test performance at a given level of significance.
Thus, 1-way ANOVA suits the given experiment.
Step 2
2.
c) Independent t-test:
This test can be used to determine whether there is a significant difference between the mean of two independent groups or samples.
Independent sample t-test can be used for the given scenario since there are two different groups (seniors and freshmen) and the test aims to compare the mean number of hours of study per week between seniors and freshmen and the test is carried out by comparing the two means. A significant P-value concludes that seniors study for fewer hours per week than freshmen.
Step 3
3.
b) One-sample t-test:
A one sample t test is used to find out whether a sample mean with the hypothesized population mean.
Here, the average SAT math score obtained from the sample will be tested using the population mean SAT math score 500. A significant P-value results in the rejection of hypothesis and concludes that the average SAT math score of Hunter College students is higher than the national average at a given level of significance.

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