Answered: Suppose that 14 children, who were…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(need answers to D, E, F) THANK YOU IN ADVANCE!

Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of 5.5 months with a sample standard deviation of three months. Assume that the underlying population distribution is normal.

d) Construct a 95% confidence interval for the population mean length of time using training wheels State the confidence interval, calculate the margin of error, and interpret the interval.

e) Explain why the confidence interval in part d is wider than in part c.

f) What would happen if 20 children were surveyed instead of 14, and the confidence level remained the same? Why?

1. Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long
they had to use training wheels. It was revealed that they used them an average of 5.5 months with a sample
standard deviation of three months. Assume that the underlying population distribution is normal.

c) Construct a 90% confidence interval for the population mean length of time using training wheels State the
confidence interval, calculate the margin of error, and interpret the interval.
d) Construct a 95% confidence interval for the population mean length of time using training wheels State the
confidence interval, calculate the margin of error, and interpret the interval.
e) Explain why the confidence interval in part d is wider than in part c.
) What would happen if 20 children were surveyed instead of 14, and the confidence level remained the
same? Why?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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