Question

Friends.. I need help figuring it out this exercise. I am

not sure if my answer is right. Thank you all for helping!!

19) The U.S. Department of Health has suggested that a healthy total cholesterol measurement should be 200 mg/dl. She conducts a study from a sample of random, independent people and the results are shown. Hypothesis test results: : Mean of population HO: 200 HAN > 200 Mean Sample Mean Std. Err. DF T-Stat P-value 208.26 5.7516066 49 1.4361205 0.0787 a) Which claim by the researcher would match the output shown above? (Circle one) i) A researcher believes that people in the U.S. have cholesterol levels different than 200 mg/dL. II) A researcher believes that people in the U.S. are healthy and have cholesterol levels lower than 200 mg/dL. iii) A researcher believes that people in the U.S. are not healthy and have cholesterol levels e voe here to search e $ 4 7 % 5 C 9 O- 1 2 3 6 7 8 Q W E R T Y U 1 1 O Р 7 8 9 t A S D F 4 H G J к 6 L Enter 5 Lk Em . > ? х C Z V N M B 1 2 3 V - SM . + 0 Fn AR Carl AIR ide

Answer 1

Solution; Hypothesis test results: M: Mean of population Ho: M=200 HA: u>200 (claim) Mean Sample mean std. Error df 208.26 5.7516066 49 T-stat 1.4361205 P-value 0.0787 M Ans (9) claim by the Researcher : (l') A Researcher believes that people in the Vis are not healthy and have cholesterol levels higher than 200 mg/dL. Ans(b) Sample size is given by n. In output, degree of freedom n-1 49 = 49 n = 1+49 = 50 Sample size= n = 50 Ans() Approximate Value of Standard deviation (5) In output, SE = 5. 7516066 S = 5.7516066 - un s = √n x 5.7516066 S = 150 x 5.7516066 = 40.67

Approximate value of Standard deviation is S = 40.67 (d) Do the researchers findings appear to be significant at 0.10 level of significance? Ansi from the output, t-stat = 1.4361205 þ-value= 0.0787 we have significance level = 0.10 Since , p-value is less that the significance level 0.0787 <0.10 This is regarded as Significant at 0.10 level of Significance. So, Researcher should reject the Ho (null hypothesis) and conclude that people in the US ase not healthy and have cholesterol levels higher than 200mg/dL (M> 200). (e) Suppose the average total cholesterd is actually 210. which dy be of error is the decision in pard d) if any? Ansi In Part (d), we conclude that (M > 200) and our actual average to tol cholesterol value is 210 so, Decision in Part (d) is correct Décision