In: Math
1)A realtor has been told that 46 % of homeowners in a city prefer to have a finished basement. She surveys a group of 200 homeowners randomly chosen from her client list. Find the standard deviation of the proportion of homeowners in this sample who prefer a finished basement.
a) 0.46% b) 46% c) 3.5% d)0.5% e)1.8%
2)the number of games won by a minor league baseball team and the average attendance at their home game is analyzed. A regression analysis to predict the average attendance from the number of games won gives the model attendance = -2800 +197 wins. Predict the average attendance of a team with 55 wins.
a) 10,835 b)-2548 c)13,635 d)14 e)8,035
3)In a large class, the professor has each person toss a coin several times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the professor plots a histogram of these several proportions. Use the 68-95-99.7 Rule to provide the appropriate response. If the students toss the coin 80 times each, about 95% should have proportions between what two numbers?
4)The average composite ACT score for Ohio students who took the test in 2003 was 21.4. Assume that the standard deviation is 1.05. In a random sample of 64 students who took the exam in 2003, what is the probability that the average composite ACT score is 22.5 or more? Make sure to identify the sampling distribution you use and check all necessary conditions.