Question

7. A statistics instructor wants to figure out how long it will take her students, on average, to complete an exam She believes that completion time should follow an exponential distribution with mean λ. She collects data from 10 randomly selected students, and the class meets for 50 minutes. (a) What are the appropriate hypotheses in this case? Explain your reasoning. (b) The instructor opts to use a signficance level of 0.10. In the context of the scenario, what does this mean? (c) The test the instructor uses has the form 0 elsewhere The completion times from the 10 randomly selected students are: 19,29, 30, 35, 42, 44, 49,58, 61, 186 What should the instructor conclude? (d) Another instructor thinks that a significance level of 0.01 would be a better choice. Which significance value would you recommend to the instructor? Explain your reasoning. (e) If you were writing an exam, would a similar analysis and its results be useful to you? Why or why not?

Answer 1

A statistics instructor wants to aure out how long it ill take her students on averg, Complete an exar She believes that Cornpletion lime should olloud an exponential dishibution ith mean X tiven )The appropriatc hypotheses in this case eses In 5 Ca5e Hypothesis is op te Porm Vs Hi Ao = 50 b)The instr opts to use a Signpahce level oP o-lo in the Context oP the Senario ラir HTuctor wants to use, at level of ignPance level of sini icance the- nu hypothesis Ho s teject ed on accepted c) The test the instructor ues has the Porm 2. for -He samples 553 0 Xio. 0-10 - 25x 28 412 710-3 →-The Instractor concludes that at Alo level op sianificance Ho is acceptea be avera o Class is 5o min (fos exam

d) Another instructor thinks that q signifitance level of o 01 would be q better choice we have to fest ^osa Smdll leve o SigniCiance Smal level of sigi Picance nctcases the efPicacy Hence is ec ommenced o. 이 level of sianipicane because in the Cases ot o00Cases only n Ho is sejected e)IP you weee witing an exam would q Similer analysis and its{esitts be useful to уоч es Then we have to chose the dafq anaomly om stlents 3 am may, be ohe. The hole analysis temains Sam