Male players at the high school, college, and professional r…

Male players at the high school, college, and professional ranks use regulation basketballs that weigh on average 22 ounces with a standard deviation of 1 ounce.  Assume that the weights of the basketballs are Normally distributed.  If a regulation basketball is randomly selected, what is the probability that it will weigh exactly 22.5 ounces?  Choose the best answer.

Use the following to answer the next three questions. A Divi…

Use the following to answer the next three questions. A Division III men’s college basketball team is interested in identifying factors that impact the outcomes of their games.  They plan to use “point spread” (their score minus their opponent’s score) to quantify the outcome of each game this season; positive values indicate games that they won while negative values indicate games they lost.  They want to determine if “steal differential” (the number of steals they have in the game minus the number of steals their opponent had) is related to point spread.  The correlation between point spread and steal differential for the n = 25 games they played this season is r = 0.35.  Assuming that this season was a typical season for the team, they want to know if steal differential is positively correlated with point spread. State the hypotheses for testhing if this sample provides evidence that steal differential is positively correlated with point spread.

A researcher is wondering whether the drinking habits of adu…

A researcher is wondering whether the drinking habits of adults in a certain region of a country are different than those in the general adult population.  Suppose a recent study states that the proportion of adults in the general population who reported drinking more than once a week in the last month is 0.86.  The null hypothesis for this test is p = 0.86 and the alternative hypothesis is p ≠ 0.86.  The researcher collected data from a random sample of 65 individuals.  Are the conditions for proceeding with a one-proportion z-test satisfied?  If not, which condition is not satisfied?