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For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x = 6.3, y = 6.0, r= - 0.253, P-value =0 076, and y -7:81 -0.287x Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x =5. Use a 0.01 significance level. The best predicted value of y when x = 5 is (Round to one decimal place as needed.)Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion A person purchased a slot machine and tested it by playing it 1.250 times. There are 10 different categories of outcomes, including no win win jackpot, win with three bells, and so on. When testing the claim that the observed outcomes agree with the expected frequencies, the author obtained a test statistic of y = 1 cof y2 - 11 757 Use a 0.025 significance level to test the claim that the actual outcomes agree with the expected frequencies. Does the slot machine appear to be functioning as expected? Click here to view the chi square distribution table. The test statistic is (Type an integer or a decimal. Do not round ) The critical value is (Round to three decimal places as needed ) State the conclusion sufficient evidence to warrant rejection of the claim that the observed outcomes agree with the expected frequencies. The slot machine to be functioning as Ho There expected