Sample_Exam_Problems_with_Answers_-_Set_1

Sample_Exam_Problems_with_Answers_-_Set_1 -...

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Sample Exam Problems with Answers – Set #1 Each problem has been evaluated for degree of difficulty using the following legend. DoD= Degree of Difficulty. E = easy. M = median. H = hard. ED = extra difficult 1.A sample of 16 students is taken and it assumed to be normally distributed. The  average age in the sample was 22 years with a standard deviation of 6 years. Construct  a 95 % confidence interval for the average age of the population. Answer: 19.06  -  24.94 DoD=E 2.Construct a 90% confidence for the population mean, µ. Assume the population has a  normal distribution. In a recent study of 22 eighth graders, the mean number of hours  per week that they watched television was 19.6 with a standard deviation of 5.8 hours. Answer: 17.5659 – 21.6341 A DoD=E 3.A random sample of 40 students has a mean annual earnings of $3120 and a standard  deviation of $677. Construct the 90% confidence interval for the population. Answer: 2943.91 – 3296.09 DoD=E D 4.IQ test scores are normally distributed with a mean of 100 and a standard deviation of  15. An individual’s IQ score is found to be 120. Find the z-score corresponding to this value. Answer: 1.3333 DoD=E 5.An airline knows from experience that the distribution of the number of suitcases that  get lost each week on a certain route is approximately normal with µ = 15.5 and   = 3.6. What is σ   the probability that during a given week the airline will lose less than 20 suitcases? Answer: 0.89435 DoD=M
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6.A sample of 100 bean cans showed an average weight of 13 ounces with a standard  deviation of 0.8 ounces. Construct a 90% confidence interval for the mean of the  population. Answer: 12.8684 – 13.1316 DoD=E 7.Peter took his finance exam last week, and he got 89/100. The mean for his class was  77, with a standard deviation of 15. Jenna took her math test last week too, and she got  84/100. The mean for her class was 75, with a standard deviation of 5. They were  arguing on who did better, who do you think did better relative to their class?  Answer : We need to use z-scores.  For Peter  Z=0.8 For Jenna the Z value is 1.8 The z-score associated with Jenna's score test is higher than the z-score test 
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This note was uploaded on 09/17/2011 for the course QMB 3200 taught by Professor Zanakis during the Spring '08 term at FIU.

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Sample_Exam_Problems_with_Answers_-_Set_1 -...

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