8/18/2019 5.3 Finding Values Using the Normal Distribution

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Finding values

8/18/2019 5.3 Finding Values Using the Normal Distribution

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 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

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 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

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 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

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 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

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 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

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 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

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 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

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 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

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 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

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 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

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 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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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