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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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.

a) Identify the point estimate:
b) Which distribution should you use for this problem?
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.
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.
a) Identify the point estimate:
b) Which distribution should you use for this problem?
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.

a) Identify the point estimate:
b) Which distribution should you use for this problem?
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.
f) What would happen if 20 children were surveyed instead of 14, and the confidence level remained the
same? Why?

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