1. A random sample of 106 body temperatures was taken to test the claim that the healthy mean body temperature of the general population is 98.6 F with a standard deviation of 0.42 F. If the sample mean was 98.200 F, test this claim using a 0.1 significance level. State the hypotheses State the critical value(s) Calculate the test statistic Draw the critical region showing the critical value(s) and the location of the test statistic State the decision based on the results of your analysis If your conclusion was incorrect, which type of error would you be making? (Circle the correct response) Type I Type II3. Listed below are amounts of court fine revenue and salaries paid to town justices. (a) Calculate the linear correlation coefficient. Court income $000s Justice salary $000s (x) (y) 42 28 75 40 121 35 164 36 262 71 282 56 414 54 1141 66 1577 102 E=4157300 54- 30758 E - 307225 (b) Determine the equation of the regression line of the form 1 = a + bx (c) Use your equation to determine the predicted Justice salary for a court income of $300000.4. For the following table of data values: X Y X2 y2 0.4 XY 520 0.5 1161 0.6 1758 0.8 338 1.1 5679 a) Calculate the value of the linear correlation coefficient, r. b) At the 0.01 level of significance, does correlation exist? (Justify your answer by conducting a formal hypothesis test for correlation)Q.5: If the correlation coefficient is 0.840, what is the unexplained variation? C A) 36.0% C B) 16% C) 84% D) 72.5% Q.6: A grocery store owner claims that the mean amount spent per checkout is less than $47. A test is made of Ho: u = 47 versus Hi: M