Answered: The patient recovery time from a…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 5CR

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Question

The patient recovery time from a surgical procedure is normally distributed with a mean of 6.3 days and a standard deviation of 5.1 days

A) Give thw distribution of X.X~_____(_____,_____)

B.) What does the stndard deviation tell us about the spread of the data?

C) Draw and label a distribution curve

D) What is the probability of spending more then two days in recovery?

E) What is thw 80th precentile for recovery items? Interpret in a sentence.

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.

Expert Solution

Step 1

As per honor code we can only answer first three parts of the answer.

The given distribution is normal with mean = 6.3 days and standard deviation equals to 5.1 days.

The distribution of X is $X ~ N (6.3, 5.1)$ .

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