Explanation Approach: Assume a normal distribution has a mean of μ and a standard deviation of σ . We use the equation z = x − μ σ to convert a value x in the nonstandard distribution to a z -score. The normal curve is symmetric with respect to its mean. Figure 1 From Figure 1, observe that the total area under the curve is 1. Given Information: The mean of the distribution is 10 and the standard deviation is 2.2. Calculation: We need to find the value of c such that P ( − ∞ < z < c ) = 0.10. using standard normal distribution table. The standard normal curve for the given problem is shown below. Figure 2 10% of the area lies to the left of the mean and hence the required z -score is represented as − c . From Figure 2, the area between z = 0 and z = − c is 0.4000. That is P ( − c < z < 0 ) = 0.40. By symmetric property of normal curve, we have P ( 0 < z < c ) = 0.40. To find the z -score, identify the value 0.40 in the standard normal distribution table. The data from the standard normal distribution table required for this problem is given below: z value 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07

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ISBN: 9780134462356

Author: Pirnot

Publisher: PEARSON

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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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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.

Chapter 14.4, Problem 82E

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The maximum number of anxiety impacting genes that a person is defined to be the lowest 10% of the population.

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Chapter 14.4, Problem 81E

Chapter 14.4, Problem 83E

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The maximum number of anxiety impacting genes that a person is defined to be the lowest 10% of the population.