Question 20 The table below contains summary statistics about the 2015 annual sales growth (in percentage points, %) for three random and independent samples of 10 electronic stores with high advertising expenditure, 9 electronic stores with medium advertising expenditure, and 9 electronic stores with low advertising expenditure. Suppose that the sales growth of electronic stores with high, medium and low advertising spending are normally distributed. Perform a one-way analysis of variance (ANOVA) and construct the ANOVA table. Using the ANOVA table, you have constructed, the SSTr is , SSE is and SST is . The sales manager believes that the mean sales growth of electronic stores with high, medium and low advertising expenditures are the same. Formulating an appropriate hypothesis to test this belief, the value of the test statistic that must be used to test the formulated hypothesis, rounded off to 3 decimal places is . Testing at the 1% level, the critical value of this hypothesis, rounded off to 3 decimal places is . Use a YES for reject H0 and NO for do not reject H0. In the space provided and writing your answer in capital letters, do you reject or do not reject the null hypothesis H0?
Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.
Question 20
The table below contains summary statistics about the 2015 annual sales growth (in percentage points, %) for three random and independent samples of 10 electronic stores with high advertising expenditure, 9 electronic stores with medium advertising expenditure, and 9 electronic stores with low advertising expenditure. Suppose that the sales growth of electronic stores with high, medium and low advertising spending are
Perform a one-way analysis of variance (ANOVA) and construct the ANOVA table. Using the ANOVA table, you have constructed, the SSTr is , SSE is and SST is . The sales manager believes that the mean sales growth of electronic stores with high, medium and low advertising expenditures are the same. Formulating an appropriate hypothesis to test this belief, the value of the test statistic that must be used to test the formulated hypothesis, rounded off to 3 decimal places is . Testing at the 1% level, the critical value of this hypothesis, rounded off to 3 decimal places is . Use a YES for reject H0 and NO for do not reject H0. In the space provided and writing your answer in capital letters, do you reject or do not reject the null hypothesis H0?
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