QMB_EXAM_2 PICTURES - Question 1-4 points For the following...

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Unformatted text preview: Question 1 [-4- points) For the following hypothesis test where H0: E 1.0 vs. Ha: } 1.0, we reject HD at level of significance '9 and conclude that the true mean is greater than 1.8 Iwrhen the true mean is really 8. Based on this information we can state that we have: Student response: Percent Correct Student Answer Choices Value Response Response 100.0%- ) } a. Made a Type I error 0.0% b. Made a Type 11 error 0.0% c. Made a correct decision 0.0% d. Increased the power of the test Score: 4.! 4. Question2 [-4- points] In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3 inches with a standard deviation of .3 inches. IWhat is the 95% confidence interval for the true mean length of the bolt? StUdEl—lt response: Percent Answer Choices Value 0.0% . 2.304- to 3.1.95 0.0% . 2.388 to 3.592 100.0%: . 2.??8 to 3.231 0.0% . 2.412 to 3.588 0.0% . 2.81.4- to 3.1.86 Score: 43' 4- Question3 [4 points) Wl'IEI'I constructing a confidence interval for a sample proportion, the t distribution is appropriate if the sample size is small. Student response: Percent Correct Student Answer Choices Value Response Response 0. 0% a. Tru e 100.0% D D 0. False Score: 41'4- Question4 (4 points) The average waiting time per customer at a fast food restaurant has been ?.5 minutes. The customer waiting time has a normal distribution. The manager claims that the use of a new cashier system will decrease the average customer waiting time in the store. Based on a random sample of 1.6 customer transactions the mean waiting time is 6.3 minutes and the standard deviation is 2 minutes per customer. What is the value of the test statistic? Student response: Percent Correct Student Answer Choices Value Response Response 0. 0% a. t = -]..2 0.0% b. t = 2.4 100.0% D D c. t = -2.4 0. 0% d. t = -0.5 0. 0% e. t = 9.5 Score: 41'4- Question 5 (4 points) A financial analyst believes that a fast food chain should be purchased if average daily profits are more than $1,000 per day. The standard deviation of daily:r profits is l-cnown to be $200 and the significance level is .05. A random sample of 1.00 days resulted in an average profit of $1050. At the .05 level of significance, there is not sufficient evidence that the average daily profit is more than $1000 per day. Student response: Percent Correct Student Answer Choices Value Response Response 0. 0% a. Tru e 100.0% D D 0. False Question 5 (4 points) The production managerfor the XYZ manufacturing companyr is concerned that the customer orders are being shipped late. He asked one of his planners to checl-c the timeliness of shipments for 1,000 orders. The planner randomlyr selected 1,000 orders and found that 1.20 orders were shipped late. What is the 95% confidence interval for the proportion of orders shipped late?I Student response: Percent Correct Student Answer Choices Value Response Response 0.0% a. .103]. to .1359 100.0% D D b. .10 to .14 0.0% C. .09 to .15 0.0% d. .109? to .1303 0.0% e. .0935 to .1454 Score: 4-1" 4 Question I" (4 Joints) When the level of confidence and sample standard deviation remain the same, a confidence interval for a population mean based on a sample of n = 1.00 will be a confidence interval for a population mean based on a sample of n = 50. Student response: Percent Correct Student Answer Choices Value Response Response 0.0% a. Wider than 100.0% D D b. Narrower than 0.0% c. Equal to Score: 4-." 4 Question 0 (4 points) The width of a confidence interval will be: Student response: Percent Correct Student Answer Choices Value Response Response 0.0% . Narrower for 99% confidence than 95% confidence. 0.0% b. Wider for a sample size of 100 than for a sample size of 50. 100.090: c. Narrower for 90% confidence than 95% confidence. 0.0% d. Wider when the sample standard deviation (5) is small than when 5 is large. 0.0% . None of the above Score: 43' 4 Question!) (4 points) If a two-sided null hypothesis is rejected for a single mean at a given significance levelr the corresponding one- sided null hypothesis (i.e., the same sample size, the same standard deviation, and the same mean] will be rejected at the same significance level. Student response: Percent Correct Stud ent Answer Ch 0 i ces Value Response Response 1 00. 0% I a. Always 0.0% b. Sometimes 0.0%: ’ c. Never Score: 0 f 4 Question 10 [4 points) When the null hypothesis is not rejectedr there is no possibility of making a Type I error. Student response: Percent Correct Student Answer Choices Value Response Response 100.0% ) D a. True 0. 0% b. False Question 11 (4 points) When the level of confidence and sample standard deviation remain the same, a confidence interval for a population mean based on a sample of n = 100 will be narrower than a confidence interval for a population mean based on a sample of n = 50. Student response: Percent Co rrect Stud ent Answer Ch oi ces Value Response Response 100.0% } b a. True 0. 0% b. False Score: 4/4 Question 12 (4 points) In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3 inches with a variance of .09. What is the 90% confidence interval for the true mean length of the bolt? Student response: Percent Correct Student Answer Choices Value Response Response 0.0% a. 2.8355 to 3.1645 0.0% b. 2.5055 to 3.4935 0.0%: i c. 2.4420 to 3.5580 100.0% } d. 2.8140 to 3.1050 0.0% e. 2.9442 to 3.0558 Score: 0 f 4 Question 13 (4 points) The average waiting time per customer at a fast food restaurant has been ?.5 minutes. The customer waiting time has a normal distribution. The manager claims that the use of a new cashier system will decrease the average customer waiting time in the store. A random sample of 12 customer transactions has been recorded. At a significance level of .05.. what is the rejection point condition? We would reject the null hypothesis if: Stu d ent response: Percent Correct Student Answer Choices Value Response Response 0.0% a. Z < -l.545 0.0% in. Z 3 1.545 0.0% c. t 3 1.?95 100.0% I h d. t < -1.?05 0.0% e. t <: -1.?82 Score: 4-! 4- Question 14 (4 points) For the following hypothesis test where H0: p E 10 vs. Ha: p :> 10r we reject HD at level of significance 0 and conclude that the true mean is greater than 10 when the true mean is reallyr 14. Based on this information we can state that we have: Stu d ent response: Percent Correct Student Answer Choices Value Response Response 0.0% a. Made a Type I error 0.0% b. Made a Type 11 error 100.0% } i c. Made a correct decision 00% d. Increased the power of the test Score: 4-)” 4- Question 15 (4 points) As the level of significance 0 increases, we are more likely to rejectthe null hypothesis. Stu d ent response: Percent Correct Student Answer Choices Va lu e Response Response 1 00. 0% I a. Tru e 0 .0 =0: } 0. False Question 16 {4 points) The t distribution approaches the as the sample size Student response: Percent Correct Student Answer Choices Value Response Response 0.0% a. Binornial, increases 0.0% b. Binomial, decreases 0.0% c. 2r decreases 100.0% } i d. 2, increases Score: 4-.“ 4 Question 17 {4 points) A test statistic is computed from sample data in hypothesis testing and is used in making a decision about whether or not to reject the null hypothesis. Student response: Percent Correct Student Answer Choices Value Response Response 100.0% D D a. True 00% b. False Score: 4.; 4 Question 13 {4 points) Asthe level of significance 0 increases, we are more likely to reject the null hypothesis. Student response: Percent Correct Student Answer Choices Value Response Response 1 00. 0% b a. True 0 .0% h 0. False Score: 0 i" 4 Question 19 (4 points) If a null hypothesis is rejected at a significance level of 0.01, it will be rejected at a significance level of 0.05 Student response: Percent Correct Student Answer Choices Value Response Response 1 00. 0% b a. Always 0.0% i b. Sometimes 0. 0% c. Never Score: 01'4 Question 20 (4 points) What sample size would be required to estimate u to within :t 3 with 95% confidence if the population standard deviation is 24.5? Student response: Percent Correct Student Answer Choices Value Response Response 0. 0% El. 3’59 0. 0% b. 124 100.0% ) I c. 25? 0. 0% d. 91 0. 0% e. 232 1. Score: 41’4- Question 21 (4 points) For the following hypothesis test where H0: u 5 10 vs. Ha: u :> 10, we reject HD at level of significance 0 and conclude that the true mean is greater than 10 when the true mean is really 8. Based on this information we can state that we have: Student response: Percent Correct Student Answer Choices Value Response Response 100.0% } } a. Made a Type I error Question 22 (i points) InI'l'hen carrying out a large sample test of H0: u = 10 vs. Ha: p > 1.0 by using a rejection point, we reject HD at level of significance 0 when the calculatec test statistic is: Student response: Percent Correct Student Answer Choices Value Response Response 100.0% ) a. Less than 2a 100.0% ) 0. Less than -23 100.0% k c Greater then 2312 100.0% k h a. Greater then 23 100.0% } e. Less then the p value Score: 4.." 4- lQuestion 23 (Ii-points) when the null hypothesis is truer there is no possibility of making a Type I error. Student response: Percent Correct Student Answer Choices Value Response Response 0. 0% a. True 100.0% I b 0. False Score: 41'4- Question 24 (4- points) The average customer waiting time at a fast food restaurant has been ?.5 minutes. The customer waiting time has a normal distribution. The manager claims that the use of a new system will decrease average customer waiting time in the store. What is the null and alternative hypothesis for this scenario? Student response: Percent Correct Student Answer Choices Value Response Response 0.0% a. HD: u = 15 and HA at 15 0.0% in. H0: u S 7.5 and HA} 7.5 100.0% k b c. H0:u a 15 and HA c 15 0.0% d. H0: u 3- 7.5 and HA 2 7.5 0.0% e. HD: S :> 15 and HA = 15 Score: 43'4- Question 25 {4 points) A confidence interval increases in width as Student response: Percent Correct Student Answer Choices Value Response Response 0.0% a. The level of confidence increases 0.0% b. n decreases 0.0% c. s increases 100.0% } D d. All of the above Score: 41'4- Total score: BI] I 100 = 30.0% ...
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