An ESP experiment is done in which a participant guesses which of 4 cards the researcher has randomly picked, where each card is equally likely. This is repeated for 200 trials. The null hypothesis is that the subject is guessing, while the alternative is that the subject has ESP and can guess at higher than the chance rate. Which of the following would be a Type 1 error in this situation?
a. Declaring somebody has ESP when they actually don't have ESP.
b. Declaring somebody does not have ESP when they actually do.
c. Analyzing the data with a confidence interval rather than a significance test.
d. Making a mistake in the calculations of the significance test.
Question 2
Many adults complain they do not get enough sleep at night. What happens when these adults have children? Independent random samples of 150 adults who do not have children in the house and 130 adults who do have children in the house are selected. The average amount of sleep the adults without children had was 7.1 hours with a standard deviation of 0.7 hours. The average amount of sleep the adults with children had was 6.5 hours with a standard deviation of 0.8 hours. What is the estimate for the standard deviation of the sampling distribution of the difference in sample means?
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