Assume that the mean systolic blood pressure of normal adults is 120millimeters of mercury (mmHg) and the standard deviation is 5.6. Assume the variable is normally distributed. Round the answers to at least 4 decimal places and intermediate z-value calculations to 2 decimal places.If a sample of 35 adults is randomly selected, find the probability that the sample mean will be between 120 and 122.2mmHg. Assume that the sample is taken from a large population and the correction factor can be ignored.=P<120<X122.2

given data,normal distributionμ=120σ=5.6n=35p(120<x¯<122.2)=?

Answered: Assume that the mean systolic blood…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 4CYU

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Question

Assume that the mean systolic blood pressure of normal adults is

120millimeters

of mercury (

mmHg

) and the standard deviation is

5.6

. Assume the variable is normally distributed. Round the answers to at least

decimal places and intermediate

-value calculations to

decimal places.

If a sample of

adults is randomly selected, find the probability that the sample mean will be between

120

and

122.2mmHg

. Assume that the sample is taken from a large population and the correction factor can be ignored.

=P<120<X122.2

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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