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Height has an approximately bell-shaped distribution. For a sample of heights of college students collected, the males had x = 72 and s=4 and the females had x = 64 and s=4. Use this information to answer parts a and b. a. Use the empirical rule to describe the distribution of heights for males. Approximately 68% of the observations fall within the interval ( 68, 76). (Type a whole number.) Approximately 95% of the observations fall within the interval ( 64, 80). (Type a whole number.) All or nearly all of the observations fall within the interval ( 60, 84). (Type a whole number.) C... b. The standard deviation for the overall distribution (combining females and males) was 5. Why would you expect it to be larger than the standard deviations for the separate male and female height distributions? O A. This will always be the case because it increases the sample size. OB. This is the case because the standard deviations for the separate distributions are equal. O C. This is expected because the distributions are bell-shaped. O D. The standard deviation for the overall distribution of a combination will usually be larger than the standard deviation for two distributions with different means because spread to the data. introduces more

Height has an approximately bell-shaped distribution. For a sample of heights of college students collected, the males had x = 72 and s=4 and the females had x = 64 and s=4. Use this information to answer parts a and b. a. Use the empirical rule to describe the distribution of heights for males. Approximately 68% of the observations fall within the interval ( 68, 76). (Type a whole number.) Approximately 95% of the observations fall within the interval ( 64, 80). (Type a whole number.) All or nearly all of the observations fall within the interval ( 60, 84). (Type a whole number.) C... b. The standard deviation for the overall distribution (combining females and males) was 5. Why would you expect it to be larger than the standard deviations for the separate male and female height distributions? O A. This will always be the case because it increases the sample size. OB. This is the case because the standard deviations for the separate distributions are equal. O C. This is expected because the distributions are bell-shaped. O D. The standard deviation for the overall distribution of a combination will usually be larger than the standard deviation for two distributions with different means because spread to the data. introduces more

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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Height has an approximately bell-shaped distribution. For a sample of heights of college students collected, the males had x = 72 and s = 4 and the females had x = 64 and s = 4. Use this information to answer parts a and b. a. Use the empirical rule to describe the distribution of heights for males. Approximately 68% of the observations fall within the interval ( 68, 76 ). (Type a whole number.) Approximately 95% of the observations fall within the interval ( 64, 80 ). (Type a whole number.) All or nearly all of the observations fall within the interval ( 60, 84). (Type a whole number.) b. The standard deviation for the overall distribution (combining females and males) was 5. Why would you expect it to be larger than the standard deviations for the separate male and female height distributions? A. This will always be the case because it increases the sample size. B. This is the case because the standard deviations for the separate distributions are equal. C. This is expected because the distributions are bell-shaped. D. The standard deviation for the overall distribution of a combination will usually be larger than the standard deviation for two distributions with different means because it introduces more spread to the data.
Transcribed Image Text:Height has an approximately bell-shaped distribution. For a sample of heights of college students collected, the males had x = 72 and s = 4 and the females had x = 64 and s = 4. Use this information to answer parts a and b. a. Use the empirical rule to describe the distribution of heights for males. Approximately 68% of the observations fall within the interval ( 68, 76 ). (Type a whole number.) Approximately 95% of the observations fall within the interval ( 64, 80 ). (Type a whole number.) All or nearly all of the observations fall within the interval ( 60, 84). (Type a whole number.) b. The standard deviation for the overall distribution (combining females and males) was 5. Why would you expect it to be larger than the standard deviations for the separate male and female height distributions? A. This will always be the case because it increases the sample size. B. This is the case because the standard deviations for the separate distributions are equal. C. This is expected because the distributions are bell-shaped. D. The standard deviation for the overall distribution of a combination will usually be larger than the standard deviation for two distributions with different means because it introduces more spread to the data.
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