Code 1671 Consumer Reports rated 77 cereals on a scale of 0 to 100 The number

# Code 1671 consumer reports rated 77 cereals on a

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Problem Code: 1671Consumer Reports rated 77 cereals on a scale of 0 to 100. The number of grams of sugar contained in each serving of the corresponding cereals was also recorded. Using sugar as the explanatory variable and the Consumer Reports rating as the dependent variable, computer output of the data is as follows (the p-values are intentionally left blank): Predictor Coef StDev T Constant 59.28 1.948 30.43 Sugars − 2.41 0.24 − 10.12 --- S = 9.146 R-Sq = 57.7% R-Sq(adj) = 57.1%Part a:What is the regression equation?Part b:Calculate the 95% confidence interval of the slope of the regression line for all cereals. Part c:Use the information provided to test whether there is a significant relationship between the sugar content and the Consumer Report rating at the 5% level. P --- a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 17 Your answer is CORRECT. This is a written question, worth 10 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 1771Suppose the random variable Xhas CDF given by the function F(x)=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪0116x41x<00≤x≤2x>2Part a:Find P(X≤1)Part b:Find P(0.5≤X≤1)Part c:Find the desity function f(x) . . . a) I have placed my work and my answer on my answer sheet.b) I want to have points deducted from my test for not working this problem. Question 18Your answer is CORRECT.This is a written question, worth 10 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit.Problem Code: 1881Suppose you wish to test if a number cube (die) is loaded or not. If the die is not loaded, the theoretical probabilities for each roll should be:1 2 3 4 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % You roll the die 84 times and come up with the following distribution:1 2 3 4 12 11 20 13 15 13 Part a:What type of test should be used in this situation?Part b:State the hypothesis. Part c:What is the test statistic? Part d:Find the p-value and state your conclusion. 5 6 5 6 a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 19 Your answer is CORRECT. This is a written question, worth 10 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit.  • • • 