Find the complete factorization of the expression. 15xz + 21yz
2 answers:
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The Maximax decision is that Susan should build a very large gas station due to the largest value of row maximums.
<h3>What is a decision table?</h3>A decision table can be defined as a type of table that is used for the graphical representation of the actions to perform, especially based on given conditions and business level rules.
The decision table for Susan’s problem is shown below:
<u>Size Good market Fair market Poor market Row maximum</u>
Small 50,000 20,000 -10,000 50,000
Medium 80,000 30,000 -20,000 80,000
Large 100,000 30,000 -40,000 100,000
Very large 300,000 25,000 -160,000 300,000
Thus, the Maximax decision is for Susan to build a very large gas station due to the largest value of row maximums.
For the Maximin decision, we have:
<u>Size Good market Fair market Poor market Row minimum</u>
Small 50,000 20,000 -10,000 -10,000
Medium 80,000 30,000 -20,000 -20,000
Large 100,000 30,000 -40,000 -40,000
Very large 300,000 25,000 -160,000 -160,000
Therefore, the Maximin decision is that Susan should build a small gas station due to the largest value of row minimums.
For the equally likely decision, we would find the row average:
Row 1 = (50,000 + 20,000 - 10,000)/3 = 20,000.
Row 2 = (80,000 + 30,000 - 20,000)/3 = 30,000.
Row 3 = (100,000 + 30,000 - 40,000)/3 = 30,000.
Row 4 = (300,000 + 25,000 - 160,000)/3 = 55,000.
Hence, the equally likely decision is that Susan should build a very large gas station due to the largest value of row average.
Read more on decision making here: brainly.com/question/13171394
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<u>Complete Question:</u>
Even though independent gasoline stations have been having a difficult time, Susan has been thinking about starting her own independent gasoline station. Susan’s problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susan developed the following table:
a. Develop a decision table for this problem
b. What is the maximax decision?
c. What is the maximin decision?
d. What is the equally likely decision?
Answer:
The p-value of the test is 0.1515.
Step-by-step explanation:
The hypothesis for the test can be defined as follows:
<em>H</em>₀: The mean level of arsenic is 80 ppb, i.e. <em>μ</em> = 80.
<em>Hₐ</em>: The mean level of arsenic is greater than 80 ppb, i.e. <em>μ</em> > 80.
As the population standard deviation is not known we will use a t-test for single mean.
It is provided that the sample mean was, .
The adjusted sample provided is:
S = {57, 64, 70, 82, 84, 123}
Compute the sample standard deviation as follows:
Compute the test statistic value as follows:
Thus, the test statistic value is 1.148.
Compute the p-value of the test as follows:
*Use a t-table.
Thus, the p-value of the test is 0.1515.
Decision rule:
If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
p-value = 0.1515 > α = 0.05
The null hypothesis will not be rejected at 5% level of significance.
Thus, concluding that the mean level of arsenic in chicken from the suppliers is 80 ppb.