A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of to . In a recent year, the national mean score for the writing section was , with a standard deviation of . Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year.
1. According to Chebyshev's theorem, at least 36% of the scores likes between ___ and ___ (Round your answer to 1 decimal place.)
2. According to Chebyshev's theorem, at least ___ of the scores lie between 29.4 and 72.2.
a. 56%
b. 75%
c. 84%
d. 89%
3. Suppose that the distribution is bellshaped. According to the empirical rule, approximately ___ of the scores lie between 29.4 and 72.2.
a. 68%
b. 75%
c. 95%
d. 99.7%
4. Suppose that the distribution is bellshaped. According to the empirical rule, approximately 99.7% of the scores lie between ___ and ___.
A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of to . In a recent year, the national mean score for the writing section was , with a standard deviation of . Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year.
1. According to Chebyshev's theorem, at least 36% of the scores likes between ___ and ___ (Round your answer to 1 decimal place.)
2. According to Chebyshev's theorem, at least ___ of the scores lie between 29.4 and 72.2.
a. 56%
b. 75%
c. 84%
d. 89%
3. Suppose that the distribution is bellshaped. According to the empirical rule, approximately ___ of the scores lie between 29.4 and 72.2.
a. 68%
b. 75%
c. 95%
d. 99.7%
4. Suppose that the distribution is bellshaped. According to the empirical rule, approximately 99.7% of the scores lie between ___ and ___.
A distribution has a mean of 260 and a standard deviation of 18. Using Chebyshev'sTheorem, what is the percentage of data values that will fall in the range of 215 to 305?
How does the Empirical Rule work and how does it relate to the bell curve as illustrated in Figure 3.14 (a)? Then, explain Chebyshev'sTheorem and how it is different from the Empirical Rule. Give a specific example of a population with which the Empirical Rule might be most effective and one with which Chebyshev'sTheorem might
In the following example, why would Chebyshev'sTheorem be used instead of the Empirical Rule?
The Empirical Rule is a rule in statistics that says for a normal distribution, most of all of the data will land between three standardized yet different deviations from their mean. What the empirical rule does is it displays that
A scientific calculator operates on the average 5.3 hour before needing a recharge. According to Chebyshev'stheorem, if the operating times have a standard deviation of 0.6 hour.
A. Between what 2 values will at least 75% of the operating times fall?
B. At least what percentage of the operating times will fall in the interval
For a particular sample of 77 scores on a psychology exam, the following results were obtained.
First quartile = 44 Third quartile = 71 Standard deviation = 6 Range = 45
Mean = 64 Median = 57 Mode = 92 Midrange = 60
I. What score was earned by more students than any other score? Why?
II. What was the highest score
BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries, hoping to obtain its share of a market boosted by the popularity of portable CD and MP3 players. To investigate its new line of Ultra batteries, BIG randomly selects 1000 Ultra batteries and finds that they have a mean
1. You are given the following frequency distribution for the number of errors that students made in a test
Errors Frequency
02 13
35 17
68 0
911 16
1214 3
Find the mean, variance, and standard deviation.
2. You are given the following data.
x y
2 11
3 19
4 4
5 19
5 2
7 14
7 6
Find:

1. I. Use Chebyshev'stheorem to find what percent of the values will fall between 162 and 292 for a data set with a mean of 227 and standard deviation of 13.
II. Use the Empirical Rule to find what two values 99.7% of the data will fall between for a data set with a mean of 246 and standard deviation of 16.
2. Nine coll
1. Given the following frequency distribution, find the mean, variance, and standard deviation.
2. Please show all of your work when answering the following:
Use Chebyshev'stheorem to find what percent of the values will fall between 222 and 286 for a data set with a mean of 254 and standard deviation of 16.
Use the Em