weight for salmon is 12.3 pounds, with a standard deviation of 2 pounds. Assuming that the weights of salmon are nor- mally distributed, what is the probability that a randomly selected salmon will weigh 18 d. 1% a. between 12 and 15 pounds? b. less than 10 pounds? c. Between what two values will 95% of the salmon weights fall? 6.10 A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 8. a. What is the probability of getting a grade below 91 on this exam? b. What is the probability that a student scored between 65 and 897 c. The probability is 5% that a student taking the test scores higher than what grade? d. If the professor grades on a curve (i.e., gives A's to the top 10% of the class, regardless of the score), are you better off with a grade of 81 on this exam or a grade of 68 on a different exam, where the mean is 62 and the standard deviation is 3? Show your answer statistically and explain. 6.11 A statistical analysis of 1,000 long-distance telephone calls made from the headquarters of the Bricks and Clicks Computer Corporation indicates that the length of these calls is normally distributed, with µ 240 seconds and 40 seconds. a. What is the probability that a call lasted less than 180 seconds? b. What is the probability that a call lasted between 180 and 300 seconds? 6.12 certit under evalu 1,387 $18,7 Quali the sa For a i or she a. bel b. abo c. abo 6.13 of mac particu mm, b 22.010 process with a mm. Fe .thelp mn b. the p c. the d d. Wha the s 0.00 6.3 Evaluating Normality As discussed in Section 6.2, many continue mal distribution. This section presents two can be approximated by the normal distribu 1. Comparing the characteristics of the da tribution 2. Constructing a normal probability plot Comparing Data Characteris
weight for salmon is 12.3 pounds, with a standard deviation of 2 pounds. Assuming that the weights of salmon are nor- mally distributed, what is the probability that a randomly selected salmon will weigh 18 d. 1% a. between 12 and 15 pounds? b. less than 10 pounds? c. Between what two values will 95% of the salmon weights fall? 6.10 A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 8. a. What is the probability of getting a grade below 91 on this exam? b. What is the probability that a student scored between 65 and 897 c. The probability is 5% that a student taking the test scores higher than what grade? d. If the professor grades on a curve (i.e., gives A's to the top 10% of the class, regardless of the score), are you better off with a grade of 81 on this exam or a grade of 68 on a different exam, where the mean is 62 and the standard deviation is 3? Show your answer statistically and explain. 6.11 A statistical analysis of 1,000 long-distance telephone calls made from the headquarters of the Bricks and Clicks Computer Corporation indicates that the length of these calls is normally distributed, with µ 240 seconds and 40 seconds. a. What is the probability that a call lasted less than 180 seconds? b. What is the probability that a call lasted between 180 and 300 seconds? 6.12 certit under evalu 1,387 $18,7 Quali the sa For a i or she a. bel b. abo c. abo 6.13 of mac particu mm, b 22.010 process with a mm. Fe .thelp mn b. the p c. the d d. Wha the s 0.00 6.3 Evaluating Normality As discussed in Section 6.2, many continue mal distribution. This section presents two can be approximated by the normal distribu 1. Comparing the characteristics of the da tribution 2. Constructing a normal probability plot Comparing Data Characteris
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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