Answer the question. Show all the steps, not only the final answer. For some problem, if possible, sketch a little diagram to clearly see the area under the normal curve. 4. A tax collector wanted to see if there is a difference in the amount of property taxes people fail to pay between two cities in the USA, which is a criminal offense. The data are given in millions of dollars in the table below. At 0.05 alpha level, is there enough evidence to support the tax collector’s claim that the mean values of the tax fraud are different between the two cities? Amount of Fiscal Fraud in two cities City A City B 40 82 25 70 44 62 31 20 22 31 23 50 11 68 19 16 14 45 23 52 19 81 25 44 28 15 30 39 27 42 22 55 The calculations for the t-statistic have been performed and are provided in the output tables below. Use the information on the table to respond to the following questions: a. Formally, set the hypotheses. b. Determine which one is the independent and the dependent variable. c. Determine the value of the test statistic under the assumption of equal variances. d. Use the p-value method to decide whether or not to reject the null hypothesis, and specify why. e. Provide an interpretation of your decision in (d) above in terms of which city commits more fiscal fraud. f. What is the value of the standard error of the difference?

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

Answer the question. Show all the steps, not only the final answer. For some problem, if possible, sketch a little diagram to clearly see the area under the normal curve.

4. A tax collector wanted to see if there is a difference in the amount of property taxes people fail to pay between two cities in the USA, which is a criminal offense. The data are given in millions of dollars in the table below. At 0.05 alpha level, is there enough evidence to support the tax collector’s claim that the mean values of the tax fraud are different between the two cities?

Amount of Fiscal Fraud in two cities
City A	City B
40	82
25	70
44	62
31	20
22	31
23	50
11	68
19	16
14	45
23	52
19	81
25	44
28	15
30	39
27	42
22	55

The calculations for the t-statistic have been performed and are provided in the output tables below. Use the information on the table to respond to the following questions:

a. Formally, set the hypotheses.

b. Determine which one is the independent and the dependent variable.

c. Determine the value of the test statistic under the assumption of equal variances.

d. Use the p-value method to decide whether or not to reject the null hypothesis, and specify why.

e. Provide an interpretation of your decision in (d) above in terms of which city commits more fiscal fraud.

f. What is the value of the standard error of the difference?

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