1. The interpretation of a 95% confidence interval for the population mean is (choose one)
a) Although the confidence interval will vary from sample to sample, in repeated sampling 95% of the intervals will include the population mean.
b) A 95% confidence interval is an interval that includes 95% of the population.
c) The confidence interval contains the sample mean 95% of the time.
d) Although the population mean will vary from one sample to another, in repeated sampling it will fall in the confidence interval 95% of the time.
2. If we conduct a test of the hypotheses Ho: μ = 120 vs Ha: μ > 120 and observe a sample mean of 130 and a p-value of 0.04, then we can conclude (choose one)
a) The probability that the true population mean is exactly 120 is only 4%.
b) There is a 96% probability that the true population mean is greater than 120 and only a 4% probability it is less than 120.
c) If μ = 120 and I repeat the experiment many times, 96% of the sample means will be less than 120 and 4% will be greater than 120.
d) If μ = 120 and I repeat the experiment many times, 96% of the sample means will be less than 130 and 4% will be greater than 130.
3.) An astrologer reports that people born under the astrological sign of Aquarius are significantly more likely to be swimmers (p = 0.03)! Since this association is unlikely to happen by chance, the astrologer claims that this validates the predictive power of astrology. What additional information would you want to know to determine if this result is a false positive (Type I error)? [Hint: there are 12 astrological signs]
