From the given information in each case below, state what you know about the P-value for a chi-square test and give the conclusion for a significance level of a ! .01. a. X2 ! 7.5, df ! 2 d. X2 ! 21.3, df ! 4 b. X2 ! 13.0, df ! 6 e. X2 ! 5.0, df ! 3 c. X2 ! 18.0, df ! 9

The graph of f(x), shown below, resembles the graph of g(x) = x2, but it has been changed somewhat. which of the following could be the equation of f(x)?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Find two numbers if their sum is 91 and the ratio is 6: 7?