Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d) below. Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Z is between - 1.55 and 1.89? The probability that Z is between 1.55 and 1.89 is 0.9101. (Round to four decimal places as needed.) b. What is the probability that Z is less than 1.55 or greater than 1.89? The probability that Z is less than 1.55 or greater than 1.89 is 0.0900. (Round to four decimal places as needed.) c. What is the value of Z if only 4.5% of all possible Z values are larger? The value of Z if only 4.5% of all possible Z values are larger is 1.70. (Round to two decimal places as needed.) d. Between what two values of Z (symmetrically distributed around the mean) will 86.64% of all possible Z values be contained? The two values of Z for which 86.64% of all possible Z values are contained between are (Use ascending order. Round to two decimal places as needed.) and

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d) below.
Click here to view page 1 of the cumulative standardized normal distribution table.
Click here to view page 2 of the cumulative standardized normal distribution table.
a. What is the probability that Z is between 1.55 and 1.89?
The probability that Z is between - 1.55 and 1.89 is 0.9101.
(Round to four decimal places as needed.)
b. What is the probability that Z is less than 1.55 or greater than 1.89?
The probability that Z is less than 1.55 or greater than 1.89 is 0.0900.
(Round to four decimal places as needed.)
c. What is the value of Z if only 4.5% of all possible Z values are larger?
The value of Z if only 4.5% of all possible Z values are larger is 1.70.
(Round to two decimal places as needed.)
d. Between what two values of Z (symmetrically distributed around the mean) will 86.64% of all possible Z values be contained?
The two values of Z for which 86.64% of all possible Z values are contained between are
(Use ascending order. Round to two decimal places as needed.)
and
Transcribed Image Text:Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d) below. Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Z is between 1.55 and 1.89? The probability that Z is between - 1.55 and 1.89 is 0.9101. (Round to four decimal places as needed.) b. What is the probability that Z is less than 1.55 or greater than 1.89? The probability that Z is less than 1.55 or greater than 1.89 is 0.0900. (Round to four decimal places as needed.) c. What is the value of Z if only 4.5% of all possible Z values are larger? The value of Z if only 4.5% of all possible Z values are larger is 1.70. (Round to two decimal places as needed.) d. Between what two values of Z (symmetrically distributed around the mean) will 86.64% of all possible Z values be contained? The two values of Z for which 86.64% of all possible Z values are contained between are (Use ascending order. Round to two decimal places as needed.) and
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