Answered: a. What is the sample mean years to…

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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Question

A sample of years to maturity and yield for 40 corporate bonds taken from Barron’s is given below.

Years to Maturity	Yield		Years to Maturity	Yield
28.75		4.477		17.75	5.889
1.50		5.809		9.75	4.770
4.25		5.830		6.50	3.110
5.25		7.685		17.25	2.387
5.50		1.914		25.25	4.252
14.25		7.955		26.00	6.058
5.25		8.075		8.50	6.703
27.75		6.139		22.50	4.136
16.25		6.799		19.00	5.057
15.50		2.760		11.75	4.704
21.00		2.908		18.50	6.112
10.25		3.252		12.50	7.809
2.25		2.111		3.50	2.631
7.75		6.016		13.50	4.667
24.50		4.418		2.50	4.232
26.50		4.948		7.50	6.212
21.75		1.399		23.00	5.075
11.00		7.588		28.25	3.824
19.75		3.199		15.00	8.109
24.00		1.229		29.50	5.139

a. What is the sample mean years to maturity for corporate bonds and what is the sample standard deviation?

Mean	years (to 2 decimals)
Standard deviation	years (to 2 decimals)

b. Develop a 95% confidence interval for the population mean years to maturity. Round the answer to two decimal places.

, years

c. What is the sample mean yield on corporate bonds and what is the sample standard deviation?

Mean	% (to 4 decimals)
Standard deviation	% (to 4 decimals)

d. Develop a 95% confidence interval for the population mean yield on corporate bonds. Round the answer to four decimal places.

, percent

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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