Question
A researcher wants to determine whether young adults spend more time in a day on Twitter than older adults do.He gathers a sample of n
A researcher wants to determine whether young adults spendmoretime in a day on Twitter than older adults do.He gathers a sample ofn= 10 young adults (aged 18-25) and a sample ofn= 6 older adults (aged 25-34).The researcher finds that the average time spent on Twitter for young adults isM1= 3 hours with aSS1of 44.He also finds that the average time spent on Twitter for older adults isM2= 2 hours with aSS2of 40.
Perform an independent-samples test to determine whether young adults spend significantlymoretime in a day on Twitter than older adults do by stating or calculating each of the following: (Show your work or explain your answers for each):
a. The null (H0) and alternative (HA) hypotheses. (4 points)
b. Whether we are using a one- or two-tailed test and why. (4 points)
c. Degrees of freedom (df) (3 points)
d. The critical/cut-offtstatistic using your degrees of freedom from the last step witha= .05. (4 points)
e. Pooled variance (s2p) (4 points)
f. Estimated standard error (s(M1-M2)) (4 points)
g.t-statistic (4 points)
h. Based on our t-statistic and our critical t, are we rejecting or failing to reject the null hypothesis? What does that mean for our research question? (4 points)
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