The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.67 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.8 inches and a standard deviation of 2.54 inches. a) If a man is 6 feet 5 inches tall, what is his z-score? b) What percentage of men are SHORTER than 6 feet 5 inches? c) If a woman is 5 feet 8 inches tall, what is her z-score? Z =

The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.67 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.8 inches and a standard deviation of 2.54 inches. a) If a man is 6 feet 5 inches tall, what is his z-score? b) What percentage of men are SHORTER than 6 feet 5 inches? c) If a woman is 5 feet 8 inches tall, what is her z-score? Z =

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...

See similar textbooks

Similar questions

A successful basketball player has a height of 6 feet 77inches, or 201201 cm. Based on statistics from a data set, his height converts to the z score of 3.743.74. How many standard deviations is his height above the mean?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 42 ounces and a standard deviation of 5 ounces. Use the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 27 and 47 ounces? % c) What percentage of the widget weights lie below 52 ?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 64 ounces and a standard deviation of 3 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 95% of the widget weights lie between oz and b) What percentage of the widget weights lie between 55 and 70 ounces? % c) What percentage of the widget weights lie below 67 ? %
The life span of Duracell batteries is normally distributed. The mean life span is 10,502 hours an the standard deviation is 415 hours. If 66,500 duracell batteries are manufactured, approximately how many of those batteries last at least 9,850 hours? A 39,900 B. 46,600 C. 59,900 D. 62,600
The histogram (click the attacthed photo to view) shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level and 5 is the strongest level. A) The mean is? B) The variance is? C)The standard deviation is?
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
For the normal distribution of adult males in North America (mean=70.0 inches, standard deviation=4.0 inches), find the proportion of those who are a) under 65 inches b) over 76 inches c) between 67 and 73 inches
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 ? %
A successful basketball player has a height of 6 feet 3 inches, or 191 cm. Based on statistics from a data set, his height converts to the z score of 2.31. How many standard deviations is his height above the mean?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 35 ounces and a standard deviation of 10 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 5 and 45 ounces? c) What percentage of the widget weights lie below 55 ?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 61 ounces and a standard deviation of 9 ounces. Use the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 95% of the widget weights lie between and b) What percentage of the widget weights lie between 52 and 79 ounces? % c) What percentage of the widget weights lie above 34? %
A successful basketball player has a height of 6 feet 4 inches, or 193 cm. Based on statistics from a data set, his height converts to the z score of 2.66. How many standard deviations is his height above the mean?