Two number cubes are rolled to determine how a token moves on a game board. The sides of each number cube are numbered 1, 2, 3,
4, 5 and 6.
There are two options describing how the token will be moved.
Option A: If the product is even, move forward 7 spaces. Otherwise, move backward 5.
Option B: If the product is even, move forward 5 spaces. Otherwise, move backward 4.
Use mathematical expectation to determine which option offers the greater likelihood of moving closer to the finish line on the game board.
Which statement best explains the better option?
The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 4. Option B offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 4. The mathematical expectation of Option B is 2.75. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 4. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 4. The mathematical expectation of Option B is 2.75. Option B offers a greater likelihood of advancing to the finish line.
There are two options describing how the token will be moved.
Option A: If the product is even, move forward 7 spaces. Otherwise, move backward 5.
Option B: If the product is even, move forward 5 spaces. Otherwise, move backward 4.
Use mathematical expectation to determine which option offers the greater likelihood of moving closer to the finish line on the game board.
Which statement best explains the better option?
The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 4. Option B offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 4. The mathematical expectation of Option B is 2.75. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 4. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 4. The mathematical expectation of Option B is 2.75. Option B offers a greater likelihood of advancing to the finish line.
1 answer:
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Answer:
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Step-by-step explanation:
The null hypothesis states that a population parameter (such as the mean, the standard deviation, and so on) is equal to a hypothesized value. We can write the null hypothesis in the form
In this context, the investigator's null hypothesis should be that the average total weight is no different than the reported value by the FAA. We can write it in this form .
The alternative hypothesis states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis. We can write the alternative hypothesis in one of three forms
The investigator wants to know if the average weight of passengers flying on small planes exceeds the FAA guideline of the average total weight of 185 pounds. He should use as his alternative hypothesis.