Discussion:
Q1. In a population of typical college students, µ=75 on a statistics final exam (σx=6.4). For 25 students who studied statistics using a new technique, X=72.1. Using two tails of the sampling distribution and the .05 criterion: A.) what is the critical value? B.) Is this sample in the region of rejection? How do you know? C.) Should we conclude that the sample represents the population of typical students? D.) Why?
Q2. On a standard test of motor coordination, a sports psychologist found that the population of average bowlers had a mean score of 24, with a standard deviation of 6. She tested a random sample of 30 bowlers at Fred's Bowling Alley and found a sample mean of 26. A second random sample of 30 bowlers at Ethel's Bowling Alley had a mean of 18. Using the criterion of ρ= .05 and both tails of the sampling distribution, what should she conclude about each sample's representativeness of the population of average bowlers?
Q3.) Foofy computes the X(sample mean of Xs, can't figure out how to make the line above the X) from the data that her professor says is a random sample from population Q. She correctly computes that this mean has a z-score of +41 on the sampling distribution fro population Q. Foofy claims she has proven that this could not be a random sample from population Q. Do you agree of disagree? Why?