Ise the information and table that follows to complete problems 1-10. Roulette is a casino game in which a wheel with sections numbered 0-36 is spun in one direction, and a small ball is spun onto the wheel in the opposite direction. In order to win, players must guess which number on the wheel the ball will land on. A well-balanced roulette wheel has a mean of 18. The following table shows the results of 5 sample sets from 5 different roulette wheels labeled A-E, obtained by spinning the ball 12 times on each roulette wheel. Wheel Spin results A 1 35 3 27 14 11 16 29 0. 19 18 35 В 17 28 4. 29 19 25 10 26 27 23 28 25 4 30 9. 16 0. 25 34 31 14 18 32 D 32 20 10 17 35 17 18 26 3 18
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.
![Scaffolded Practice: Evaluating Treatments
Use the information and table that follows to complete problems 1-10.
Roulette is a casino game in which a wheel with sections numbered 0-36 is spun in
one direction, and a small ball is spun onto the wheel in the opposite direction. In
order to win, players must guess which number on the wheel the ball will land on. A
well-balanced roulette wheel has a mean of 18. The following table shows the results
of 5 sample sets from 5 different roulette wheels labeled A-E, obtained by spinning
the ball 12 times on each roulette wheel.
Wheel
Spin results
1
35
3
27
14
11
16
29
19
18
35
B
17
28
4
29
19
25
10
26
27
23
28
25
C
4
30
9.
16
25
34
31
14
18
32
D
32
20
2
10
17
35
7
17
18
26
3
18
24
23
2
28
11
32
24
16
6.
36
23
15
1. What is the mean of the 60 spin results? Round your answer to the nearest hundredth.
2. What is the mean of each sample (A, B, C, D, E)? Round your answers to the nearest hundredth.
3. What is the standard deviation of the mean of each sample? Round your answers to the nearest
hundredth.
4. What is the t-value for each sample? Note that the sample size, n, is 12 for all sets, and u, = 18.
Round your answers to the nearest thousandth.
п,
%3D
5. How many degrees of freedom are there for this t-test?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6cf97c84-841f-4c92-acc3-3dd32983a74f%2Fe6ed6a85-99c9-4fb1-b394-c7e44ff56f9c%2Fsolw37v_processed.jpeg&w=3840&q=75)
![2. What is the mean of each sample (A, B, C, D, E)? Round your answers to the nearest hundredth.
3. What is the standard deviation of the mean of each sample? Round your answers to the nearest
hundredth.
4. What is the t-value for each sample? Note that the sample size, n, is 12 for all
Round your answers to the nearest thousandth.
sets, and
Ho=
= 18.
5. How many degrees of freedom are there for this t-test?
continue](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6cf97c84-841f-4c92-acc3-3dd32983a74f%2Fe6ed6a85-99c9-4fb1-b394-c7e44ff56f9c%2F3zzadk_processed.jpeg&w=3840&q=75)
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