Math 221 Week 8 Final Exam

Math 221 Week Week 8 Final Exam MATH MATH 533 Applied Managerial Mana gerial Statistics

Download Page 1 1. Question: (T! "# The annual Salary of an electrical engineer is given in terms of the years of experience by the table below. ind the e!uation of linear regression for the above data and obtain the expected salary for an engineer with "5 years of experience. #ound to the nearest $%&&. 2. Question: Question: (T! $# A company produces window frames. 'ased on a statistical analysis( we found that %5) of their product is defective. They have shipped %& windows to one of their customers. The customer is worried about about the probability of of having defective frames. *hoose the best answer answer of the following+ %. Question: (T! $# A test is composed of six multiple choice !uestions where each !uestion has " choices. ,f the answer choices for each !uestion are e!ually li-ely( li-ely( find the probability of answering 3 #  " !uestions correctly. &. Question: (T! $# ,t has been recorded that the average number of errors in a newspaper is " mista-es per page. /hat is the probability of having % or 01..2 $. Question: (T! 2# The median height of the players on a high school bas-etball team is 4 inches. /hat does this tell you about the typical height of 1.2 '. Question: (T! '# sing the standard normal distribution( find the probability that 6 is greater than %.74 drivers in 8enver is claimed claimed to be 5.9 years. A . Question: (T! 8# The mean age of school bus drivers hypothesis test test is performed at a level of significance significance of &.&% with a :;value :;value of &.&9. *hoose the best interpretation of the hypothesis test. 8. Question: (T! 8# A poll of .S. health professionals revealed less than 40) would choose the same career. ,n a hypothesis hypothesis test conducted conducted at a level level of significance significance of %)( a :;value :;value of &.&35 was obtained. *hoose the best interpretation of the hypothesis test.   leaf 11. Question: (T! %# The ages of 05 employees  plot to determine the the shape of the distribution1... distribution1... 12. Question: (T! 1# A statistician is considering using a 99) confidence interval for a study instead of a 95) confidence interval. /hat happens to the re!uired sample si6e if the confidence confidence level is increased from 95) to 99) and the same error is re!uired in each case2 1%. Question: (T! '# Scores on an assessment exam at a private school are normally distributed( with a mean of 75 and a standard deviation of %%. Any student student who scores in the top 7) is eligible for a scholarship. /hat is the lowest whole number score you can earn and still be eligible for a scholarship2 shipment of "& computers contains five that are defective. How many ways can 1&. Question: (T! $# A shipment a small business112 1$. Question: (T! '# The time re!uired to ma-e %%&& gallons of synthetic rubber at a plant in South

America in a recent year was normally distributed with a mean of % hours and a standard deviation of 3 hours. /hat is the probability that it will ta-e more than %9 hours to ma-e %%&& gallons of synthetic rubber2 pounds@( is given by the the e!uation y;hat  459 B 5.7a 1'. Question: (T! 1)# The annual rice yield ?in pounds@( B 3.40b( where CaD is the number of acres planted ?in thousands@( and CbD is the number of acres harvested ?in thousands@. :redict the annual rice yield ?in pounds@ when the number of acres planted is 055&11. 1. Question: (T! "# 8escribe the correlation in this graph. Page 2 1. Question: (T! 8# or the following statement( write the null hypothesis and the alternative hypothesis. Then( label the one that is the claim1.. %5;minute il and Eube service claims that their average service time is no 2. Question: (T! 11# A %5;minute more than %5 minutes. A random sample of 35 service times was collected( and the sample mean was found to be %.0 minutes( with a sample standard deviation of 3.5 minutes. ,s there evidence to support( or  to reFect the claim at the alpha  &.&5 level2 :erform an appropriate hypothesis test( showing the necessary calculations andGor explaining the process used to obtain the results. %. Question: (T! $# The probability that a house in an urban area will be burglari6ed is 5). ,f 5& houses are randomly selected( what is the probability that one of the houses will be burglari6ed2 ?a@ ,s this a binomial experiment2 =xplain how you -now. ?b@ se the correct formula to find the probability that( out of 5& houses( exactly " of the houses will be burglari6ed. Show your calculations or explain how you found the probability. &. Question: (T! '# The average monthly gasoline purchase for a family with 0 cars is 9& gallons. This statistic has a normal distribution with a standard deviation of %& gallons. A family is chosen at random. ?a@ ind the probability that the familyD fa milyDss monthly gasoline purchases will be between 4 and 9 gallons. ?b@ ind the probability that the familyDs monthly gasoline purchases will be less than 47 gallons. ?c@ ind the probability that the familyDs monthly gasoline1... charges. They originally believed $. Question: (T! 8# An engineering firm is evaluating their bac- charges. their average bac- charge was $%4&&. They are concerned that the true average is higher( which could hurt their !uarterly earnings. They randomly select "& customers( and calculate the corresponding sample mean bac- charge to be $%95&. ,f the standard deviation of bac- charges is $5&&( $5&&( and alpha  &.&"( should the engineering firm be concerned2 :erform an appropriate hypothesis test( showing the necessary calculations andGor explaining the process used to obtain the results. '. Question: (T! # A mar-eting firm wants to estimate the average amount spent by patients at the hospital pharmacy. pharmacy. or a sample of 0&& randomly selected patients( the mean amount spent was $90.75 and the standard deviation $%3.%&. ?a@ ind a 95) confidence interval for the mean amount spent by  patients at the pharmacy. pharmacy. Show your your calculations andGor andGor explain the process used used to obtain the interval. ?b@ ,nterpret this confidence interval and write a sentence that explains it. . Question: (T! # A drug manufacturer wants to estimate the mean heart rate for patients with a certain heart condition. 'ecause the condition is rare( the manufacturer can only find %5 people with the the condition currently untreated. untreated. rom this small sample( the mean heart rate is 90 beats per minute with a standard deviation of 4. ?a@ ind a 94) confidence interval for the true mean heart rate of all people with this untreated condition. Show your calculations andGor explain 8. Question: (T! 2# The heights of %& sixth graders are listed in inches+ 5&( 0( 5"( 57( &( 57( 53( 57( 59( 54I. ?a@ ind the mean( median( mode( sample variance( and range. ?b@ 8o you thin- that this sample might have come from a normal population2 /hy or why not2

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