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Math 540 Quiz 2 Essay

1278 words - 6 pages

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Answer
True

False
.

2 points
Question 2

If two events are not mutually exclusive, then P(A or B) = P(A) + P(B)

Answer
True

False
.

2 points
Question 3

Seventy two percent of all observations fall within 1 standard deviation of the mean if the data is normally distributed.

Answer
True

False
.

2 points
Question 4

The equal likelihood criterion assigns a probability of 0.5 to each state of nature, regardless of how many states of nature there are.

Answer
True

False
.

2 points
Question 5

The Hurwicz criterion is a compromise between the maximax and maximin criteria.

Answer
True

False
.

2 points
Question 6

The Hurwicz criterion is a compromise between the minimax and minimin criteria.

Answer
True

False
.

2 points
Question 7

The maximin approach involves choosing the alternative with the highest or lowest payoff.

Answer
True

False
.

2 points
Question 8

The metropolitan airport commission is considering the establishment of limitations on noise pollution around a local airport. At the present time, the noise level per jet takeoff in one neighborhood near the airport is approximately normally distributed with a mean of 100 decibels and a standard deviation of 3 decibels. What is the probability that a randomly selected jet will generate a noise level of more than 105 decibels?
Answer 0.0228
0.0475
0.0485
0.0500
.

2 points
Question 9

The chi-square test is a statistical test to see if an observed data fit a _________.
Answer Normal probability distribution
continuous probability distribution
particular probability distribution
All of the above

.

2 points
Question 10

Assume that it takes a college student an average of 5 minutes to find a parking spot in the main parking lot. Assume also that this time is normally distributed with a standard deviation of 2 minutes. Find the probability that a randomly selected college student will take between 2 and 6 minutes to find a parking spot in the main parking lot.
Answer 0.1950
0.4772
0.4332
0.6247
.

2 points
Question 11

A group of friends are planning a recreational outing and have constructed the following payoff table to help them decide which activity to engage in. Assume that the payoffs represent their level of enjoyment for each activity under the various weather conditions.

Weather
Cold Warm Rainy
S1 S2 S3
Bike: A1 10 8 6
Hike: A2 14 15 2
Fish: A3 7 8 9

What is the conservative decision for this situation?
Answer A1
A2
A3
Any of the above
.

2 points
Question 12

A group of friends are...

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