| What Does It Mean? | Z Marks The Spot | Are You Ready for Area? | The Real World | Would You Care For A Sample? |
| 10 | 10 | 10 | 10 | 10 |
| 20 | 20 | 20 | 20 | 20 |
| 30 | 30 | 30 | 30 | 30 |
| 40 | 40 | 40 | 40 | 40 |
| 50 | 50 | 50 | 50 | 50 |
| Final Question | ||||
If the points of inflection are at 95 and 109, what is the mean of the normal distribution?
If the points of inflection are at 95 and 109, what is the mean of the normal distribution?
102
If the points of inflection are at 57 and 73, what is the standard deviation of the normal distribution?
If the points of inflection are at 57 and 73, what is the standard deviation of the normal distribution?
8
True or False: The mean of a sampling distribution is always greater than the mean of the population.
True or False: The mean of a sampling distribution is always greater than the mean of the population.
False! The mean of a sampling distribution is equal to the population mean.
If the standard deviation of a normal distribution is 7 and the mean is 25, where will the points of inflection be located?
If the standard deviation of a normal distribution is 7 and the mean is 25, where will the points of inflection be located?
At x=18 and x=32
IQ scores are normally distributed with a mean of 97 and a standard deviation of 11. An individual's IQ score is found to be 110. Find the z-score corresponding to this value.
IQ scores are normally distributed with a mean of 97 and a standard deviation of 11. An individual's IQ score is found to be 110. Find the z-score corresponding to this value.
z=1.18
If the population mean is 30 and the population standard deviation is 7.5, change 42 into a z-score.
If the population mean is 30 and the population standard deviation is 7.5, change 42 into a z-score.
1.6
If the z-score for x=28 is -.5 and the population standard deviation is 8, what is the population mean?
If the z-score for x=28 is -.5 and the population standard deviation is 8, what is the population mean?
32
Find the z-score that is less than the mean for which 20% of the area lies to the left.
Find the z-score that is less than the mean for which 20% of the area lies to the left.
z=-.842
Find the z-score that is greater than the mean for which 25% of the data lies to the right.
Find the z-score that is greater than the mean for which 25% of the data lies to the right.
z=.674
Find the z-scores for which 96% of the distribution's area lies between -z and z.
Find the z-scores for which 96% of the distribution's area lies between -z and z.
-2.05 and 2.05
Find the area under the standard normal curve to the left of z=-1.23
Find the area under the standard normal curve to the left of z=-1.23
.109
Find the area under the standard normal curve to the right of z=1.75.
Find the area under the standard normal curve to the right of z=1.75.
.04
Find the area under the standard normal curve between z=-1.2 and z=1.2.
Find the area under the standard normal curve between z=-1.2 and z=1.2.
.77
Find the area under the standard normal curve between z=-2 and z=1.
Find the area under the standard normal curve between z=-2 and z=1.
.819
Find the sum of the areas under the standard normal curve to the left of z=-1 and to the right of z=1.5
Find the sum of the areas under the standard normal curve to the left of z=-1 and to the right of z=1.5
.225
Suppose the prices of a certain guitar are normally distributed with a mean of $159. What percentage of buyers would pay less than $150 if the standard deviation is $15?
Suppose the prices of a certain guitar are normally distributed with a mean of $159. What percentage of buyers would pay less than $150 if the standard deviation is $15?
About 27.4%
The length of time people wait to ride a roller coaster is normally distributed with a mean time of 20 minutes and a SD of 6 minutes. Find the probability that you will wait more than 30 minutes for the ride.
The length of time people wait to ride a roller coaster is normally distributed with a mean time of 20 minutes and a SD of 6 minutes. Find the probability that you will wait more than 30 minutes for the ride.
The is a 4.8% chance that you wait more than 30 minutes.
Use the standard normal distribution to find P(z<-1.5 or z>2).
Use the standard normal distribution to find P(z<-1.5 or z>2).
.09 or 9%
The amount of coffee a machine dispenses is normally distributed with a mean of 11.8 oz and a standard deviation of .25 oz. When the machine dispenses more than the 12.5 oz a cup can hold it must be refilled. What is the probability that a cup is refilled?
The amount of coffee a machine dispenses is normally distributed with a mean of 11.8 oz and a standard deviation of .25 oz. When the machine dispenses more than the 12.5 oz a cup can hold it must be refilled. What is the probability that a cup is refilled?
.002 or .2% of the time it will need to be refilled.
The amount of corn chips dispensed into a 48-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 48.5 ounces and a standard deviation of 0.2 ounce. What chip amount represents the 67th percentile for the bag weight distribution?
The amount of corn chips dispensed into a 48-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 48.5 ounces and a standard deviation of 0.2 ounce. What chip amount represents the 67th percentile for the bag weight distribution?
48.59 ounces
The mean of a sampling distribution is equal to what value?
The mean of a sampling distribution is equal to what value?
The Population Mean
What happens to a sampling distribution as the sample size increases?
What happens to a sampling distribution as the sample size increases?
The Standard Deviation decreases
How would you describe the shape of a sampling distribution?
How would you describe the shape of a sampling distribution?
Normal or Bell - Shaped and Symmetric
The number of cars that go through the drive thru at Wendy's in a day is normally distributed with a mean of 120 and a SD of 30. A random sample of 50 days is taken. What is the probability that the mean number of cars going through the drive thru in those days is less than 110?
The number of cars that go through the drive thru at Wendy's in a day is normally distributed with a mean of 120 and a SD of 30. A random sample of 50 days is taken. What is the probability that the mean number of cars going through the drive thru in those days is less than 110?
.009 or .9%
The average score for bowlers in the 'Fun League' is 110 with a standard deviation of 15. Suppose 45 bowlers played today. Find the probability that the mean score of the 45 bowlers is more than 114.
The average score for bowlers in the 'Fun League' is 110 with a standard deviation of 15. Suppose 45 bowlers played today. Find the probability that the mean score of the 45 bowlers is more than 114.
.037 or 3.7%
What two z-scores separate the middle 95% of the data for the normal distribution?
What two z-scores separate the middle 95% of the data for the normal distribution?
About z=-2 and z=2 or About z=-1.96 and z=1.96
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