10- 10- 5- 5- 0- 0.5 5.5 10.5 15.5 20.5 25.5 30.5 35.5 40.5 45.5 5.5 10.5 15.5 20.5 25.5 30.5 35.5 40.5 45.5 0.5 Region A mean: $33.07 Region B mean: $22.93 Region A standard deviation: $10.22 Region B standard deviation: $7.14 The company wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only one of them! Answer the parts below to help the company with their approximations. (a) Identify the data set for which it is appropriate to use the Empirical Rule. It is appropriate to use the Empirical Rule for the (Choose one) ▼ data set. For the data set identified in part (a), use the Empirical Rule to make the following approximations. (b) The per ntage of rides costing between and $44.35 is approximately (Choose one) ▼ (c) Approximately 68% of the rides cost between $ and $.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![10-
10-
5-
5-
0-
0.5
5.5 10.5 15.5 20.5 25.5 30.5 35.5 40.5 45.5
0.5
5.5 10.5 15.5 20.5 25.5 30.5 35.5 40.5 45.5
Region A mean: $33.07
Region B mean: $22.93
Region A standard deviation: $10.22
Region B standard deviation: $7.14
The company wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on
only one of them!
Answer the parts below to help the company with their approximations.
(a) Identify the data set for which it is appropriate to use the Empirical Rule.
It is appropriate to use the Empirical Rule for the (Choose one) v data set.
For the data set identified in part (a), use the Empirical Rule to make the following approximations.
(b) The percentage of rides costing between $1.51 and $44.35 is approximately (Choose one) ▼
(c) Approximately 68% of the rides cost between $ and $.
App Store
3.
MacBook Air](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fedfa766f-b0db-4c6a-9cd1-cc9e50c223f5%2F691c4161-cce9-40e5-967e-6c53d1528aa7%2Fvylaqak_processed.jpeg&w=3840&q=75)
![A taxi company operates in two different regions, and it is analyzing the prices of rides in those regions. It has compiled the prices (in dollars) of 74 rides in
each of the two regions during the last week. The histograms below show the distributions of the two data sets. Each histogram shows price (in dollars) on the
horizontal axis and the number of taxi rides on the vertical axis. The means and standard deviations for the data sets are also given.
Region A
Region B
25-
25-
20+
20+
15+
15-
10-
10+
54
5+
0.5 5.5
10.5 15.5 20.5 25.5 30.5 35.5 40.5 45,5
0.5
5.5
10.5 15.5 20.5 25.5 30.5 35.5 40.5 45.5
Region A mean: $33.07
Region B mean: $22.93
Region A standard deviation: $10.22
Region B standard deviation: $7.14
The company wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on
only one of them!
Answer the parts below to help the company with their approximations.
(a) Identify the data set for which it is appropriate to use the Empirical Rule.
It is appropriate to use the Empirical Rule for the (Choose one) v data set.
For the data set identified in part (a), use the Empirical Rule to make the following approximations.
(b) The percentage of rides costing between $1.51 and $44.35 is approxima eiy (Choose one) ▼
Notes
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