Applied Statistics in Business and Economics
5th Edition
ISBN: 9780077837303
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Chapter 6, Problem 68CE
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Question 2
The data below provides the battery life of thirty eight (38) motorcycle batteries.
100 83 83 105 110 81 114
99 101 105 78 115 74 96
106
89
94 81 106 91 93 86
79 103 94 108 113 100
117 120
77 93
93 85 76
89 78 88
680
a. Test the hypothesis that mean battery life is greater than 90. Use the 1% level of
significance.
b. Determine if the mean battery life is different from 80. Use the 10% level of
significance. Show all steps for the hypothesis test
c. Would your conlcusion in part (b) change at the 5% level of significance? |
d. Confirm test results in part (b) using JASP. Note: All JASP input files and output
tables should be provided
Suppose that 80% of athletes at a certain college graduate. You randomly select eight athletes. What’s the chance that at most 7 of them graduate?
Suppose that you flip a fair coin four times. What’s the chance of getting at least one head?
Chapter 6 Solutions
Applied Statistics in Business and Economics
Ch. 6.1 - Which of the following could not be probability...Ch. 6.1 - On hot, sunny, summer days, Jane rents inner tubes...Ch. 6.1 - On the midnight shift, the number of patients with...Ch. 6.2 - On hot, sunny, summer days, Jane rents inner tubes...Ch. 6.2 - On the midnight shift, the number of patients with...Ch. 6.2 - Pepsi and Mountain Dew products sponsored a...Ch. 6.2 - Student Life Insurance Company wants to offer an...Ch. 6.2 - A lottery ticket has a grand prize of 28 million....Ch. 6.2 - Oxnard Petro Ltd. is buying hurricane insurance...Ch. 6.3 - Prob. 10SE
Ch. 6.3 - Prob. 11SECh. 6.3 - Prob. 12SECh. 6.4 - List the X values that are included in each...Ch. 6.4 - Write the probability of each italicized event in...Ch. 6.4 - Find the mean and standard deviation for each...Ch. 6.4 - Prob. 16SECh. 6.4 - Calculate each binomial probability: a. X = 5, n =...Ch. 6.4 - Calculate each binomial probability: a. X = 2, n =...Ch. 6.4 - Prob. 19SECh. 6.4 - Prob. 20SECh. 6.4 - Prob. 21SECh. 6.4 - Calculate each binomial probability: a. Fewer than...Ch. 6.4 - In the Ardmore Hotel, 20 percent of the customers...Ch. 6.4 - Historically, 5 percent of a mail-order firms...Ch. 6.4 - At a Noodles Company restaurant, the probability...Ch. 6.4 - J.D. Power and Associates says that 60 percent of...Ch. 6.4 - Prob. 27SECh. 6.4 - Police records in the town of Saratoga show that...Ch. 6.5 - Find the mean and standard deviation for each...Ch. 6.5 - Find the mean and standard deviation for each...Ch. 6.5 - Calculate each Poisson probability: a. P(X = 6), ...Ch. 6.5 - Prob. 32SECh. 6.5 - Calculate each compound event probability: a. P(X ...Ch. 6.5 - Calculate each compound event probability: a. P(X ...Ch. 6.5 - Prob. 35SECh. 6.5 - Prob. 36SECh. 6.5 - According to J.D. Power and Associates 2006...Ch. 6.5 - At an outpatient mental health clinic, appointment...Ch. 6.5 - The average number of items (such as a drink or...Ch. 6.5 - (a) Why might the number of yawns per minute by...Ch. 6.5 - Prob. 41SECh. 6.5 - Prob. 42SECh. 6.5 - Prob. 43SECh. 6.5 - Prob. 44SECh. 6.5 - The probability that a passenger's bag will be...Ch. 6.6 - (a) State the values that X can assume in each...Ch. 6.6 - ABC Warehouse has eight refrigerators in stock....Ch. 6.6 - A statistics textbook chapter contains 60...Ch. 6.6 - Fifty employee travel expense reimbursement...Ch. 6.6 - A medical laboratory receives 40 blood specimens...Ch. 6.6 - Prob. 51SECh. 6.6 - Two hundred employee travel expense reimbursement...Ch. 6.6 - A law enforcement agency processes 500 background...Ch. 6.6 - Four hundred automobiles arc to be inspected for...Ch. 6.7 - Find each geometric probability. a. P(X = 5) when ...Ch. 6.7 - In the Ardmore Hotel. 20 percent of the guests...Ch. 6.7 - Prob. 57SECh. 6.8 - The height of a Los Angeles Lakers basketball...Ch. 6.8 - The height of a Los Angeles Lakers basketball...Ch. 6.8 - Prob. 60SECh. 6.8 - Prob. 61SECh. 6 - Define (a) random process, (b) random variable,...Ch. 6 - Without using formulas, explain the meaning of (a)...Ch. 6 - What is the difference between a PDF and a CDF?...Ch. 6 - (a) What are the two parameters of a uniform...Ch. 6 - (a) Describe a Bernoulli experiment and give two...Ch. 6 - Prob. 6CRCh. 6 - (a) What are the parameters of a Poisson...Ch. 6 - In the binomial and Poisson models, why is the...Ch. 6 - (a) When are we justified in using the Poisson...Ch. 6 - Prob. 10CRCh. 6 - When are we justified in using (a) the Poisson...Ch. 6 - Name a situation when we would need the (a)...Ch. 6 - What do Rules 1 and 2 say about transforming a...Ch. 6 - What do Rules 3 and 4 say about sums of several...Ch. 6 - In Rule 5, what does the covariance measure? What...Ch. 6 - The probability that a 30-year-old white male will...Ch. 6 - Prob. 63CECh. 6 - Prob. 64CECh. 6 - Prob. 66CECh. 6 - In a certain year, on average 10 percent of the...Ch. 6 - The probability that an American CEO can transact...Ch. 6 - In a certain Kentucky Fried Chicken franchise,...Ch. 6 - In a certain Kentucky Fried Chicken franchise,...Ch. 6 - Write the Excel binomial formula for each...Ch. 6 - Tired of careless spelling and grammar, a company...Ch. 6 - Prob. 73CECh. 6 - Prob. 74CECh. 6 - Prob. 75CECh. 6 - Write the Excel formula for each Poisson...Ch. 6 - A small feeder airline knows that the probability...Ch. 6 - Although television HDTV converters are tested...Ch. 6 - Prob. 79CECh. 6 - There is a 70 percent chance that an airline...Ch. 6 - Lunch customers arrive at a Noodles Company...Ch. 6 - In a major league baseball game, the average is...Ch. 6 - Prob. 83CECh. 6 - In a recent year, potentially dangerous commercial...Ch. 6 - At an outpatient mental health clinic, appointment...Ch. 6 - Prob. 86CECh. 6 - Prob. 87CECh. 6 - Past insurance company audits have found that 2...Ch. 6 - Prob. 89CECh. 6 - In Northern Yellowstone Lake, earthquakes occur at...Ch. 6 - On New Yorks Verrazano Narrows bridge, traffic...Ch. 6 - Leaks occur in a pipeline at a mean rate of 1 leak...Ch. 6 - Prob. 93CECh. 6 - The probability is .03 that a passenger on United...Ch. 6 - Prob. 95CECh. 6 - On average, 2 percent of all persons who are given...Ch. 6 - Prob. 97CECh. 6 - Prob. 99CECh. 6 - The probability that a bakery customer will order...Ch. 6 - Prob. 101CECh. 6 - For patients aged 81 to 90, the probability is .07...Ch. 6 - Prob. 103CECh. 6 - Prob. 104CECh. 6 - Prob. 105CECh. 6 - The Rejuvo Corp. manufactures granite countertop...Ch. 6 - Prob. 107CECh. 6 - Prob. 108CECh. 6 - Prob. 109CECh. 6 - Prob. 110CECh. 6 - Malaprop Ltd. sells two products. Daily sales of...
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- Suppose that the chance that an elementary student eats hot lunch is 30 percent. What’s the chance that, among 20 randomly selected students, between 6 and 8 students eat hot lunch (inclusive)?arrow_forwardBob’s commuting times to work are varied. He makes it to work on time 80 percent of the time. On 12 randomly selected trips to work, what’s the chance that Bob makes it on time at least 10 times?arrow_forwardYour chance of winning a small prize in a scratch-off ticket is 10 percent. You buy five tickets. What’s the chance you will win at least one prize?arrow_forward
- Suppose that 60 percent of families own a pet. You randomly sample four families. What is the chance that two or three of them own a pet?arrow_forwardIf 40 percent of university students purchase their textbooks online, in a random sample of five students, what’s the chance that exactly one of them purchased their textbooks online?arrow_forwardA stoplight is green 40 percent of the time. If you stop at this light eight random times, what is the chance that it’s green exactly five times?arrow_forward
- If 10 percent of the parts made by a certain company are defective and have to be remade, what is the chance that a random sample of four parts has one that is defective?arrow_forwardQuestion 4 Fourteen individuals were given a complex puzzle to complete. The times in seconds was recorded for their first and second attempts and the results provided below: 1 2 3 first attempt 172 255 second attempt 70 4 5 114 248 218 194 270 267 66 6 7 230 219 341 174 8 10 9 210 261 347 218 200 281 199 308 268 243 236 300 11 12 13 14 140 302 a. Calculate a 95% confidence interval for the mean time taken by each individual to complete the (i) first attempt and (ii) second attempt. [la] b. Test the hypothesis that the difference between the two mean times for both is 100 seconds. Use the 5% level of significance. c. Subsequently, it was learnt that the times for the second attempt were incorrecly recorded and that each of the values is 50 seconds too large. What, if any, difference does this make to the results of the test done in part (b)? Show all steps for the hypothesis testarrow_forwardQuestion 3 3200 students were asked about the importance of study groups in successfully completing their courses. They were asked to provide their current majors as well as their opinion. The results are given below: Major Opinion Psychology Sociology Economics Statistics Accounting Total Agree 144 183 201 271 251 1050 Disagree 230 233 254 227 218 1162 Impartial 201 181 196 234 176 988 Total 575 597 651 732 645 3200 a. State both the null and alternative hypotheses. b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic. | d. What conclusion are you allowed to draw? c. Would your conclusion change at the 10% level of significance? f. Confirm test results in part (c) using JASP. Note: All JASP input files and output tables should be providedarrow_forward
- Question 1 A tech company has acknowledged the importance of having records of all meetings conducted. The meetings are very fast paced and requires equipment that is able to capture the information in the shortest possible time. There are two options, using a typewriter or a word processor. Fifteen administrative assistants are selected and the amount of typing time in hours was recorded. The results are given below: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 typewriter 8.0 6.5 5.0 6.7 7.8 8.5 7.2 5.7 9.2 5.7 6.5 word processor 7.2 5.7 8.3 7.5 9.2 7.2 6.5 7.0 6.9 34 7.0 6.9 8.8 6.7 8.8 9.4 8.6 5.5 7.2 8.4 a. Test the hypothesis that the mean typing time in hours for typewriters is less than 7.0. Use the 1% level of significance. b. Construct a 90% confidence interval for the difference in mean typing time in hours, where a difference is equal to the typing time in hours of word processors minus typing time in hours of typewriter. c. Using the 5% significance level, determine whether there is…arrow_forwardIllustrate 2/7×4/5 using a rectangular region. Explain your work. arrow_forwardWrite three other different proportions equivalent to the following using the same values as in the given proportion 3 foot over 1 yard equals X feet over 5 yardsarrow_forward
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