Answered: SUM ?? = 13 178 Q.2.5.1 Calculate the…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

Machine W produces Size 3 soccer balls which have a diameter that are normally distributed with a mean of μ cm and a standard deviation of 0.22 cm.

The diameter, d cm, of each ball in a random sample of 214 Size 3 soccer balls was measured. This gave

SUM ?? = 13 178

Q.2.5.1 Calculate the unbiased estimate of μ.

Q.2.5.2 Construct a 95% confidence interval for μ.

Q.2.5.3 Using your answers, do you agree with a claim than μ=61.6cm. Give a reason for your answer.

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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