Brand A 18 24 16 16 24 14 16 19 17 14 17 17 23 21 20 21 12 16 22 18 Brand B 22 Brand A 22 16 20 24 14 20 Brand B 25 13 21 24 19 23 25 19 22 16 14 17 17 14 19 18 25 18 18 15 19 25 12 22 19 20 19 17 23 14 16 21 17 14 25 21 22 14 23 23 21 23 21 12 23 22 24 16 21 21 17 18
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
A consumer advocate researches the length of life between two brands of refrigerators, Brand A and Brand B. He collects data (measured in years) on the longevity of 40 refrigerators for Brand A and repeats the sampling for Brand B. These data are measured in years. (Screenshotted table)
b-1. Calculate the value of the test statistic. Assume that σA2 = 4.8 and σB2 = 6.4. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Test Statistic -
b-2. Find the p-value.
(Which one is correct below)
- 0.025 ≤ p-value < 0.05
- 0.01 ≤ p-value < 0.025
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p-value < 0.01
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p-value ≥ 0.10
- 0.05 ≤ p-value < 0.10
c. At the 10% significance level, what is the conclusion?
(Which one is correct below)
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Do not reject H0, there is no evidence that the average life differs between the brands.
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Reject H0, there is no evidence that the average life differs between the brands.
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Do not reject H0, there is evidence that the average life differs between the brands.
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Reject H0, there is evidence that the average life differs between the brands
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