Question 1

While out trick or treating, a group of friends compares the amount of candy they received. The mean number of candy pieces received is 52 with a standard deviation of 4. Find the z-score corresponding to 60 pieces of candy. Determine how many standard deviations above or below the mean this value lies.

1. 2 standard deviations above the mean
2. 2 standard deviations below the mean
3. 1.6 standard deviations above the mean
4. 1.6 standard deviations below the mean

Question 2

Find the z-score if the area under the standard normal distribution curve is 0.0031 from the left.

1. 3.02

2. -3.02

3. 2.74

4. -2.74

Question 3

A popular chocolate and peanut butter candy have a mean weight of 1.5 oz and a standard deviation of 0.239 oz. If an inspector picked up a random piece of candy and weighed it, what is the probability that the candy weighs more than 1.7 oz?

1. 0.7987
2. 0.2013
3. 0.4927
4. 0.1336

Question 4

Which formula should you use if you are trying to find a Z-score given a probability?

1.z=x-n/0 2.NORM.S.INV

3. NORM.INV

4. NORM.S.DIST

Question 5

What is the cumulative area to the left under the curve for a z-score of 1.7?

1. 0.8542
2. 0.1445
3. 0.9554
4. 0.0446

Question 7

A popular chocolate and peanut butter candy has a mean weight of 1.5 oz and a standard deviation of 0.239 oz. If an inspector picked up a random piece of candy and weighs it, what is the probability that the candy weighs between 1.2 and 1.4 oz?

1. 0.1972
2. 0.1047
3. 0.3378
4. 0.2331

Question 8

German Shepherd dogs have a mean height of 24 inches with a standard deviation of 3 inches. If a sample of 35 German Shepherd dogs are measured, what is the probability their mean height will be greater than 25 inches?

1. 0.6306
2. 0.9757
3. 0.0243
4. 0.3694

Question 9

Find the z-score if the area under the standard normal distribution curve is 0.7122 from the right.

1. 0.34
2. -0.34
3. 0.56
4. -0.56

Question 10

Which of the following is NOT true about a continuous random variable?

1. The probability distribution can be expressed as a graph.
2. The probability distribution can be expressed as a table.
3. The probability of a particular outcome is zero.
4. The number of outcomes possible is infinite.

Question 11

In Minnesota, the average temperature in October is 48.6F with a standard deviation of 3.2F. What is the z-score of the temperature on October 15th if it was 43F?

1. 1.8
2. -1.8
3. 2.1
4. -2.1

Question 12

A popular chocolate and peanut butter candy has a mean weight of 1.5 oz and a standard deviation of 0.239 oz. If an inspector picked up a random piece of candy and weighs it, what is the probability that the candy weighs less than 1.4 oz?

1. 0.3378
2. 0.4927
3. 0.6622
4. 0.1972