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To evaluate a CDF use Desmos only where directly indicated, otherwise use the attached z-score and areas tables and show all steps. Clearly explain and justify the solution using proper terminology and notation. Please, I need your help. Thanks 1. Suppose, the average number of hours of Netflix viewing among adult females per week is 26.5 hours and the standard deviation is 7.2 hours. A random sample of 36 Canadian households is selected. a) What is the probability that the sample average is more than 27 hours? b) Suppose we don`t know the population standard deviation σ, but we do know that 70% of all sample means are greater than 25 hours and the population mean is still 25.6 hours. What is the value of the population σ?

To evaluate a CDF use Desmos only where directly indicated, otherwise use the attached z-score and areas tables and show all steps. Clearly explain and justify the solution using proper terminology and notation. Please, I need your help. Thanks 1. Suppose, the average number of hours of Netflix viewing among adult females per week is 26.5 hours and the standard deviation is 7.2 hours. A random sample of 36 Canadian households is selected. a) What is the probability that the sample average is more than 27 hours? b) Suppose we don`t know the population standard deviation σ, but we do know that 70% of all sample means are greater than 25 hours and the population mean is still 25.6 hours. What is the value of the population σ?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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To evaluate a CDF use Desmos only where directly indicated, otherwise use the attached z-score and areas tables and show all steps.

Clearly explain and justify the solution using proper terminology and notation.

Please, I need your help. Thanks

1. Suppose, the average number of hours of Netflix
viewing among adult females per week is 26.5
hours and the standard deviation is 7.2 hours.
A random sample of 36 Canadian households is
selected.

a) What is the probability that the sample average is
more than 27 hours?

b) Suppose we don`t know the population standard
deviation σ, but we do know that 70% of all sample
means are greater than 25 hours and the population
mean is still 25.6 hours. What is the value of the
population σ?

STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.9 .00005 .00005 .00004 .00004 .00004 .00004 .00004 .00004 .00003 .00003 -3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00006 .00005 .00005 .00005 -3.7 .00011 .00010 .00010 .00010 .00009 .00009 .00008 .00008 .00008 .00008 -3.6 .00016 .00015 .00015 .00014 .00014 .00013 .00013 .00012 .00012 .00011 -3.5 .00023 .00022 .00022 .00021 .00020 .00019 .00019 .00018 .00017 .00017 -3.4 .00034 .00032 .00031 .00030 .00029 .00028 .00027 .00026 .00025 .00024 -3.3 .00048 .00047 .00045 .00043 .00042 .00040 .00039 .00038 .00036 .00035 -3.2 .00069 .00066 .00064 .00062 .00060 .00058 .00056 .00054 .00052 .00050 -3.1 .00097 .00094 .00090 .00087 .00084 .00082 .00079 .00076 .00074 .00071 -3.0 .00135 .00131 .00126 .00122 .00118 .00114 .00111 .00107 .00104 .00100 -2.9 .00187 .00181 .00175 .00169 .00164 .00159 .00154 .00149 .00144 .00139 -2.8 .00256 .00248 .00240 .00233 .00226 .00219 .00212 .00205 .00199 .00193 -2.7 .00347 .00336 .00326 .00317 .00307 .00298 .00289 .00280 .00272 .00264 -2.6 .00466 .00453 .00440 .00427 .00415 .00402 .00391 .00379 .00368 .00357 -2.5 .00621 .00604 .00587 .00570 .00554 .00539 .00523 .00508 .00494 .00480 -2.4 .00820 .00798 .00776 .00755 .00734 .00714 .00695 .00676 .00657 .00639 -2.3 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 .00866 .00842 -2.2 .01390 .01355 .01321 .01287 .01255 .01222 .01191 .01160 .01130 .01101 -2.1 .01786 .01743 .01700 .01659 .01618 .01578 .01539 .01500 .01463 .01426 -2.0 .02275 .02222 .02169 .02118 .02068 .02018 .01970 .01923 .01876 .01831 -1.9 .02872 .02807 .02743 .02680 .02619 .02559 .02500 .02442 .02385 .02330 -1.8 .03593 .03515 .03438 .03362 .03288 .03216 .03144 .03074 .03005 .02938 -1.7 .04457 .04363 .04272 .04182 .04093 .04006 .03920 .03836 .03754 .03673 -1.6 .05480 .05370 .05262 .05155 .05050 .04947 .04846 .04746 .04648 .04551 -1.5 .06681 .06552 .06426 .06301 .06178 .06057 .05938 .05821 .05705 .05592 -1.4 .08076 .07927 .07780 .07636 .07493 .07353 .07215 .07078 .06944 .06811 -1.3 .09680 .09510 .09342 .09176 .09012 .08851 .08691 .08534 .08379 .08226 -1.2 .11507 .11314 .11123 .10935 .10749 .10565 .10383 .10204 .10027 .09853 -1.1 .13567 .13350 .13136 .12924 .12714 .12507 .12302 .12100 .11900 .11702 -1.0 .15866 .15625 .15386 .15151 .14917 .14686 .14457 .14231 .14007 .13786 -0.9 .18406 .18141 .17879 .17619 .17361 .17106 .16853 .16602 .16354 .16109 -0.8 .21186 .20897 .20611 .20327 .20045 .19766 .19489 .19215 .18943 .18673 -0.7 .24196 .23885 .23576 .23270 .22965 .22663 .22363 .22065 .21770 .21476 -0.6 .27425 .27093 .26763 .26435 .26109 .25785 .25463 .25143 .24825 .24510 -0.5 .30854 .30503 .30153 .29806 .29460 .29116 .28774 .28434 .28096 .27760 -0.4 .34458 .34090 .33724 .33360 .32997 .32636 .32276 .31918 .31561 .31207 -0.3 .38209 .37828 .37448 .37070 .36693 .36317 .35942 .35569 .35197 .34827 -0.2 .42074 .41683 .41294 .40905 .40517 .40129 .39743 .39358 .38974 .38591 -0.1 .46017 .45620 .45224 .44828 .44433 .44038 .43644 .43251 .42858 .42465 -0.0 .50000 .49601 .49202 .48803 .48405 48006 .47608 .47210 .46812 .46414
Transcribed Image Text:STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.9 .00005 .00005 .00004 .00004 .00004 .00004 .00004 .00004 .00003 .00003 -3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00006 .00005 .00005 .00005 -3.7 .00011 .00010 .00010 .00010 .00009 .00009 .00008 .00008 .00008 .00008 -3.6 .00016 .00015 .00015 .00014 .00014 .00013 .00013 .00012 .00012 .00011 -3.5 .00023 .00022 .00022 .00021 .00020 .00019 .00019 .00018 .00017 .00017 -3.4 .00034 .00032 .00031 .00030 .00029 .00028 .00027 .00026 .00025 .00024 -3.3 .00048 .00047 .00045 .00043 .00042 .00040 .00039 .00038 .00036 .00035 -3.2 .00069 .00066 .00064 .00062 .00060 .00058 .00056 .00054 .00052 .00050 -3.1 .00097 .00094 .00090 .00087 .00084 .00082 .00079 .00076 .00074 .00071 -3.0 .00135 .00131 .00126 .00122 .00118 .00114 .00111 .00107 .00104 .00100 -2.9 .00187 .00181 .00175 .00169 .00164 .00159 .00154 .00149 .00144 .00139 -2.8 .00256 .00248 .00240 .00233 .00226 .00219 .00212 .00205 .00199 .00193 -2.7 .00347 .00336 .00326 .00317 .00307 .00298 .00289 .00280 .00272 .00264 -2.6 .00466 .00453 .00440 .00427 .00415 .00402 .00391 .00379 .00368 .00357 -2.5 .00621 .00604 .00587 .00570 .00554 .00539 .00523 .00508 .00494 .00480 -2.4 .00820 .00798 .00776 .00755 .00734 .00714 .00695 .00676 .00657 .00639 -2.3 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 .00866 .00842 -2.2 .01390 .01355 .01321 .01287 .01255 .01222 .01191 .01160 .01130 .01101 -2.1 .01786 .01743 .01700 .01659 .01618 .01578 .01539 .01500 .01463 .01426 -2.0 .02275 .02222 .02169 .02118 .02068 .02018 .01970 .01923 .01876 .01831 -1.9 .02872 .02807 .02743 .02680 .02619 .02559 .02500 .02442 .02385 .02330 -1.8 .03593 .03515 .03438 .03362 .03288 .03216 .03144 .03074 .03005 .02938 -1.7 .04457 .04363 .04272 .04182 .04093 .04006 .03920 .03836 .03754 .03673 -1.6 .05480 .05370 .05262 .05155 .05050 .04947 .04846 .04746 .04648 .04551 -1.5 .06681 .06552 .06426 .06301 .06178 .06057 .05938 .05821 .05705 .05592 -1.4 .08076 .07927 .07780 .07636 .07493 .07353 .07215 .07078 .06944 .06811 -1.3 .09680 .09510 .09342 .09176 .09012 .08851 .08691 .08534 .08379 .08226 -1.2 .11507 .11314 .11123 .10935 .10749 .10565 .10383 .10204 .10027 .09853 -1.1 .13567 .13350 .13136 .12924 .12714 .12507 .12302 .12100 .11900 .11702 -1.0 .15866 .15625 .15386 .15151 .14917 .14686 .14457 .14231 .14007 .13786 -0.9 .18406 .18141 .17879 .17619 .17361 .17106 .16853 .16602 .16354 .16109 -0.8 .21186 .20897 .20611 .20327 .20045 .19766 .19489 .19215 .18943 .18673 -0.7 .24196 .23885 .23576 .23270 .22965 .22663 .22363 .22065 .21770 .21476 -0.6 .27425 .27093 .26763 .26435 .26109 .25785 .25463 .25143 .24825 .24510 -0.5 .30854 .30503 .30153 .29806 .29460 .29116 .28774 .28434 .28096 .27760 -0.4 .34458 .34090 .33724 .33360 .32997 .32636 .32276 .31918 .31561 .31207 -0.3 .38209 .37828 .37448 .37070 .36693 .36317 .35942 .35569 .35197 .34827 -0.2 .42074 .41683 .41294 .40905 .40517 .40129 .39743 .39358 .38974 .38591 -0.1 .46017 .45620 .45224 .44828 .44433 .44038 .43644 .43251 .42858 .42465 -0.0 .50000 .49601 .49202 .48803 .48405 48006 .47608 .47210 .46812 .46414
STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .50000 .50399 .50798 .51197 .51595 .51994 .52392 .52790 .53188 .53586 0.1 .53983 .54380 .54776 .55172 .55567 .55962 .56356 .56749 .57142 .57535 0.2 .57926 .58317 .58706 .59095 .59483 .59871 .60257 .60642 .61026 .61409 0.3 .61791 .62172 .62552 .62930 .63307 .63683 .64058 .64431 .64803 .65173 0.4 .65542 .65910 .66276 .66640 .67003 .67364 .67724 .68082 .68439 .68793 0.5 .69146 .69497 .69847 .70194 .70540 .70884 .71226 .71566 .71904 .72240 0.6 .72575 .72907 .73237 .73565 .73891 .74215 .74537 .74857 .75175 .75490 0.7 .75804 .76115 .76424 .76730 .77035 .77337 .77637 .77935 .78230 .78524 0.8 .78814 .79103 .79389 .79673 .79955 .80234 .80511 .80785 .81057 .81327 0.9 .81594 .81859 .82121 82381 82639 .82894 .83147 .83398 83646 .83891 1.0 .84134 .84375 .84614 .84849 .85083 .85314 .85543 .85769 .85993 .86214 1.1 .86433 .86650 .86864 .87076 .87286 .87493 .87698 .87900 .88100 .88298 1.2 .88493 .88686 .88877 .89065 .89251 .89435 .89617 .89796 .89973 .90147 1.3 .90320 .90490 .90658 .90824 .90988 .91149 .91309 .91466 .91621 .91774 1.4 .91924 .92073 .92220 .92364 .92507 .92647 .92785 .92922 .93056 .93189 1.5 .93319 .93448 .93574 93699 .93822 .93943 .94062 .94179 .94295 .94408 1.6 .94520 .94630 .94738 .94845 .94950 .95053 .95154 .95254 .95352 .95449 1.7 .95543 .95637 .95728 .95818 .95907 .95994 .96080 .96164 .96246 .96327 1.8 .96407 .96485 .96562 .96638 .96712 .96784 .96856 .96926 .96995 .97062 1.9 .97128 .97193 .97257 .97320 .97381 .97441 .97500 .97558 .97615 .97670 2.0 .97725 .97778 .97831 .97882 .97932 .97982 .98030 .98077 .98124 .98169 2.1 .98214 .98257 .98300 .98341 .98382 .98422 .98461 .98500 .98537 .98574 2.2 .98610 .98645 .98679 .98713 .98745 .98778 .98809 .98840 .98870 .98899 2.3 .98928 .98956 .98983 .99010 .99036 .99061 .99086 .99111 .99134 .99158 2.4 .99180 .99202 .99224 .99245 .99266 .99286 .99305 .99324 .99343 .99361 2.5 .99379 .99396 .99413 .99430 .99446 .99461 .99477 .99492 .99506 .99520 2.6 .99534 .99547 .99560 .99573 .99585 .99598 .99609 .99621 .99632 .99643 2.7 .99653 .99664 .99674 .99683 .99693 .99702 .99711 .99720 .99728 .99736 2.8 .99744 .99752 .99760 .99767 .99774 .99781 .99788 .99795 .99801 .99807 2.9 .99813 .99819 .99825 .99831 99836 .99841 .99846 .99851 99856 .99861 3.0 .99865 .99869 .99874 .99878 .99882 .99886 .99889 .99893 .99896 .99900 3.1 .99903 .99906 .99910 .99913 .99916 .99918 .99921 .99924 .99926 .99929 3.2 .99931 .99934 .99936 .99938 .99940 .99942 .99944 .99946 .99948 .99950 3.3 .99952 .99953 .99955 .99957 .99958 .99960 .99961 .99962 .99964 .99965 3.4 .99966 .99968 .99969 .99970 .99971 .99972 .99973 99974 .99975 .99976 3.5 .99977 .99978 .99978 .99979 .99980 .99981 .99981 .99982 .99983 .99983 3.6 .99984 .99985 .99985 .99986 .99986 .99987 .99987 .99988 .99988 .99989 3.7 .99989 .99990 .99990 .99990 .99991 .99991 .99992 .99992 .99992 .99992 3.8 .99993 .99993 .99993 .99994 .99994 .99994 .99994 .99995 .99995 .99995 3.9 .99995 .99995 .99996 .99996 .99996 .99996 .99996 .99996 .99997 .99997 a in
Transcribed Image Text:STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .50000 .50399 .50798 .51197 .51595 .51994 .52392 .52790 .53188 .53586 0.1 .53983 .54380 .54776 .55172 .55567 .55962 .56356 .56749 .57142 .57535 0.2 .57926 .58317 .58706 .59095 .59483 .59871 .60257 .60642 .61026 .61409 0.3 .61791 .62172 .62552 .62930 .63307 .63683 .64058 .64431 .64803 .65173 0.4 .65542 .65910 .66276 .66640 .67003 .67364 .67724 .68082 .68439 .68793 0.5 .69146 .69497 .69847 .70194 .70540 .70884 .71226 .71566 .71904 .72240 0.6 .72575 .72907 .73237 .73565 .73891 .74215 .74537 .74857 .75175 .75490 0.7 .75804 .76115 .76424 .76730 .77035 .77337 .77637 .77935 .78230 .78524 0.8 .78814 .79103 .79389 .79673 .79955 .80234 .80511 .80785 .81057 .81327 0.9 .81594 .81859 .82121 82381 82639 .82894 .83147 .83398 83646 .83891 1.0 .84134 .84375 .84614 .84849 .85083 .85314 .85543 .85769 .85993 .86214 1.1 .86433 .86650 .86864 .87076 .87286 .87493 .87698 .87900 .88100 .88298 1.2 .88493 .88686 .88877 .89065 .89251 .89435 .89617 .89796 .89973 .90147 1.3 .90320 .90490 .90658 .90824 .90988 .91149 .91309 .91466 .91621 .91774 1.4 .91924 .92073 .92220 .92364 .92507 .92647 .92785 .92922 .93056 .93189 1.5 .93319 .93448 .93574 93699 .93822 .93943 .94062 .94179 .94295 .94408 1.6 .94520 .94630 .94738 .94845 .94950 .95053 .95154 .95254 .95352 .95449 1.7 .95543 .95637 .95728 .95818 .95907 .95994 .96080 .96164 .96246 .96327 1.8 .96407 .96485 .96562 .96638 .96712 .96784 .96856 .96926 .96995 .97062 1.9 .97128 .97193 .97257 .97320 .97381 .97441 .97500 .97558 .97615 .97670 2.0 .97725 .97778 .97831 .97882 .97932 .97982 .98030 .98077 .98124 .98169 2.1 .98214 .98257 .98300 .98341 .98382 .98422 .98461 .98500 .98537 .98574 2.2 .98610 .98645 .98679 .98713 .98745 .98778 .98809 .98840 .98870 .98899 2.3 .98928 .98956 .98983 .99010 .99036 .99061 .99086 .99111 .99134 .99158 2.4 .99180 .99202 .99224 .99245 .99266 .99286 .99305 .99324 .99343 .99361 2.5 .99379 .99396 .99413 .99430 .99446 .99461 .99477 .99492 .99506 .99520 2.6 .99534 .99547 .99560 .99573 .99585 .99598 .99609 .99621 .99632 .99643 2.7 .99653 .99664 .99674 .99683 .99693 .99702 .99711 .99720 .99728 .99736 2.8 .99744 .99752 .99760 .99767 .99774 .99781 .99788 .99795 .99801 .99807 2.9 .99813 .99819 .99825 .99831 99836 .99841 .99846 .99851 99856 .99861 3.0 .99865 .99869 .99874 .99878 .99882 .99886 .99889 .99893 .99896 .99900 3.1 .99903 .99906 .99910 .99913 .99916 .99918 .99921 .99924 .99926 .99929 3.2 .99931 .99934 .99936 .99938 .99940 .99942 .99944 .99946 .99948 .99950 3.3 .99952 .99953 .99955 .99957 .99958 .99960 .99961 .99962 .99964 .99965 3.4 .99966 .99968 .99969 .99970 .99971 .99972 .99973 99974 .99975 .99976 3.5 .99977 .99978 .99978 .99979 .99980 .99981 .99981 .99982 .99983 .99983 3.6 .99984 .99985 .99985 .99986 .99986 .99987 .99987 .99988 .99988 .99989 3.7 .99989 .99990 .99990 .99990 .99991 .99991 .99992 .99992 .99992 .99992 3.8 .99993 .99993 .99993 .99994 .99994 .99994 .99994 .99995 .99995 .99995 3.9 .99995 .99995 .99996 .99996 .99996 .99996 .99996 .99996 .99997 .99997 a in
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