Suppose that the scores on a statewide standardized test are normally distributed with a mean of 61 and a standard deviation of 2. According to the Empirical Rule... (a) 99.7 x 95 % of test scores are between 57 and 65. (b) 2.5 x 0.15 % of test scores are above 67.

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68% of
statistics
Mean
1 st.
dev
below
1 st.
dev
above
2 st. dev
below
95% of
statistics
Mean
2 st dev
above
(a) 99.7 X 95 % of test scores are between 57 and 65.
(b) 2.5 x 0.15% of test scores are above 67.
(c) 2.5 O % of test scores are below 57.
3 st. dev
below
99.7% of
statistics
Suppose that the scores on a statewide standardized test are normally distributed with a mean of
61 and a standard deviation of 2. According to the Empirical Rule...
Mean
3 st dev
above
(d) According to the 2 Standard Deviations Rule, data values that are more than 2 standard
deviations away from the mean of the distribution are considered to be "unusually high" or
"unusually low". According to this rule, it would be unusual for a test score to be less than 57
Transcribed Image Text:68% of statistics Mean 1 st. dev below 1 st. dev above 2 st. dev below 95% of statistics Mean 2 st dev above (a) 99.7 X 95 % of test scores are between 57 and 65. (b) 2.5 x 0.15% of test scores are above 67. (c) 2.5 O % of test scores are below 57. 3 st. dev below 99.7% of statistics Suppose that the scores on a statewide standardized test are normally distributed with a mean of 61 and a standard deviation of 2. According to the Empirical Rule... Mean 3 st dev above (d) According to the 2 Standard Deviations Rule, data values that are more than 2 standard deviations away from the mean of the distribution are considered to be "unusually high" or "unusually low". According to this rule, it would be unusual for a test score to be less than 57
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