Suppose it is known that the mean and standard deviation of the scores on a statistics final are 71.36 and 8.57, respectively. Calculate an interval that is symmetric around the mean such that it contains approximately 95% of scores. Assume that the scores have a normal distribution. Question 4 options: 1) (71.36, 8.57) 2) (54.22, 88.5) 3) (88.5, 54.22) 4) (62.79, 79.93) 5) (79.93, 62.79)

Suppose it is known that the mean and standard deviation of the scores on a statistics final are 71.36 and 8.57, respectively. Calculate an interval that is symmetric around the mean such that it contains approximately 95% of scores. Assume that the scores have a normal distribution. Question 4 options: 1) (71.36, 8.57) 2) (54.22, 88.5) 3) (88.5, 54.22) 4) (62.79, 79.93) 5) (79.93, 62.79)

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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Question

Question 4 options:

1)	(71.36, 8.57)

2)	(54.22, 88.5)

3)	(88.5, 54.22)

4)	(62.79, 79.93)

5)	(79.93, 62.79)

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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