5. Consider an infinite population with a normal shape and a mean of 300 and standard deviation of 30.

a. Compute the z-scores for the following values of X and locate each on the graph.

X Z-score
200
360
220
270
300
b. According to the Empirical rule what percent of the data should be between 270 and 330? Between 240 and 360?
c. According to Chebyshev what percent should be between 240 and 360
d. Why is the z-score of the mean zero?
e. A student scores 33 on and English test that has a mean of 28 and a standard deviation of 5. He scores a 27 on a math test that has a mean of 25 and a standard deviation of 2. Which score is higher and why?

3.
Consider an infinite population with a normal shape and a mean of 80 and standard deviation of 16.
a. Compute the z-scores for the following values of X and locate each on the graph.

X Z-score
100
56
80
72
85

B According to the Empirical rule what percent of the data should be between 64 and 96? Between 48 and 112?
C According to Chebyshev what percent should be between 56 and 104
D Why is the z-score of the mean zero?
E A student scores 36 on and English test that has a mean of 28 and a standard deviation of 5. He scores a 29 on a math test that has a mean of 25 and a standard deviation of 2. Which score is higher and why?

... Group 3. 3. Consider an infinite population with a normal shape and ... Between 48 and 112? c. According to Chebyshev what percent should be between 56 and 104. ...

... Hence we can use Chebyshev's Theorem to calculate the ... 2) In order to use the normal distribution table ... Answer 1. The population standard deviation should be ...

... When using the Chebyshev's theorem to obtain the bounds ... percent of the values in a population, the interval ... for the same percentage if normal distribution is ...

... proportion (100%) is higher than the Chebyshev's rule suggested. ... b. Populations are normally distributed ... the male and female data sets are approximately normal. ...

... variance, standard deviation, normal distribution, quartile, percentile, Chebyshev's Theorem, frequency ... are likely to reflect the population from which ...

...Chebyshev's theorem gives an upper bound for the proportion ... 4. In a standard normal distribution, what is the ... x-bar = Variance, S^2 (Population) = 9.84 Variance ...

... What percent of our population can we expect to lie within ... amount of data points than the non-normal case ... The Chebyshev's inequality does not work for 1 std dev ...

... it is equal to, on average, the population variance. ... a) Chebyshev's Theorem states that for any positive k ... deviations of the mean (for the normal distribution). ...