In an interesting series of tests by Wilson et. al. in Science 2014, participants were asked to sit alone with their thoughts for 15 mins. Participants were able to have either no stimulation during this period or negative stimulation in the form of a self-administered electric shock. The 18 men in the sample elected to shock themselves an average of 1.47 times with standard deviation 1.46 (not including one outlier who shocked himself 190 times). The 24 women in the study shocked themselves an average of 1 time with a standard deviation of 2.32 times. It is interesting to note that these participants all said they would pay not to receive the shock in an earlier portion of the study! Is there significant evidence that men have a harder time sitting alone with their thoughts (i.e administered more shocks) than women? a. State the hypotheses for the test b. Calculate the test statistic c. Find and interpret the p-value d. State the conclusion of test e. Based on the conclusion, do you expect a confidence interval to contain zero? Explain without constructing the interval.
In an interesting series of tests by Wilson et. al. in Science 2014, participants were asked to sit alone with their thoughts for 15 mins. Participants were able to have either no stimulation during this period or negative stimulation in the form of a self-administered electric shock. The 18 men in the sample elected to shock themselves an average of 1.47 times with standard deviation 1.46 (not including one outlier who shocked himself 190 times). The 24 women in the study shocked themselves an average of 1 time with a standard deviation of 2.32 times. It is interesting to note that these participants all said they would pay not to receive the shock in an earlier portion of the study! Is there significant evidence that men have a harder time sitting alone with their thoughts (i.e administered more shocks) than women?
a. State the hypotheses for the test
b. Calculate the test statistic
c. Find and interpret the p-value
d. State the conclusion of test
e. Based on the conclusion, do you expect a confidence interval to contain zero? Explain without constructing the interval.
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