Question

9. I claim that the mean average score on this final exam will be an 80. A student disagrees with me and decides to test my claim. The standard error is 10 and a = 1% Use this information to determine the following: (only need one diagram) a. State the null and alternative hypothesis b. Determine and draw the hypothesis testing model (label everything) c. Determine the critical value(s) d. Determine the conclusion for each of the following if the test statistic is: i)Test stat = 2.5 ii) Test stat = -2.6 iii) Test stat = 3.25 10. In Mrs. Smith's English class eighteen students received the following grades on an exam. They were: 92, 29, 67, 77, 97, 82, 76, 65, 80, 99, 95, 79, 68, 88, 89, 25, 82, 91. Use this data to a. Find the mean, median, mode, sample standard deviation, and population standard deviation to the nearest tenth. b. Make a box and whisker plot c. Find the IQR and determine if there are any potential outliers. If there are state their values.

Answer 1

y solution: a) Test Hypothesis: Hol H= 80 Null Hypothesis) Hai M#80 Alternate Hypothesis) 2011-0.01 o Z test 0.005: <h12 = 20.01/2= Into) -2.576 2-576 c) 2212= + 9.576. d) :-)2.5 = Zo =2.5, 2.5<2.576, fail to reject Ho. claini meal ang Have sufficient evidence to suppost tha score is ;;) Zo =-26. -2.64 2.576 Ho fail to reject We have scefficient evidence to support the claim aug is Steppet the claim the mean score 113) 20-2025 Ho 3.257 2576, Project The is sufficient evidence no to support the Claim that The mean aug score is 80

107 a) Mean a=EX - 76.722 X= 76.722 Median - 81 Mode a = 82 n standard deviation sa & Cai-2² Sample nal 10 s= JE (25-76-177**---- (99-76-72) S=20.7075 N21 os 8 (ai-le) 2 poplelation standard deviation i=1 a = Hoc25-46.13917--099-267) N 20 = 20.1240 b ) max 199) &z=91.25 92-81 Qi= 67.75 min (25 c) I QR- 83-Q, = 91.25 -67.75 = 23.5 Ocelliers? 25 129