5. (3 points, no partial credit). Read the following statements in reference to the sketches below: The only reason that the two sampling distributions are bell-shaped is that the population from which they were drawn is roughly bell-shaped. Also, the size of the samples used to build the two sampling distributions are 169 and 36. Comment as to what is incorrect in the statements. That is, use the graphs and/or your knowledge to evaluate the statements. Population Distribution Sampling Distributions6. (4 points) A recent article in the Ma ke-Believe Journal of Social Science states that "A large scale study concluded that Junior-high students who played dodge-ball had a lower weight compared to those who did not play dodge-ball\". The specifics of the test were: n=30,000 Junior-high students in each group (those who played dodge-ball vs. those who did not). P-value= 0.1900 Average difference in weight: 20.0 pounds. Indicate if the results are practically vs. statistically significant below and explain why. Circle one: Statistically significa nt Not statistically significant Why? Circle one: Practically significant Not practically significant Why? 7. (2 points) We expect that as the number of whisky drinks consumed increases the amount of time to tie your shoelaces increases. If we execute a regression to predict the average number of seconds to tie the shoelaces (the dependent variable, or Y) using the number of whiskey drinks consumed (the independent variable, or X) then what would be the appropriate Ho and Ha regarding Bl. [I recommend that you make a sketch of the relationship to help your thinking.] (2 points) The standard deviation of Y is 20 The square root of the sum of the squared residuals divided by n-2 equals 3. Does this suggest that the regression fits the data well or that it does not fit the data well? Circle one. No explanation required. Fits the data well. Does not fit the data well. 8. [4 points total, no partial credit] A hypothesis test is executed with an alpha = 10% and H0 is rejected. Using the probability model (or frequentist) view of probability discussed in class, what is the probability that the statistical conclusion is wrong? If we executed the same hypothesis test (with an alpha of 10%) on different random samples of data 10,000 times, approximately how many times would it make the mistake of rejecting Ho when H0 is actually true in the population? Your answer should be an integer