Normal Probability Distributions/Normal Distributions: Finding Values Provide an appropriate response.Two high school students took equivalent language tests, one in German and one in French. The student taking the German test, for which the mean was 66 and the standard deviation was 8, scored an 82, while the student... Provide an appropriate response.

Two high school students took equivalent language tests, one in German and one in French. The student taking the German test, for which the mean was 66 and the standard deviation was 8, scored an 82, while the student taking the French test, for which the mean was 27 and the standard deviation was 5, scored a 35. Compare the scores.]]> 1.0000000 1.0000000 0 true true abc The two scores are statistically the same. x You cannot determine which score is better from the given information. x A score of 35 with a mean of 27 and a standard deviation of 5 is better. x A score of 82 with a mean of 66 and a standard deviation of 8 is better. x Question 01 Use your graphing calculator to find the z-score to three significant figures that corresponds to the cumulative area of «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo».«/mo»«mn»7580«/mn»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 02 Use your graphing calculator to find the z-score to three significant figures that corresponds to the cumulative area of «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo».«/mo»«mn»2090«/mn»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 03 Use your graphing calculator to find the z-score to three significant figures that corresponds to the cumulative area of «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo».«/mo»«mn»6331«/mn»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 04 Use your graphing calculator to find the z-score to three significant figures that corresponds to the cumulative area of «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo».«/mo»«mn»0918«/mn»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 05 Use your graphing calculator to find the z-score to three significant figures that corresponds to the cumulative area of «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo».«/mo»«mn»4364«/mn»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 06 Use your graphing calculator to find the z-score to three significant figures that corresponds to the cumulative area of «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo».«/mo»«mn»0080«/mn»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 07 Use your graphing calculator to find the z-score to three significant figures that corresponds to the cumulative area of «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo».«/mo»«mn»9916«/mn»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 08 Use your graphing calculator to find the z-score to three significant figures that corresponds to the cumulative area of «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo».«/mo»«mn»7995«/mn»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 09 Use your graphing calculator to find the z-score to three significant figures that corresponds to the cumulative area of «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo».«/mo»«mn»05«/mn»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 10 Use your graphing calculator to find the z-score to three significant figures that corresponds to the cumulative area of «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo».«/mo»«mn»85«/mn»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 11 Use your graphing calculator to find the z-score to three significant figures that corresponds to the cumulative area of «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo».«/mo»«mn»94«/mn»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 12 Use your graphing calculator to find the z-score to three significant figures that corresponds to the cumulative area of «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo».«/mo»«mn»01«/mn»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 13 Use your graphing calculator to find the z-score to three significant figures that corresponds to «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»P«/mi»«mn»1«/mn»«/msub»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 14 Use your graphing calculator to find the z-score to three significant figures that corresponds to «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»P«/mi»«mn»15«/mn»«/msub»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 15 Use your graphing calculator to find the z-score to three significant figures that corresponds to «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»P«/mi»«mn»20«/mn»«/msub»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 16 Use your graphing calculator to find the z-score to three significant figures that corresponds to «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»P«/mi»«mn»55«/mn»«/msub»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 17 Use your graphing calculator to find the z-score to three significant figures that corresponds to «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»P«/mi»«mn»88«/mn»«/msub»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 18 Use your graphing calculator to find the z-score to three significant figures that corresponds to «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»P«/mi»«mn»67«/mn»«/msub»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 19 Use your graphing calculator to find the z-score to three significant figures that corresponds to «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»P«/mi»«mn»25«/mn»«/msub»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 20 Use your graphing calculator to find the z-score to three significant figures that corresponds to «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»P«/mi»«mn»50«/mn»«/msub»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 21 Use your graphing calculator to find the z-score to three significant figures that corresponds to «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»P«/mi»«mn»75«/mn»«/msub»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 22 Use your graphing calculator to find the z-score to three significant figures that corresponds to «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»P«/mi»«mn»90«/mn»«/msub»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 23 Use your graphing calculator to find the z-score to three significant figures that corresponds to «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»P«/mi»«mn»35«/mn»«/msub»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 24 Use your graphing calculator to find the z-score to three significant figures that corresponds to «math style=¨font-size:14px¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»P«/mi»«mn»65«/mn»«/msub»«/math».

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 25 Find the indicated z-score shown in the graph to three significant figures.

z = {#1}

z = {#1} z = {#2}

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2.0000000 0.3333333 0 ]]> Question 30 Find the indicated z-score shown in the graph to three significant figures.

z = {#1} z = {#2}

]]> 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A/eO25zlO2H/0/VUl8qpJKfqpJfKqSSn6qSXyqkkp+qlS636f7HzfV3+l6Fnqels37NrvU9P7R+h3bP9IvmJJJT9T0x6TIiNojbEcfm7Vl5n2j/nFg7J9HY7f/Ofu3fQ2foNu70vtHr/APdT0182JJKfqpJfKqSSn6qSXyqkkp+qkl8qpJKfqpJfKqSSn6qSXyqkkp//2f/tKVRQaG90b3Nob3AgMy4wADhCSU0EJQAAAAAAEAAAAAAAAAAAAAAAAAAAAAA4QklNA+oAAAAAGBA8P3htbCB2ZXJzaW9uPSIxLjAiIGVuY29kaW5nPSJVVEYtOCI/Pgo8IURPQ1RZUEUgcGxpc3QgUFVCTElDICItLy9BcHBsZS8vRFREIFBMSVNUIDEuMC8vRU4iICJodHRwOi8vd3d3LmFwcGxlLmNvbS9EVERzL1Byb3BlcnR5TGlzdC0xLjAuZHRkIj4KPHBsaXN0IHZlcnNpb249IjEuMCI+CjxkaWN0PgoJPGtleT5jb20uYXBwbGUucHJpbnQuUGFnZUZvcm1hdC5QTUhvcml6b250YWxSZXM8L2tleT4KCTxkaWN0PgoJCTxrZXk+Y29tLmFwcGxlLnByaW50LnRpY2tldC5jcmVhdG9yPC9rZXk+CgkJPHN0cmluZz5jb20uYXBwbGUuam9idGlja2V0PC9zdHJpbmc+CgkJPGtleT5jb20uYXBwbGUucHJpbnQudGlja2V0Lml0ZW1BcnJheTwva2V5PgoJCTxhcnJheT4KCQkJPGRpY3Q+CgkJCQk8a2V5PmNvbS5hcHBsZS5wcmludC5QYWdlRm9ybWF0LlBNSG9yaXpvbnRhbFJlczwva2V5PgoJCQkJPHJlYWw+NzI8L3JlYWw+CgkJCQk8a2V5PmNvbS5hcHBsZS5wcmludC50aWNrZXQuc3RhdGVGbGFnPC9rZXk+CgkJCQk8aW50ZWdlcj4wPC9pbnRlZ2VyPgoJCQk8L2RpY3Q+CgkJPC9hcnJheT4KCTwvZGljdD4KCTxrZXk+Y29tLmFwcGxlLnByaW50LlBhZ2VGb3JtYXQuUE1PcmllbnRhdGlvbjwva2V5PgoJPGRpY3Q+CgkJPGtleT5jb20uYXBwbGUucHJpbnQudGlja2V0LmNyZWF0b3I8L2tleT4KCQk8c3RyaW5nPmNvbS5hcHBsZS5qb2J0aWNrZXQ8L3N0cmluZz4KCQk8a2V5PmNvbS5hcHBsZS5wcmludC50aWNrZXQuaXRlbUFycmF5PC9rZXk+CgkJPGFycmF5PgoJCQk8ZGljdD4KCQkJCTxrZXk+Y29tLmFwcGxlLnByaW50LlBhZ2VGb3JtYXQuUE1PcmllbnRhdGlvbjwva2V5PgoJCQkJPGludGVnZXI+MTwvaW50ZWdlcj4KCQkJCTxrZXk+Y29tLmFwcGxlLnByaW50LnRpY2tldC5zdGF0ZUZsYWc8L2tleT4KCQkJCTxpbnRlZ2VyPjA8L2ludGVnZXI+CgkJCTwvZGljdD4KCQk8L2FycmF5PgoJPC9kaWN0PgoJPGtleT5jb20uYXBwbGUucHJpbnQuUGFnZUZvcm1hdC5QTVNjYWxpbmc8L2tleT4KCTxkaWN0PgoJCTxrZXk+Y29tLmFwcGxlLnByaW50LnRpY2tldC5jcmVhdG9yPC9rZXk+CgkJPHN0cmluZz5jb20uYXBwbGUuam9idGlja2V0PC9zdHJpbmc+CgkJPGtleT5jb20uYXBwbGUucHJpbnQudGlja2V0Lml0ZW1BcnJheTwva2V5PgoJCTxhcnJheT4KCQkJPGRpY3Q+CgkJCQk8a2V5PmNvbS5hcHBsZS5wcmludC5QYWdlRm9ybWF0LlBNU2NhbGluZzwva2V5PgoJCQkJPHJlYWw+MTwvcmVhbD4KCQkJCTxrZXk+Y29tLmFwcGxlLnByaW50LnRpY2tldC5zdGF0ZUZsYWc8L2tleT4KCQkJCTxpbnRlZ2VyPjA8L2ludGVnZXI+CgkJCTwvZGljdD4KCQk8L2FycmF5PgoJPC9kaWN0PgoJPGtleT5jb20uYXBwbGUucHJpbnQuUGFnZUZvcm1hdC5QTVZlcnRpY2FsUmVzPC9rZXk+Cgk8ZGljdD4KCQk8a2V5PmNvbS5hcHBsZS5wcmludC50aWNrZXQuY3JlYXRvcjwva2V5PgoJCTxzdHJpbmc+Y29tLmFwcGxlLmpvYnRpY2tldDwvc3RyaW5nPgoJCTxrZXk+Y29tLmFwcGxlLnByaW50LnRpY2tldC5pdGVtQXJyYXk8L2tleT4KCQk8YXJyYXk+CgkJCTxkaWN0PgoJCQkJPGtleT5jb20uYXBwbGUucHJpbnQuUGFnZUZvcm1hdC5QTVZlcnRpY2FsUmVzPC9rZXk+CgkJCQk8cmVhbD43MjwvcmVhbD4KCQkJCTxrZXk+Y29tLmFwcGxlLnByaW50LnRpY2tldC5zdGF0ZUZsYWc8L2tleT4KCQkJCTxpbnRlZ2VyPjA8L2ludGVnZXI+CgkJCTwvZGljdD4KCQk8L2FycmF5PgoJPC9kaWN0PgoJPGtleT5jb20uYXBwbGUucHJpbnQuUGFnZUZvcm1hdC5QTVZlcnRpY2FsU2NhbGluZzwva2V5PgoJPGRpY3Q+CgkJPGtleT5jb20uYXBwbGUucHJpbnQudGlja2V0LmNyZWF0b3I8L2tleT4KCQk8c3RyaW5nPmNvbS5hcHBsZS5qb2J0aWNrZXQ8L3N0cmluZz4KCQk8a2V5PmNvbS5hcHBsZS5wcmludC50aWNrZXQuaXRlbUFycmF5PC9rZXk+CgkJPGFycmF5PgoJCQk8ZGljdD4KCQkJCTxrZXk+Y29tLmFwcGxlLnByaW50LlBhZ2VGb3JtYXQuUE1WZXJ0aWNhbFNjYWxpbmc8L2tleT4KCQkJCTxyZWFsPjE8L3JlYWw+CgkJCQk8a2V5PmNvbS5hcHBsZS5wcmludC50aWNrZXQuc3RhdGVGbGFnPC9rZXk+CgkJCQk8aW50ZWdlcj4wPC9pbnRlZ2VyPgoJCQk8L2RpY3Q+CgkJPC9hcnJheT4KCTwvZGljdD4KCTxrZXk+Y29tLmFwcGxlLnByaW50LnN1YlRpY2tldC5wYXBlcl9pbmZvX3RpY2tldDwva2V5PgoJPGRpY3Q+CgkJPGtleT5QTVBQRFBhcGVyQ29kZU5hbWU8L2tleT4KCQk8ZGljdD4KCQkJPGtleT5jb20uYXBwbGUucHJpbnQudGlja2V0LmNyZWF0b3I8L2tleT4KCQkJPHN0cmluZz5jb20uYXBwbGUuam9idGlja2V0PC9zdHJpbmc+CgkJCTxrZXk+Y29tLmFwcGxlLnByaW50LnRpY2tldC5pdGVtQXJyYXk8L2tleT4KCQkJPGFycmF5PgoJCQkJPGRpY3Q+CgkJCQkJPGtleT5QTVBQRFBhcGVyQ29kZU5hbWU8L2tleT4KCQkJCQk8c3RyaW5nPkxldHRlcjwvc3RyaW5nPgoJCQkJCTxrZXk+Y29tLmFwcGxlLnByaW50LnRpY2tldC5zdGF0ZUZsYWc8L2tleT4KCQkJCQk8aW50ZWdlcj4wPC9pbnRlZ2VyPgoJCQkJPC9kaWN0PgoJCQk8L2FycmF5PgoJCTwvZGljdD4KCQk8a2V5PlBNVGlvZ2FQYXBlck5hbWU8L2tleT4KCQk8ZGljdD4KCQkJPGtleT5jb20uYXBwbGUucHJpbnQudGlja2V0LmNyZWF0b3I8L2tleT4KCQkJPHN0cmluZz5jb20uYXBwbGUuam9idGlja2V0PC9zdHJpbmc+CgkJCTxrZXk+Y29tLmFwcGxlLnByaW50LnRpY2tldC5pdGVtQXJyYXk8L2tleT4KCQkJPGFycmF5PgoJCQkJPGRpY3Q+CgkJCQkJPGtleT5QTVRpb2dhUGFwZXJOYW1lPC9rZXk+CgkJCQkJPHN0cmluZz5uYS1sZXR0ZXI8L3N0cmluZz4KCQkJCQk8a2V5PmNvbS5hcHBsZS5wcmludC50aWNrZXQuc3RhdGVGbGFnPC9rZXk+CgkJCQkJPGludGVnZXI+MDwvaW50ZWdlcj4KCQkJCTwvZGljdD4KCQkJPC9hcnJheT4KCQk8L2RpY3Q+CgkJPGtleT5jb20uYXBwbGUucHJpbnQuUGFnZUZvcm1hdC5QTUFkanVzdGVkUGFnZVJlY3Q8L2tleT4KCQk8ZGljdD4KCQkJPGtleT5jb20uYXBwbGUucHJpbnQudGlja2V0LmNyZWF0b3I8L2tleT4KCQkJPHN0cmluZz5jb20uYXBwbGUuam9idGlja2V0PC9zdHJpbmc+CgkJCTxrZXk+Y29tLmFwcGxlLnByaW50LnRpY2tldC5pdGVtQXJyYXk8L2tleT4KCQkJPGFycmF5PgoJCQkJPGRpY3Q+CgkJCQkJPGtleT5jb20uYXBwbGUucHJpbnQuUGFnZUZvcm1hdC5QTUFkanVzdGVkUGFnZVJlY3Q8L2tleT4KCQkJCQk8YXJyYXk+CgkJCQkJCTxyZWFsPjAuMDwvcmVhbD4KCQkJCQkJPHJlYWw+MC4wPC9yZWFsPgoJCQkJCQk8cmVhbD43MzQ8L3JlYWw+CgkJCQkJCTxyZWFsPjU3NjwvcmVhbD4KCQkJCQk8L2FycmF5PgoJCQkJCTxrZXk+Y29tLmFwcGxlLnByaW50LnRpY2tldC5zdGF0ZUZsYWc8L2tleT4KCQkJCQk8aW50ZWdlcj4wPC9pbnRlZ2VyPgoJCQkJPC9kaWN0PgoJCQk8L2FycmF5PgoJCTwvZGljdD4KCQk8a2V5PmNvbS5hcHBsZS5wcmludC5QYWdlRm9ybWF0LlBNQWRqdXN0ZWRQYXBlclJlY3Q8L2tleT4KCQk8ZGljdD4KCQkJPGtleT5jb20uYXBwbGUucHJpbnQudGlja2V0LmNy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2.0000000 0.3333333 0 ]]> Question 31 Find the z-score that has 11.9% of the distribution's area to its left.

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 32 Find the z-score that has 78.5% of the distribution's area to its left.

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 33 Find the z-score that has 11.9% of the distribution's area to its right.

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 34 Find the z-score that has 78.5% of the distribution's area to its right.

Answer: {#1}

]]> 1.0000000 0.3333333 0 ]]> Question 35 Find the z-score for which 80% of the distribution's area lies between -z and z.

{#1} {#2}

]]> 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 2.0000000 0.3333333 0 ]]> Question 36 Find the z-score for which 99% of the distribution's area lies between -z and z.

{#1} {#2}

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 2.0000000 0.3333333 0 ]]> Question 37 Find the z-score for which 5% of the distribution's area lies between -z and z.

{#1} {#2}

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nW0ceR8itvVIY5p3DIp6UakK2vcoAus0dUxRNBSn4s8o+WcnaBOwd5BI/GTRMXHzVtNiFVfZ8uzO/XKsyjaGcVRyHPe8kupCddWm8ju/T2AiD5HcAFy6m5E9h0RERERERERERFAPJbj7ifJrUWSaoy0hoxuYtVY7kHkvPJabrCJtS18UQywubxuZMQd4sYEQO7MTqH+G/IHLtjUmZ6U3LZqixcg+Pz0Nm2SUzA0F5imA2orzSuLs7tVxRDKfQWDqYnH7EgiN3kRERERERERERf/U38RERERERERQzvreWD8ddZZBtPYFVNDZrKHl0dDTRnLU3CvlEvdaGnEBdmknNu1iPoA/OMhBnJq28YdHZrd86vfLzkC0zbh2RReXhGvqrrLDgONVDDJTWmFpoIZI6xoy7aohCPqTyMQ95ykV+ERERERERERERERZ98ttF7LgzXEeWnGmjpKjfGr6Ga237EqnzXhzDHDcnO2yA08cXmQ+ZIcfQWkPqLMffFCzWh0ZvHAuQmu7RsbX9y96t9b0pr1aJfYrrPc44wOqtlwh+WKop3NmJvkJnEwcozAimNERERERERERF//V38REREREREXg9i7LwPUeJXXOdj5Vb8QxezxnJVXS4zjCJmwFIMEAk/dNNIwO0cUbEZv7IC7+Czz07qvYXL7Z2Mcr+RNqrcQ1zic0Fx43aCmqDdqYw8qWHIbkQDA5nMYeZHGYdSbt7vohEZNSEREREREREREREREWU25sfv8Awb3ZceUet7JdL1x72jURtyb13Z4KQYrPVh2xU+Q0UIRifR3lM5hZm7pO95Jeko+XpdhOa4tsbE7BnOE3umyLE8oo46+xXqkd3ingkbwfoTMQELs4mBMxATOJMxM7N6tERERERERERf/W38RERERERFF239v4FovArzsfZN7CyY3ZRYerN5lRV1MnXyaSkhZ+6aeV26ADfhJ3YRImpNg+rsq5l7BxrkJyHwufEdQYNNLNx80FeoAatqCOR+uQ5NEYO7SziEbxUjE8YsI9e4ep1GlSIiIiIiIiIiIiIiIuHV0lJcKSooK+niraGtiOCso5wGSKaKQXE45AJnEhIXdnZ26Oyy4umG5l+zsyLL9ganxCbYHEbN7nSXbZWvaWpk/O+CVZzBS1FzslORkNVSyBKLywsDyM0UbPJHFGUi0nwjN8V2PidgzrB75TZJiWT0YV1ivdI7vFPCf8vQmEgIXZxMDZiAmcSZiZ2b1iIiIiIiIiIv/X38RERERERQFv3kdrbjpj9rumcVtTWX7Kp5Lfr7ArRTyVt7yK5CwsNHb6SESIiI5Iwcy6AJGAkTEYMVd9O6A2xtDYVp5G8v6uhrMisRxV+j9E21zKy4N5wBK9VVF0jasugu/Y5mJjEYuYGX0LU+gqIiIiIiIiIiIiIiIiIsxMu0LsriPsm/744qWd8l1JkjtX7r4vUfm+ZKbSxNPc8Upw6xtVNE5H7u/a3QXjj7xOOKK72lN4605CYLR7F1TkYZHjVRPJRVJvFJT1NHWwiBTUlXTyiJxSxsYu7O3QhITByAhJ5dRERERERERf/9DfxERERERUt27y4hs2c0Gj9AYo29963eE5ay2W2qj/ADBisDShD75k9xgeV6QBc3JoWF5D6MLvG8sLyc3j9xWDXmRVW6tvZLLtfknlNNKGS5zUmZ221BUSEZW/HqSUR90po43GFn6MZiL+EYm8TXFRERERERERERERERERERUM3bxJyN9hz8jOLGW02qOQRx+RkNDXMT4rllKYmMsV6o4YyJ5/aEwnZi9oGcg7+2aP12juXmN7CyF9TbUsUujOQ9vdorjqbIJ43Kuf3eGo94s1aP0NbEYyu4gBeazCbuHYPe9xURERERERF//R38RERERRNt7d2rdD4rUZhtPMbfilqjCR6GnqZRetuEsbdfd6CkZ/NqZX6t7EYu7N4v0FndqQ1tbye5rVNBDjYZHxR4u1cztdr7Vk1s2Lk9F2wyC9DTtHN+bYSkjMBkKX6SI+/tlB/LV3dN6R1foHDoME1PiVJimPxTHU1Ixd0tVV1Eju5T1lVK5TVEnToLFIZOIMID0ARFpaREREREREREREREREREREUIbs48ao5B2e12nZ2M/nSbHar3/Fcio55aC7Wmr8PpqGupiCaJ+oiTj3OBOIOQu4D0pm+yOU3DKpo7XuW2XflNx2idoqPc+N0UlTmmPUlLbu4zyG3j7NRC0kTkVU8pEw98ksxSHFA199ZbV17uLFKHNNa5bbMwsFbHER1NsqoakqWaWEJ/dasIjN4JwCQe+KToYO/QmZSIiIiIiIi//S38RERFB+7ORmmuPOPT5HtnOrfjMYxNLQWVz8+617kXlgNHQRd083U/ByEewfEjIQEiaoFPvDmhyPvNfbdC6lj476pOcaH/WraVERX/tHo1VU23HDJhIwcnaFpmkhPt9uQHJwimrUPCzWGtsu/wBU8su1/wB37qGqlqINt57WncbjSREDxxU1DD1GnpooQIuztj72ci6GwdgBcVERERERERERERERERERERERFSnZ/B/W2UZJctmakvN144brrwqmm2ZgZNSNWvWdSnG6WxnCmqwlk6SydGjkORhN5e5lGc3Ivk3xn82l5VaqLaGtbPamkfkRqymeodjpifzai/WMyiKk7oekkskTDABs7RsYk/k3L1Zu/Ue7rQV81PsKy51RRxU81aNsqROppBqo2liGspC7Z6Y3F/EJgAmdnF2YhdmldEREREX/09/F112u9qsNrud8vtzpbLZLLSzV94vFfMFNS0lLTA8s9RPPK4hHHGAuRmTswszu79FAN15h8ULPQT3Gr5I61mp6fs8yOhye2V0795sDdlPSVEsp+JN17Rfo3Un6MzuoYy39pXxHx73Wgx7P63auW3SakpsfwTBrTW3a53OorKkKWOnpSeKGleXuPu8s5xMmboAkRAJdJJyk5W7FGKi0lwnySwvcal6eHM9uXGnxmjtsL1QwBWVdo6vXTgwMZyRQm0gszPG03VuvpY9FcsNoUk0O9OTg4JZqoTKXCtK2wbRI0hnDIDHkVzaprSijbzYXjjijcxcTOT5QUmap4d8e9P3KXIscwKG+5xUzhVV2xcqmlv8AfpqmMhIZ/frgUxRGzxi/0LRt1Zn6dfFWgRF+Mv1ERERfjL9REREXwzeL9W/pX2iIiIvhm8W8PBHbxbo39K+0RERF8v8AL+BfSKqW3eGWgdxXSnym5YrLhewaKWonotlYTUnj99CWrIiqDkqqPsacpXM+55xN/aPo7ORdYkl05zu1mZ0upeTOObaxinKn/M+PbfsrjcIIYpfpIZ75ZwaeqeUTJyllj7vZEQYfEn6K2cvuUuFU1BS724HZ3HWuFIFbetY1dJl8MxyeZ58oUFEcpU7D2M4gVTI/j7Zj7Pd7bHf2k/Di/SDQV+2HwnIaen8294vlVoulqq7bUA4hPRVUk1L7t7xBITgYRTH4iXa5CzkvYf8A384bf/oTFP8Azpv/AEl7ek5c8Va2kpqyHknrAIquEJ4gnyy0QSsMgsTMcMtUEkZdH8RMWJn8HZnUr4Zn2C7GtMl+15mlhzyxRVJ0kt6x25Ut0pBqIxEzheekklBjETF3Hr1Znb+dl7FEX//Unrk9+nTOv3f3z7f+mr79fDqX4v8Ah/uPqPKUB/wq0/hVqcNNf9yfu9/8H+jv/j/bv+V/vro9n/bz/dx/E6j76/aPsFt+X6/+39T7sor/AIVatRrf7l2b9Rv/ABH3P+C/aZfsv/j+s7l7sPmzfqh/M/2fk+c3zvwf1r49ICekBR3VfpQt36ifwIvy/wB6Py0v5D/2n8/43cpE9ICekBPSAnpAT0gJ6QE9IC42R/Bab9Tz4havi/2L7dT/ADPrv+m+u8tcn0gJ6QE9ICekBPSAnpAT0gLosn+7WQ/qXfDKv418N/In9t+o/vPxOq730gJ6QE9ICekBPSAnpAT0gLh3H4fXfqc/Z5ftf2f5j/lvxP7X4F12MfdrHv1LvhlJ8F+G/kQ+xfUf3f4nRd76QE9ICekBPSAnpAT0gJ6QF5XCPupZP1JPyD/dr4V88vsn4n9fVeq9ICekBPSAnpAT0gKD9y/9t/u9/wDGfpE/4H2H/m/7ig/+FWn8KtP4Vafwq1IGp/0qa0/drfeuzfcT71fbofgP/wAh/wBL9d2Lb5f/2Q== 2.0000000 0.3333333 0 ]]> Question 38 Find the z-score for which 12% of the distribution's area lies between -z and z.

{#1} {#2}

In a survey of women in the United States (ages 20-29), the mean height was 64.1 inches with a standard deviation of 2.71 inches.

What height represents the 95th percentile? {#1}
What height represents the first quartile? {#2}

]]> 2.0000000 0.3333333 0 ]]> Question 40 Heights of Men

In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches.

What height represents the 90th percentile?
{#1} inches
What height represents the first quartile?
{#2} inches

]]> 2.0000000 0.3333333 0 ]]> Question 41 Apples

The annual per capita utilization of apples (in pounds) in the Uniteed States can be approximated by a normal distribution, as shown in the graph.

What annual per capita utilization of apples represents the 10th percentile?
{#1} pounds
What annual per captita utilization of apples represents the third quartile?
{#2} pounds

]]> 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2.0000000 0.3333333 0 ]]> Question 42 Oranges

The annual per capita utilization of oranges (in pounds) in the United States can be approximated by a normal distribution, as shown in the graph.

What annual per captita utilization of oranges represents the 5th percentile?
{#1} pounds
What annual per capita utilization of oranges represents the third quartile?
{#2} pounds

]]> 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2.0000000 0.3333333 0 ]]> Question 43 Heart Transplant Waiting Times

The time spent (in days) waiting for a heart transplant in Ohio and Michigan for patients with type A+ blood can be approximated by a normal distribution, as shown in the graph.

What is the shortest time spent waiting for a heart that would still place a patient in the top 30% of waiting times?
{#1} days
What is the longest time spent for a heart that would still place a patient in the bottom 10% of waiting times?
{#2} days

]]> 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2.0000000 0.3333333 0 ]]> Question 44 Ice Cream

The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution, as shown in the graph.

What is the smallest annual per capita consumption of ice cream that can be in the top 25% of consumptions?
{#1} pounds
What is the largest annual per capita consumption of ice cream that can be in the bottom 15% of consumptions?
{#2} pounds

]]> 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 2.0000000 0.3333333 0 ]]> Question 45 Cereal Boxes

The weights of the contents of a cereal box are normally distributed with a mean weight of 20 ounces and a standard deviation of 0.07 ounce. Boxes in the lower 5% do not meet the minimum weight requirements and must be repackaged. What is the minimum weight requirement for the cereal box?

Answer:{#1} ounces

]]> 1.0000000 0.3333333 0 ]]> Question 46 Bags of Baby Carrots

The weights of bags of baby carrots are normally distributed with a mean of 32 ounces and a standard deviation of 0.36 ounce. Bags in the upper 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be repackaged?

Answer:{#1} ounces

]]> 1.0000000 0.3333333 0 ]]>