Question: We investigate if a period of time feels longer or shorter when people are bored compared to when they are not bored. Using independent samples, we obtain these estimates of the time period (in minutes):
Sample 1 (bored): mean of x=14.5, estimated population variance=10.22, number of scores in each sample= 28
Sample 2 (not bored): mean of x= 9.0, estimated population variance= 14.6, number of scores in each sample= 34
a) What is the null hypothesis and alternative hypothesis?
b) Compute obtained value in t-test
c) With the theoretical probability of a type 1 error= .05, what is critical value of t-test?
d) What should the researcher conclude about this relationship?
e) Compute the confidence interval for the difference between the population means
f) Using our two approaches, how important is boredom in determining how quickly time seems to pass?