Answered: During a period of one month, a random…

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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During a period of one month, a random sample of 27 approved life insurance policies is selected, and the total processing time, in days, is recorded as shown in the data table below.

Total processing time, in days
70	19	16	64	28	28	31	90	56	51	34	56	22	18
53	42	23	17	17	91	86	63	50	51	69	16	17

1. In the past, the mean processing time was 42 days. At the

0.01 level of significance, is there evidence that the mean processing time has changed from 42 days?

State the null and alternative hypotheses.

H0:

H1:

Determine the test statistic.

The test statistic is ____. (round to four decimal places as needed.)

Find the p-value

p-value= ____ (Round to four decimal places as needed.)

State the conclusion.

__A____ H0. There is __B___ evidence to conclude that the mean processing time has changed from 42 days.

A: Reject or do not reject

B: insufficient or sufficient

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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