Probability and Statistics for Engineers and Scientists
9th Edition
ISBN: 9780321629111
Author: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye
Publisher: Prentice Hall
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Chapter 3.4, Problem 38E
a.
To determine
Obtain the value of
b.
To determine
Obtain the value of
c.
To determine
Obtain the value of
d.
To determine
Obtain the value of
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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 3 Solutions
Probability and Statistics for Engineers and Scientists
Ch. 3.3 - Classify the following random variables as...Ch. 3.3 - An overseas shipment of 5 foreign automobiles...Ch. 3.3 - Let W be a random variable giving the number of...Ch. 3.3 - A coin is flipped until 3 heads in succession...Ch. 3.3 - Determine the value c so that each of the...Ch. 3.3 - Prob. 6ECh. 3.3 - The total number of hours, measured in units of100...Ch. 3.3 - Find the probability distribution of the random...Ch. 3.3 - Prob. 9ECh. 3.3 - Find a formula for the probability distribution of...
Ch. 3.3 - A shipment of 7 television sets contains 2...Ch. 3.3 - An investment firm offers its customers municipal...Ch. 3.3 - The probability distribution of X, the number of...Ch. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Construct a graph of the cumulative distribution...Ch. 3.3 - A continuous random variable X that can assume...Ch. 3.3 - A continuous random variable X that can assume...Ch. 3.3 - For the density function of Exercise 3.17, find...Ch. 3.3 - For the density function of Exercise 3.18, find...Ch. 3.3 - Consider the density function
Evaluate k.
Find...Ch. 3.3 - Three cards are drawn in succession from a deck...Ch. 3.3 - Prob. 23ECh. 3.3 - Find the probability distribution for the number...Ch. 3.3 - From a box containing 4 dimes and 2 nickels, 3...Ch. 3.3 - From a box containing 4 black balls and 2 green...Ch. 3.3 - The time to failure in hours of an important piece...Ch. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Measurements of scientific systems are always...Ch. 3.3 - Based on extensive testing, it is determined by...Ch. 3.3 - Prob. 32ECh. 3.3 - Suppose a certain type of small data processing...Ch. 3.3 - Magnetron tubes are produced on an automated...Ch. 3.3 - Suppose it is known from large amounts of...Ch. 3.3 - On a laboratory assignment, if the equipment is...Ch. 3.4 - Prob. 37ECh. 3.4 - If the joint probability distribution of X and Y...Ch. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Let X and Y denote the lengths of life, in years,...Ch. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Let X denote the diameter of an armored electric...Ch. 3.4 - Referring to Exercise 3.38, find
the marginal...Ch. 3.4 - The amount of kerosene, in thousands of liters, in...Ch. 3.4 - Referring to Exercise 3.39, find
f(y|2) for all...Ch. 3.4 - Let X denote the number of times a certain...Ch. 3.4 - Suppose that X and Y have the following joint...Ch. 3.4 - Prob. 51ECh. 3.4 - A coin is tossed twice. Let Z denote the number of...Ch. 3.4 - Given the joint density function
find P(1< Y < 3...Ch. 3.4 - Determine whether the two random variables of...Ch. 3.4 - Determine whether the two random variables of...Ch. 3.4 - The joint density function of the random variables...Ch. 3.4 - Let X, Y, and Z have the joint probability density...Ch. 3.4 - Determine whether the two random variables of...Ch. 3.4 - Prob. 59ECh. 3.4 - The joint probability density function of the...Ch. 3.4 - Prob. 61RECh. 3.4 - Prob. 62RECh. 3.4 - Prob. 63RECh. 3.4 - Prob. 64RECh. 3.4 - Prob. 65RECh. 3.4 - Prob. 66RECh. 3.4 - Prob. 67RECh. 3.4 - Prob. 68RECh. 3.4 - Prob. 69RECh. 3.4 - Prob. 70RECh. 3.4 - Prob. 71RECh. 3.4 - Prob. 72RECh. 3.4 - Prob. 73RECh. 3.4 - Prob. 74RECh. 3.4 - A chemical system that results from a chemical...Ch. 3.4 - Consider the situation of Review Exercise 3.75....Ch. 3.4 - Prob. 77RECh. 3.4 - Prob. 78RECh. 3.4 - Prob. 79RECh. 3.4 - Prob. 80RE
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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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