Answered: Data set to be used with question #1:…

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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Data set to be used with question #1:
6.42, 6.76, 6.56, 4.8, 8.43, 7.49, 8.05, 5.05, 5.77, 3.91, 6.77, 6.44, 6.17, 7.67, 7.34, 6.85, 5.13, 5.73
The distribution of this data set is taken from a normal distribution with some unknown mean μ and known
variance σ2=1.42.
1. Compute the point estimate (i.e. ^μ=1 n∑k=1 nxi) of the mean μ from the data sample and the
probability of the random variable is below 90% of the estimate:
Pr ( ̄X ≤0.9 ^μ)

please show how to solve it. no excel please.

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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