BUSI 230 HW 7.1 The Standard Normal Curve Assignment solutions complete answers
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Select the appropriate word or phrase to complete the sentence.
If is a continuous random variable, then for any number .
A normal distribution with mean and standard deviation is called the normal distribution.
The mean, median, and mode of a normal distribution are each other.
A normal distribution with mean and standard deviation is called the normal distribution.
For a standard normal distribution, points on the horizontal axis to the right of the mode have -scores.
For a standard normal distribution, points on the horizontal axis to the left of the mode have -scores.
The following figure is a normal curve that represents the approximate heights, in inches, of adult women in the United States.
(a) Find the proportion of cats who weigh more than pounds.
(b) Find the proportion of cats who weigh less than pounds.
(c) Find the proportion of cats who weigh between and pounds.
Find each of the shaded areas under the standard normal curve using a TI-84 calculator. Round the answers to four decimal places.
The area of the shaded region is
Find the area under the standard normal curve to the left of the following -values. Round the answers to four decimal places.
(a)Find the area under the standard normal curve to the left of z=2.21.
(b)Find the area under the standard normal curve to the left of z=-1.30.
Find the area under the standard normal curve to the right of the following -values. Round the answers to four decimal places.
(a)Find the area under the standard normal curve to the right of z=0.78.
(b)Find the area under the standard normal curve to the right of z=-1.81.
Find the area under the standard normal curve that lies between the following -values. Round the answers to four decimal places.
(a) Find the area under the standard normal curve that lies between z=0.47 and z=1.53.
(b) Find the area under the standard normal curve that lies between z=-0.29 and z=-2.26.
Find the area under the standard normal curve that lies outside the interval between the following -values. Round the answers to four decimal places.
(a)Find the area under the standard normal curve that lies outside of the interval between z=1.36 and z=1.78.
(b)Find the area under the standard normal curve that lies outside of the interval between z=-0.42 and z=2.47.
Use Excel to find the -score for which the area to its left is 0.61. Round the answer to two decimal places.
The z-score for the given area is
Use Excel to find the -score for which the area to its right is 0.42. Round the answer to two decimal places.
The z-score for the given area is
Use Excel to find the z-scores that bound the middle 90% of the area under the standard normal curve. Enter the answers in ascending order. Round the answers to two decimal places.
The -scores for the given area are
