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8/18/2019 5.3 Finding Values Using the Normal Distribution
1/24
Finding values
8/18/2019 5.3 Finding Values Using the Normal Distribution
2/24
To qualify for a police academy, candidatesmust score in the top 10% on a general
abilities test. The test has a mean of 200 anda standard deviation of 20. Find the lowestpossible score to qualify. ssume the testscores are normally distributed.
8/18/2019 5.3 Finding Values Using the Normal Distribution
3/24
To qualify for a police academy, candidatesmust score in the top 10% on a general
abilities test. The test has a mean of 200 anda standard deviation of 20. Find the lowestpossible score to qualify. ssume the testscores are normally distributed.
8/18/2019 5.3 Finding Values Using the Normal Distribution
4/24
To qualify for a police academy, candidates must
score in the top 10% on a general abilities test. The
test has a mean of 200 and a standard deviation of20. Find the lowest possible score to qualify.ssume the test scores are normally distributed.
The area from the chart, however, is between 200and !
8/18/2019 5.3 Finding Values Using the Normal Distribution
5/24
To qualify for a police academy, candidates must
score in the top 10% on a general abilities test. The
test has a mean of 200 and a standard deviation of20. Find the lowest possible score to qualify.ssume the test scores are normally distributed.
The area from the chart, however, is between 200and !
0."000
0.#000
8/18/2019 5.3 Finding Values Using the Normal Distribution
6/24
To qualify for a police academy, candidates must
score in the top 10% on a general abilities test. The
test has a mean of 200 and a standard deviation of20. Find the lowest possible score to qualify.ssume the test scores are normally distributed.
Find the nearest value in the chart to 0.#000
0."000
0.#000
8/18/2019 5.3 Finding Values Using the Normal Distribution
7/24
To qualify for a police academy, candidates must
score in the top 10% on a general abilities test. The
test has a mean of 200 and a standard deviation of20. Find the lowest possible score to qualify.ssume the test scores are normally distributed.
The nearest value in the chart to 0.#000 is 0.$&
0."000
0.#000
8/18/2019 5.3 Finding Values Using the Normal Distribution
8/24
To qualify for a police academy, candidates must
score in the top 10% on a general abilities test. The
test has a mean of 200 and a standard deviation of20. Find the lowest possible score to qualify.ssume the test scores are normally distributed.
'se this value and the chart to (nd thecorresponding )*score
The nearest value in the chart to 0.#000 is 0.$&
8/18/2019 5.3 Finding Values Using the Normal Distribution
9/24
To qualify for a police academy, candidates must
score in the top 10% on a general abilities test. The
test has a mean of 200 and a standard deviation of20. Find the lowest possible score to qualify.ssume the test scores are normally distributed.
The nearest value in the chart to 0.#000 is 0.$&
8/18/2019 5.3 Finding Values Using the Normal Distribution
10/24
To qualify for a police academy, candidatesmust score in the top 10% on a general
abilities test. The test has a mean of 200 anda standard deviation of 20. Find the lowestpossible score to qualify. ssume the testscores are normally distributed.
The )*score that corresponds is 1.2+. 'se thisto (nd the ! value.
8/18/2019 5.3 Finding Values Using the Normal Distribution
11/24
To qualify for a police academy, candidatesmust score in the top 10% on a general
abilities test. The test has a mean of 200 anda standard deviation of 20. Find the lowestpossible score to qualify. ssume the testscores are normally distributed.
The )*score that corresponds is 1.2+. 'se thisto (nd the ! value.
8/18/2019 5.3 Finding Values Using the Normal Distribution
12/24
To qualify for a police academy, candidatesmust score in the top 10% on a general
abilities test. The test has a mean of 200 anda standard deviation of 20. Find the lowestpossible score to qualify. ssume the testscores are normally distributed.
The )*score that corresponds is 1.2+. 'se thisto (nd the ! value.
score of 22 is the lowest possible score toqualify for the police academy.
8/18/2019 5.3 Finding Values Using the Normal Distribution
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8/18/2019 5.3 Finding Values Using the Normal Distribution
14/24
For a medical study, a researcher wishes toselect people in the middle 0% of the
population based on blood pressure. -f themean systolic blood pressure is 120 and thestandard deviation is +, (nd the upper andlower readings that would qualify people to
participate in the study.
8/18/2019 5.3 Finding Values Using the Normal Distribution
15/24
For a medical study, a researcher wishes toselect people in the middle 0% of the
population based on blood pressure. -f themean systolic blood pressure is 120 and thestandard deviation is +, (nd the upper andlower readings that would qualify people to
participate in the study.
8/18/2019 5.3 Finding Values Using the Normal Distribution
16/24
For a medical study, a researcher wishes toselect people in the middle 0% of the
population based on blood pressure. -f themean systolic blood pressure is 120 and thestandard deviation is +, (nd the upper andlower readings that would qualify people to
participate in the study.
oo/ up 0.$000 in the chart.
8/18/2019 5.3 Finding Values Using the Normal Distribution
17/24
For a medical study, a researcher wishes toselect people in the middle 0% of the
population based on blood pressure. -f themean systolic blood pressure is 120 and thestandard deviation is +, (nd the upper andlower readings that would qualify people to
participate in the study.
oo/ up 0.$000 in the chart.
orresponding )*score is 0.+#
8/18/2019 5.3 Finding Values Using the Normal Distribution
18/24
For a medical study, a researcher wishes toselect people in the middle 0% of the
population based on blood pressure. -f themean systolic blood pressure is 120 and thestandard deviation is +, (nd the upper andlower readings that would qualify people to
participate in the study.
0.+#
8/18/2019 5.3 Finding Values Using the Normal Distribution
19/24
For a medical study, a researcher wishes toselect people in the middle 0% of the
population based on blood pressure. -f themean systolic blood pressure is 120 and thestandard deviation is +, (nd the upper andlower readings that would qualify people to
participate in the study.
0.+#
*0.+#
8/18/2019 5.3 Finding Values Using the Normal Distribution
20/24
For a medical study, a researcher wishes toselect people in the middle 0% of the
population based on blood pressure. -f themean systolic blood pressure is 120 and thestandard deviation is +, (nd the upper andlower readings that would qualify people to
participate in the study.
oo/ up 0.$000 in the chart.
orresponding )*score is 0.+# and *0.+#
8/18/2019 5.3 Finding Values Using the Normal Distribution
21/24
For a medical study, a researcher wishes toselect people in the middle 0% of the
population based on blood pressure. -f themean systolic blood pressure is 120 and thestandard deviation is +, (nd the upper andlower readings that would qualify people to
participate in the study.
!1 ) 3 4 50.+#65+6 3 120 12.&2
8/18/2019 5.3 Finding Values Using the Normal Distribution
22/24
For a medical study, a researcher wishes toselect people in the middle 0% of the
population based on blood pressure. -f themean systolic blood pressure is 120 and thestandard deviation is +, (nd the upper andlower readings that would qualify people to
participate in the study.
!1 ) 3 4 50.+#65+6 3 120 12.&2
!2 ) 3 4 5*0.+#65+6 3 120 11$.2+
8/18/2019 5.3 Finding Values Using the Normal Distribution
23/24
For a medical study, a researcher wishes toselect people in the middle 0% of the
population based on blood pressure. -f themean systolic blood pressure is 120 and thestandard deviation is +, (nd the upper andlower readings that would qualify people to
participate in the study.
!1 ) 3 4 50.+#65+6 3 120 12.&2
!2 ) 3 4 5*0.+#65+6 3 120 11$.2+
The middle 0% will have readings between11$.2+ and 12.&2
8/18/2019 5.3 Finding Values Using the Normal Distribution
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ssignmentpage 2 1*# all