DG Company claims that the mean sales of its products in all of their branches is worth 25.4 Million a month, with a standard deviation of 4.3 Million. However in a survey conducted by Mr. Bradguldo from their 33 branches, the mean sales is 23.2 million a month. Does the survey serve as sufficient evidence to disprove the claim of the company? Use a two-tailed test with alpha = 5% Find the following: a. Identify the type of test statistic, critical value, absolute value of test statistic b. Identify the best null hypothesis option1: there is no significant difference between population and sample means option 2: there is no significant difference between the two sample means option 3: the claim of the company is not true option 4: the claim of mr. braguldo is not true c. identify which option is NOT applicable for the test option 1: there is a significant difference between the population and sample means(u not equal to x) option 2: the mean sales of all the company's branches is significantly higher than the mean sales of the 33 branches (u>x) option 3: the mean sales of all the company's branches is significantly different from the 33 selected branches option 4: the claim of the company is not true d. what is the correct decision for the problem (reject ho, do not reject ho, reject ha, do not reject ha) e. what is the correct conclusion option 1: the mean sales of the company's branches does not differ from the mean sales of the selected 33 branches option 2: the claim of the company is true option 3: the claim of the company is not true option 4: the claim of mr braguldo is true

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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DG Company claims that the mean sales of its products in all of their branches is worth 25.4 Million a month, with a standard deviation of 4.3 Million. However in a survey conducted by Mr. Bradguldo from their 33 branches, the mean sales is 23.2 million a month. Does the survey serve as sufficient evidence to disprove the claim of the company? Use a two-tailed test with alpha = 5%

Find the following:

a. Identify the type of test statistic, critical value, absolute value of test statistic

b. Identify the best null hypothesis

option1: there is no significant difference between population and sample means

option 2: there is no significant difference between the two sample means

option 3: the claim of the company is not true

option 4: the claim of mr. braguldo is not true

c. identify which option is NOT applicable for the test

option 1: there is a significant difference between the population and sample means(u not equal to x)

option 2: the mean sales of all the company's branches is significantly higher than the mean sales of the 33 branches (u>x)
option 3: the mean sales of all the company's branches is significantly different from the 33 selected branches

option 4: the claim of the company is not true

d. what is the correct decision for the problem (reject ho, do not reject ho, reject ha, do not reject ha)

e. what is the correct conclusion

option 1: the mean sales of the company's branches does not differ from the mean sales of the selected 33 branches

option 2: the claim of the company is true

option 3: the claim of the company is not true

option 4: the claim of mr braguldo is true

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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