Mathematics

Question 1

1. A standard normal distribution has a mean of _____ and standard deviation of _____.

zero, zero
zero, one
one, one
one, zero

1 points

Question 2

1. The area under the normal curve between z = 0 and z = 1 is ________________ the area under the normal curve between z = 1 and z = 2.

Less than
Greater than
Equal to
A, B, or C above dependent on the value of the mean
A, B, or C above dependent on the value of the standard deviation

1 points

Question 3

1. The MPG (Miles per Gallon) for a mid-size car is normally distributed with a mean of 32 and a standard deviation of .8. What is the probability that the MPG for a selected mid-size car would be: Less than 33.2?

43.32%
6.68%
93.32%
86.64%
13.36%

1 points

Question 4

1. The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. If we select one box of cereal at random from this population, what is the probability that it will weigh less than 900 grams?

4772
.9772
.9544
.0228
.0456

1 points

Question 5

1. Which of the following statements is not a property of the normal probability distribution?

The normal distribution is symmetric.
95.44% of all possible observed values of the random variable x are within plus or minus three standard deviations of the population mean.
The mean, median, and mode are equal.
The area under the normal curve to the right of the mean is equal to the area under the normal curve to the left of the mean.
All of the above answers are properties of the normal distribution.

1 points

Question 6

1. For a normal population with a mean of 10 and a variance 4, the P(X ≥ 10) is ___.

1.0
0.5
0.75
0.25

1 points

Question 7

1. The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours. What is the probability that the drone will fly: Less than 4.66 hours?

-.0062
.5062
.0062
.9938

1 points

Question 8

1. What is the probability that a standard normal random variable will be between .3 and 3.2?

.6179
.3808
.6192
.9987

1 points

Question 9

1. An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce. What is the probability that a randomly selected apple will contain between 2.00 and 3.00 ounces?

.0475
.4525
.9525
.9554

1 points

Question 10

1. The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches. What is the probability that a sheet selected at random from the population is between 30.25 and 30.65 inches long?

.9987
.1574
.1587
.8413
Question 1

1. (Percentile) An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce. 77% of the apples will contain at least how many ounces of juice?

2.12
2.38
2.36
2.14

1 points

Question 2

1. (Percentile) An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce. Between what two values (in ounces) symmetrically distributed around the population mean will 80% of the apples fall?

[2.13 2.37]
[2.10 2.40]
[2.06 2.44]
[1.95 2.55]

1 points

Question 3

1. (Percentile) Find z when the area between 0 and z is .4750

-1.96
1.96
0.68
-0.68

1 points

Question 4

1. (Percentile) Find z when the area to the right of z is .1314

1.12
0.55
-0.55
-1.12

1 points

Question 5

1. (Percentile) Find z when the area to the left of z is .6700

0.75
0.44
-0.44
-0.75

1 points

Question 6

1. (Percentile) Find z when the area between z and – z is .9030

1.50
1.30
0.12
1.66

1 points

Question 7

1. (Percentile) The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and that the times are normally distributed. For the 10% who spend the most time reading the paper, how much time do they spend?

11.72
28.52
86.28
69.48

1 points

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