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.

1. In the past, the mean processing time was 41 days. At the 0.05 level of significance, is there evidence that the mean processing time has changed from 41 days?

State the null and alternative hypotheses.

H0:

H1:

Determine the test statistic.

The test statistic is ___.

the t critical is t.α/2, n-1... if the t stat is less than t critical then reject ho

State the conclusion.

__A__ H0. There is __B__ evidence to conclude that the mean processing time has changed from 41 days.

A: Reject or do not reject

B: insufficient or sufficient

2. What assumption about the population distribution is needed in order to conduct the t test in (a)?

A. The population distribution is approximately normal.

B. The population distribution is approximately uniform.

C. The population distribution is skewed.

3. Do you think that the assumption needed in order to conduct the t test in (a) is valid?

A. Yes, because the normal probability plot is a straight line. The population distribution is approximately normal.

B. Yes, because the normal probability plot is a straight line. The population distribution is approximately uniform.

C. No, because the normal probability plot is a straight line. The population distribution is not approximately uniform.

D. No, because the normal probability plot is not a straight line. The population distribution is not approximately norm

The image displays a table titled "Total processing time, in days" with two rows of numbers. The numbers indicate various processing times measured in days.

**First Row:**
70, 19, 16, 64, 28, 28, 31, 90, 56, 52, 28, 56, 22, 18

**Second Row:**
42, 57, 26, 17, 17, 91, 92, 63, 50, 51, 69, 16, 17

Below the table, there are two buttons labeled "Print" and "Done."

This data could be used to analyze the variability and average of processing times, which can inform process improvements and efficiency enhancements in various contexts.

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