PART A A variable X has a mean of 73.5 and a standard deviation of 61.4. A random sample of size 30 is selected. Assuming X is normally distributed, what is the probability, to two decimal places, that the sample mean exceeds 100? Give your answer to two decimal places in the form x.xx PART B True or False: It was necessary to assume that the variable X is normally distributed in part (a) of this question. Answer by placing T or F in the space provided.

PART A A variable X has a mean of 73.5 and a standard deviation of 61.4. A random sample of size 30 is selected. Assuming X is normally distributed, what is the probability, to two decimal places, that the sample mean exceeds 100? Give your answer to two decimal places in the form x.xx PART B True or False: It was necessary to assume that the variable X is normally distributed in part (a) of this question. Answer by placing T or F in the space provided.

Name: PART AA variable X has a mean of 73.5 and a standard deviation of 61.4
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Description: PART AA variable X has a mean of 73.5 and a standard deviation of 61.4. A random sample of size 30 is selected. Assuming X is normally distributed, what is the probability, to two decimal places, that the sample mean exceeds 100? Give your answer to

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Topic Video

Question

PART A

A variable X has a mean of 73.5 and a standard deviation of 61.4. A random sample of size 30 is selected. Assuming X is normally distributed, what is the probability, to two decimal places, that the sample mean exceeds 100? Give your answer to two decimal places in the form x.xx

PART B

True or False:

It was necessary to assume that the variable X is normally distributed in part (a) of this question. Answer by placing T or F in the space provided.

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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