Question

1. A research group wants to know if the online platform to play Settlers of Catan is being accessed more after the stay at home order than before it. The mean for number of games started per minute before the stay at home order was 1000. The researchers hypothesize that after the stay at home order, the online platform was accessed more so than before the stay at home order. They set alpha = .05

The mean for number of games started per minute after the stay at home order, was 1378 with a standard deviation of 489. The sample size was 108,000.

a. Please find the critical value for this test (.5 point)

b. Given what you know about critical values and sample size, would this critical value be bigger or smaller if the sample size was 50? (.5 point)

c. Please calculate the correct test statistic (show all your work) (2 points)

d. Please compare the test statistic to the correct value (alpha or critical value – mention which one you choose) and either reject or fail to reject the null hypothesis. Write out what this means in English (e.g. The test statistic … the … value, so we …. the null hypothesis. This means that after the stay at home order, the online platform to play Catan…) (2 points)

e. Given this conclusion, what can you say about the p value of this test statistic? (1 point)

f. Please calculate the effect size. Is it small, medium, or large? (1 point)

Answer 1