Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean ? = 27.1 kilograms and standard deviation ? = 4.0 kilograms. Let x be the weight of a fawn in kilograms. Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean = 27.1 kilograms and standard deviation = 4.0 kilograms. Let x be the weight of a fawn in kilograms.The Standard Normal Distribution(u=0,o=1)-368%of area95% of area99.7% of areafirst blanksecond blank2For parts (a), (b), and (c), convert the x intervals to z intervals. (For each answer, enter a number. Round your answers to two decimal places.)(a) x < 303(b) 19 < x (Fill in the blank. A blank is represented by __________)z 1.28Z(c) 32 < x < 35 (Fill in the blanks. A blank is represented by __________. There are two answer blanks.)first blanksecond blankFor parts (d), (e), and (f), convert the z intervals to x intervals. (For each answer, enter a number. Round your answers to one decimal place.)(d) -2.17 < z (Fill in the blank. A blank is represented by___.)-1.99 z 1.44 (Fill the blanks. A blank is represented by __________. There are two answer blanks.)

It is given that Mean = 27.1 and SD = 4.0 The z score is defined as Z = (X - mean)/SD Note :…

Answered: 99.7% of area For parts (a), (b), and…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean ? = 27.1 kilograms and standard deviation ? = 4.0 kilograms. Let x be the weight of a fawn in kilograms.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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