Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 6, Problem 6.4TI
In 2012, 1,664,479 students took the SAT exam. The distribution of scores in the verbal section of the SAT had a
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Based on a poll, among adults who regret getting tattoos, 28%
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Chapter 6 Solutions
Introductory Statistics
Ch. 6 - What is the z-score of x, when x = 1 and...Ch. 6 - Fill In the blanks. Jerome averages 16 points a...Ch. 6 - Use the Information in Example 6.3 to answer the...Ch. 6 - In 2012, 1,664,479 students took the SAT exam. The...Ch. 6 - Suppose X has a normal distribution with mean 25...Ch. 6 - The scores on a college entrance exam have an...Ch. 6 - If the area to the left of x is 0.012, then what...Ch. 6 - The golf scores for a school team were normally...Ch. 6 - The golf scores for a school team were normally...Ch. 6 - Use the Information in Example 6.10 to answer the...
Ch. 6 - Two thousand students took an exam. The scores on...Ch. 6 - Using the information from Example 6.12, answer...Ch. 6 - A bottle of water contains 12.05 fluid ounces with...Ch. 6 - A normal distribution has a mean of 61 and a...Ch. 6 - X~N(1,2)=Ch. 6 - A company manufactures rubber balls. The mean...Ch. 6 - X~N(-4, 1) What is the median?Ch. 6 - X~N(3,5)=Ch. 6 - X~N(2,1)=Ch. 6 - What does a z-score measure?Ch. 6 - What does standardizing a normal distribution do...Ch. 6 - Is X ~N(0, 1) a standardized normal distribution?...Ch. 6 - What is the z-score of x = 12, if it is two...Ch. 6 - What is the z-score of x = 9, if it is 1.5...Ch. 6 - What is the z-score of x = —2, if it is 2.78...Ch. 6 - What is the z-score of x = 7, if it is 0.133...Ch. 6 - Suppose X~ N(2, 6). What value of x has a z-score...Ch. 6 - Suppose X~ N(8, 1). ‘What value of x has a z-score...Ch. 6 - Suppose X ~N(9, 5). What value of x has a z-score...Ch. 6 - Suppose X~ N(2, 3). That value of x has a z-score...Ch. 6 - Suppose X ~N(4, 2). What value of x is 1.5...Ch. 6 - Suppose X ~N(4, 2). What value of x is two...Ch. 6 - Suppose X ~N(8, 9). What value of x is 0.67...Ch. 6 - Suppose X ~N(—1, 2). What is the z-score of x = 2?Ch. 6 - Suppose X ~N( 12, 6). What is the z-score of x =...Ch. 6 - Suppose X ~N(9, 3). What is the z-score of x = 9?Ch. 6 - Suppose a normal distribution has a mean of six...Ch. 6 - In a normal distribution, x = 5 and z = —1.25....Ch. 6 - In a normal distribution, x = 3 and z = 0.67. This...Ch. 6 - In a normal distribution, x = —2 and z = 6. This...Ch. 6 - In a normal distribution, x = —5 and z = —3.14....Ch. 6 - In a normal distribution, x= 6 and z —1.7. This...Ch. 6 - About what percent of x values from a normal...Ch. 6 - About what percent of the x values from a normal...Ch. 6 - About what percent of x values lie between the...Ch. 6 - Suppose X N( 15, 3). Between what x values does...Ch. 6 - Suppose X~ N(—3, 1). Between what x values does...Ch. 6 - Suppose X ~N(—3, 1). Between what x values does...Ch. 6 - About what percent of x values lie between the...Ch. 6 - About what percent of x values lie between the...Ch. 6 - About what percent of x values lie between the...Ch. 6 - About what percent of x values lie between the...Ch. 6 - Use the following information to answer the next t...Ch. 6 - Use the following information to answer the next t...Ch. 6 - How would you represent the area to the left of...Ch. 6 - What is the area to the right of one? Figure 6.13Ch. 6 - Is P(x < 1) equal to P(x1) ? ‘by?Ch. 6 - How would you represent the area to the left of...Ch. 6 - What is the area to the right of three? Figure...Ch. 6 - If the area to the left of x in a normal...Ch. 6 - If the area to the tight of x in a normal...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - X~N(6, 2) Find the probability that x is between...Ch. 6 - X~N(—3, 4) Find the probability that x is between...Ch. 6 - X~N(4,5) Find the maxium of x in the bottom...Ch. 6 - Use the following information to answer the next...Ch. 6 - Find the probability that a CD player will last...Ch. 6 - Find the 70th percentile of the distribution for...Ch. 6 - Use the following information to answer the next r...Ch. 6 - Use the following information to answer the next r...Ch. 6 - The length of time to find it takes to find a...Ch. 6 - The heights of the 430 National Basketball...Ch. 6 - The systolic blood pressure (given In millimeters)...Ch. 6 - Kyle’s doctor told him that the z-score for his...Ch. 6 - Height and weight are two measurements used to...Ch. 6 - In 2005, 1,475,623 students heading to college...Ch. 6 - Use the following information (0 answer the next...Ch. 6 - Use the following information (0 answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - According to a study done by De Anza students, the...Ch. 6 - IQ is normally distributed with a mean of 100 and...Ch. 6 - The percent of fat calories that a person In...Ch. 6 - Suppose that the distance of fly balls hit to the...Ch. 6 - In China, four-ear-olds average three bows a day...Ch. 6 - In the 1992 presidential election, Alaska's 40...Ch. 6 - Suppose that the duration of a particular type of...Ch. 6 - Tern Vogel, an amateur motorcycle racer, averages...Ch. 6 - Thuy Dau, Ngoc Bui, Sam Su, and Lan Voung...Ch. 6 - Suppose that Ricardo and Anita attend different...Ch. 6 - Table 6.4 shows a sample of the maximum capacity...Ch. 6 - An expert witness for a paternity lawsuit...Ch. 6 - A NUMMI assembly Line, which has been operating...Ch. 6 - We flip a coin 100 times (n = 100) and note that...Ch. 6 - A $1 scratch off lotto ticket will be a inner one...Ch. 6 - Facebook provides a variety of statistics on its...
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- What do you guess are the standard deviations of the two distributions in the previous example problem?arrow_forwardPlease answer the questionsarrow_forward30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y isy | 1 2 4 8 16p(y) | .05 .10 .35 .40 .10 a.Compute E(Y).b. Suppose an individual with Y violations incurs a surcharge of $100Y^2. Calculate the expected amount of the surcharge.arrow_forward
- 24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: F(x)=0.00 : x < 10.30 : 1≤x<30.40 : 3≤ x < 40.45 : 4≤ x <60.60 : 6≤ x < 121.00 : 12≤ x a. What is the pmf of X?b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X).arrow_forward59. At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using plus, 60% fill their tanks, whereas of those using premium, 50% fill their tanks.a. What is the probability that the next customer will request plus gas and fill the tank (A2 B)?b. What is the probability that the next customer fills the tank?c. If the next customer fills the tank, what is the probability that regular gas is requested? Plus? Premium?arrow_forward38. Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively. a. Calculate E(X) and then E(5 - X).b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 - X)]? [Note: It is not generally true that E(c/Y) = c/E(Y).]arrow_forward
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