The heights of adult men in America are normallydistributed, with a mean of 69.5 inches and astandard deviation of 2.69 inches. The heights ofadult women in America are also normallydistributed, but with a mean of 64.6 inches and astandard deviation of 2.51 inches.a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?Z =b) What percentage of men are SHORTER than 6feet 3 inches? Round to nearest tenth of apercent.%c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?Z =d) What percentage of women are TALLER than 5feet 11 inches? Round to nearest tenth of apercent.%

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Answered: The heights of adult men in America are…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The heights of Crepe Myrtle saplings at a local nursery are measured and the data recorded. The data is then plotted and the distribution is found to be bell-shaped. The mean of the set is 67 inches and the standard deviation is 3 inches. A graph of the situation is shown below: 58 61 64 67 70 73 76 a) What percentage of the saplings is more than 70 inches tall? b) What percentage of the saplings is between 61 and 73 inches tall?
The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.2 inches and a standard deviation of 2.51 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent. e) Who is relatively taller: a 63" American man or a 5'11" American woman? Defend your choice in a meaningful sentence.
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If some data is symmetrical and unimodal, and the mean and standard deviation are 230 and 40 respectively: a)How much of the data lies between 190 and 270 b)How much lies between 150 and 230 c)How much lies between 190 and 310
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.3 Mbps. The complete list of 50 data speeds has a mean of x = 18.24 Mbps and a standard deviation of s = 17.77 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? a. The difference is (Type an integer or a Mbps. decimal. Do not round.) b. The difference is (Round to two decimal standard deviations. places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The carrier's highest data speed is C
If the mean speed for a major league fast ball is 90 miles per hour and the standard deviation is 5 miles per hour, what would the standardized score be for a pitch that is 97 miles per hour? O 0.4 4.0 1.4 O 1.0
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.6 Mbps. The complete list of 50 data speeds has a mean of x=18.29 Mbps and a standard deviation of s=19.75 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? Question content area bottom Part 1 a. The difference is 54.3154.31 Mbps. (Type an integer or a decimal. Do not round.) Part 2 b. The difference is enter your response here standard deviations. (Round to two decimal places as needed.)
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. In a county male height is normally distributed with a mean of 177 cm and astandard deviation of 6 cm. What percentage of males have a height between 170cm and 182 cm.
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 63 ounces and a standard deviation of 7 ounces. a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 56 and 84 ounces? c) What percentage of the widget weights lie above 49 ? %
Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150 centimeters and a standard deviation of 12 centimeters. About how many of these children are taller than 162 centimeters? children
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 73.7 Mbps. The complete list of 50 data speeds has a mean of x = 16.05 Mbps and a standard deviation of s = 17.75 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? ..... a. The difference is Mbps. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The carrier's highest data speed is Next MacBook F12 DD F11 DII F10 F9 F8 888 00 F7 F6 F5 F4 F3 F2 F1 & ! @ # $ 7 8 4 5 6…

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