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Q1. Consider the following hypothesis: Give:​​Ho: µ ≤ 28 H1: µ > 28 A sample with x̅​​​ =28.9, σ=2, n=36 Assuming α=0.05 Solution:  Calculate zx̅ = Find zα= Compare zx̅ and zα Your conclusion:       Q2.Consider the following hypothesis: Give:​​Ho: µ ≤ 28 H1: µ > 28 A sample with x̅​​​ =28.9, σ=2, n=36 Assuming α=0.05 Solution:

Q1. Consider the following hypothesis: Give:​​Ho: µ ≤ 28 H1: µ > 28 A sample with x̅​​​ =28.9, σ=2, n=36 Assuming α=0.05 Solution:  Calculate zx̅ = Find zα= Compare zx̅ and zα Your conclusion:       Q2.Consider the following hypothesis: Give:​​Ho: µ ≤ 28 H1: µ > 28 A sample with x̅​​​ =28.9, σ=2, n=36 Assuming α=0.05 Solution:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 6E
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Q1. Consider the following hypothesis:

Give:​​Ho: µ ≤ 28

H1: µ > 28

A sample with x̅​​​ =28.9, σ=2, n=36 Assuming α=0.05

Solution: 

Calculate zx̅ =

Find zα=
Compare zx̅ and zα

Your conclusion:

 

 

 

Q2.Consider the following hypothesis:

Give:​​Ho: µ ≤ 28

H1: µ > 28

A sample with x̅​​​ =28.9, σ=2, n=36 Assuming α=0.05

Solution: 

Calculate zx̅ =

Calculate p-value:

Compare p-value with α:

Your conclusion:

 

 

 

Q3. Consider the following hypothesis:

Give:​​Ho: µ ≤ 28

H1: µ > 28

A sample with x̅​​​ =28.9, σ=2, n=36 Assuming α=0.05

Solution: 

Calculate zx̅ =
Find p-value using Excel:

Compare p-value with α:

Your conclusion:

Table-5: t-Table One Tale 12.30 4:30 6.96 22.328 10214 7.173 2.57 1365 244 3-14. 5208 2.36 2.998 2.30 2.896 3355 4,501 2.202 325 129 2.22 2.704 2.20 3.93 2.97 2.845 2.831 3-52 2.81g 350 348 34b 3435 Table-5: t-Table Two Tail A-0.2 3.707 2365 2.998 3-499 2306 2.896 3355 2.20a 2.821 1.761 2.145 2.624 2.97 3.787 1746 2.12 3.686 3.61 E74 2.101 2.093 2.539 2.861 1725 2.086 2.528 2.845 3-554 2.08 2.518 2 831 3-527 2 7ו17 2.508 2.80 1.714 2.06g 25 2.80 2.06 2-78 170 2.056 3435 2.05 是目 有 。 著 著 哥 34 56ト 9 = ゴ s aa a 8& 品 。
Transcribed Image Text:Table-5: t-Table One Tale 12.30 4:30 6.96 22.328 10214 7.173 2.57 1365 244 3-14. 5208 2.36 2.998 2.30 2.896 3355 4,501 2.202 325 129 2.22 2.704 2.20 3.93 2.97 2.845 2.831 3-52 2.81g 350 348 34b 3435 Table-5: t-Table Two Tail A-0.2 3.707 2365 2.998 3-499 2306 2.896 3355 2.20a 2.821 1.761 2.145 2.624 2.97 3.787 1746 2.12 3.686 3.61 E74 2.101 2.093 2.539 2.861 1725 2.086 2.528 2.845 3-554 2.08 2.518 2 831 3-527 2 7ו17 2.508 2.80 1.714 2.06g 25 2.80 2.06 2-78 170 2.056 3435 2.05 是目 有 。 著 著 哥 34 56ト 9 = ゴ s aa a 8& 品 。
Table-1: Positive z-table .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .5120 5199 .5000 .5398 .5080 .5478 5871 0.0 .5040 .5160 .5239 .5279 .5319 .5359 .5596 5987 0.1 .5714 .5753 .5438 5832 .6217 .5517 .5557 .5636 .5675 .6064 .6443 .5910 .5948 .6026 .6103 .6480 .6141 .6517 0.2 5793 0.3 .6179 .6554 .6915 .7257 .6255 .6293 .6331 .6368 .6406 .6591 .6628 .6664 .7019 7357 .6700 7054 7389 .6736 .6772 .6808 .6844 .6879 0.4 0.5 0.6 .6950 .7291 .6985 .7324 7088 7422 7734 7123 .7157 .7190 7224 .7454 .7764 7486 7794 7517 .7823 7549 7852 0.7 .7580 .7611 .7910 .8186 .8438 .7642 7673 7704 7967 .8238 .8485 .8708 0.8 .7881 .7939 7995 8023 8051 .8078 .8106 .8133 .8389 0.9 1.0 1.1 .8159 .8413 .8212 .8461 .8686 .8264 .8289 .8315 8340 .8365 .8508 .8729 .8531 .8749 .8554 8770 .8962 .8577 .8790 .8599 .8810 .8621 .8643 .8665 .8830 1.2 .8849 .8869 .8888 .8907 8925 .8944 .8980 .8997 .9015 .9032 .9192 .9332 .9452 .9554 .9066 .9082 9115 .9147 .9162 .9292 .9306 .9177 .9319 1.3 9049 .9099 .9131 1.4 9207 .9222 .9236 .9251 .9382 .9495 .9591 .9265 .9279 1.5 1.6 1.7 .9345 .9357 .9370 .9394 .9406 .9418 .9429 .9441 .9463 .9564 .9474 .9573 .9656 9484 .9582 .9505 .9599 .9678 .9515 .9608 .9686 .9525 .9535 .9616 .9693 .9625 .9699 .9545 9633 .9706 1.8 .9641 .9713 .9649 .9664 .9732 9788 .9671 .9719 9744 9798 .9842 .9878 1.9 .9726 .9738 .9750 .9756 .9761 .9767 9778 .9826 9803 .9808 .9812 9817 2.0 2.1 2.2 2.3 .9772 .9821 9861 .9783 .9830 .9868 9793 .9834 9871 .9838 .9875 .9904 .9927 .9846 .9850 .9884 .9911 9932 .9949 .9854 .9887 .9913 .9934 .9951 .9857 .9881 .9864 .9896 .9920 .9901 .9925 .9890 9916 9906 .9909 .9931 .9893 .9898 .9922 .9936 .9952 2.4 .9918 .9929 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 2.6 2.7 2.8 .9953 .9955 .9956 .9967 .9976 .9957 .9968 .9977 .9959 .9960 .9961 .9962 .9963 .9964 .9965 .9974 .9966 .9975 .9969 .9977 .9970 .9978 .9984 .9971 .9979 9985 .9972 .9973 .9974 .9979 9985 .9980 .9986 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9986 3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990 .9992 3.1 3.2 .9990 9993 .9991 .9991 .9991 .9992 .9992 .9992 .9993 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 9995 .9995 3.3 3.4 .9995 .9995 .9997 .9997 9996 .9997 .9996 .9996 .9996 9996 .9996 .9997 .9997 .9997 .9997 9997 .9997 .9997 .9998 Table-3: Negative z-table 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -0 50000 49601 49202 48803 48405 48006 47608 47210 46812 46414 -0.1 46017 45620 45224 44828 44433 44034 43640 43251 428S8 42465 -0.2 42074 41683 41294 40905 40517 40129 39743 39358 38974 38591 -0.3 38209 37828 37448 37070 36693 36317 35942 35569 35197 34827 -0.4 34458 34090 33724 33360 32997 32636 32276 31918 31561 31207 -0.5 30854 30503 30153 29806 29460 29116 28774 28434 28096 27760 -0.6 27425 27093 26763 26435 26109 25785 25463 25143 24825 24510 21476 18673 -0.7 24196 23885 23576 23270 22965 22663 22363 22065 21770 -0.8 21186 20897 20611 20327 20045 .19766 .19489 .19215 18943 -0.9 18406 18141 17879 .17619 17361 17106 .16853 .16602 16354 .16109 -1 15866 15625 .15386 .15151 14917 .14686 .14457 14231 14007 13786 -1.1 -1.2 .13567 13350 13136 12924 12714 12507 12302 12100 11900 11702 11507 .11314 123 10935 10749 10565 10383 10204 10027 .09853 -1.3 09680 .09510 .09342 09176 .09012 08851 .08692 08534 08379 08226 -1.4 08076 07927 07780 07636 07493 07353 .07215 07078 06944 .06811 -1.5 06681 06552 06426 06301 06178 06057 05938 O5821 05705 05592 -1.6 05480 05370 05262 05155 .05050 04947 04846 04746 04648 04551 -1.7 04457 04363 04272 04182 04093 04006 03920 03836 03754 03673 -1.8 03593 03515 03438 03362 03288 03216 03144 03074 03005 02938 -1.9 02872 02807 02743 026B0 02619 02559 02500 02442 02385 02330 -2 02275 02222 02169 02118 02068 02018 .01970 01923 01876 01831 -2.1 01786 01700 01618 01463 01426 01743 01659 01578 01539 01500 -2.2 01390 01355 01321 01287 01255 01222 01191 01160 01130 01101 -2.3 01072 01044 0OBB9 00842 01017 00990 00964 00939 00914 00866 -2.4 00820 00798 00776 00755 00734 00714 00695 00676 00657 00639 -2.5 00621 00604 00587 00570 .00554 00539 00523 00508 00494 00480 -2.6 00466 .00453 00440 00427 00415 00402 00391 00379 .00368 00357 -2.7 00347 .00336 .00326 00317 .00307 00298 .00289 00280 .00272 00264 .00193 .00144 00139 -2.8 00256 00248 00240 00233 00226 00219 00212 00205 00199 -2.9 00187 .00181 00175 00169 00164 00159 .00154 00149 -3 00135 00131 .00126 00122 00118 00114 00111 00107 00104 00100 -3.1 00097 00094 .00090 00087 .00084 000B2 00079 00076 00074 00071 -3.2 00069 .00066 00064 00062 00060 00058 00056 00054 00052 00050 -3.3 00048 .00047 00045 00043 O0042 00040 00039 00038 00036 00035 -3.4 00034 00032 00031 00030 O0029 00028 00027 00026 00025 D0024 -3.5 00023 00022 .00022 00021 00020 00019 .00019 00018 00017 00017 -3.6 00016 00015 00015 00014 O0014 00013 00013 00012 00012 .00011 -3.7 .00011 00010 00010 00010 00009 00009 00008 00008 0000B 00008 -3.8 00007 00007 00007 00006 .00006 00006 .00006 00005 00005 00005 -3.9 00005 .00005 00004 00004 00004 00004 00004 00004 00003 00003 -4 00003 00003 .00003 00003 00003 00003 00002 00002 00002 .00002
Transcribed Image Text:Table-1: Positive z-table .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .5120 5199 .5000 .5398 .5080 .5478 5871 0.0 .5040 .5160 .5239 .5279 .5319 .5359 .5596 5987 0.1 .5714 .5753 .5438 5832 .6217 .5517 .5557 .5636 .5675 .6064 .6443 .5910 .5948 .6026 .6103 .6480 .6141 .6517 0.2 5793 0.3 .6179 .6554 .6915 .7257 .6255 .6293 .6331 .6368 .6406 .6591 .6628 .6664 .7019 7357 .6700 7054 7389 .6736 .6772 .6808 .6844 .6879 0.4 0.5 0.6 .6950 .7291 .6985 .7324 7088 7422 7734 7123 .7157 .7190 7224 .7454 .7764 7486 7794 7517 .7823 7549 7852 0.7 .7580 .7611 .7910 .8186 .8438 .7642 7673 7704 7967 .8238 .8485 .8708 0.8 .7881 .7939 7995 8023 8051 .8078 .8106 .8133 .8389 0.9 1.0 1.1 .8159 .8413 .8212 .8461 .8686 .8264 .8289 .8315 8340 .8365 .8508 .8729 .8531 .8749 .8554 8770 .8962 .8577 .8790 .8599 .8810 .8621 .8643 .8665 .8830 1.2 .8849 .8869 .8888 .8907 8925 .8944 .8980 .8997 .9015 .9032 .9192 .9332 .9452 .9554 .9066 .9082 9115 .9147 .9162 .9292 .9306 .9177 .9319 1.3 9049 .9099 .9131 1.4 9207 .9222 .9236 .9251 .9382 .9495 .9591 .9265 .9279 1.5 1.6 1.7 .9345 .9357 .9370 .9394 .9406 .9418 .9429 .9441 .9463 .9564 .9474 .9573 .9656 9484 .9582 .9505 .9599 .9678 .9515 .9608 .9686 .9525 .9535 .9616 .9693 .9625 .9699 .9545 9633 .9706 1.8 .9641 .9713 .9649 .9664 .9732 9788 .9671 .9719 9744 9798 .9842 .9878 1.9 .9726 .9738 .9750 .9756 .9761 .9767 9778 .9826 9803 .9808 .9812 9817 2.0 2.1 2.2 2.3 .9772 .9821 9861 .9783 .9830 .9868 9793 .9834 9871 .9838 .9875 .9904 .9927 .9846 .9850 .9884 .9911 9932 .9949 .9854 .9887 .9913 .9934 .9951 .9857 .9881 .9864 .9896 .9920 .9901 .9925 .9890 9916 9906 .9909 .9931 .9893 .9898 .9922 .9936 .9952 2.4 .9918 .9929 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 2.6 2.7 2.8 .9953 .9955 .9956 .9967 .9976 .9957 .9968 .9977 .9959 .9960 .9961 .9962 .9963 .9964 .9965 .9974 .9966 .9975 .9969 .9977 .9970 .9978 .9984 .9971 .9979 9985 .9972 .9973 .9974 .9979 9985 .9980 .9986 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9986 3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990 .9992 3.1 3.2 .9990 9993 .9991 .9991 .9991 .9992 .9992 .9992 .9993 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 9995 .9995 3.3 3.4 .9995 .9995 .9997 .9997 9996 .9997 .9996 .9996 .9996 9996 .9996 .9997 .9997 .9997 .9997 9997 .9997 .9997 .9998 Table-3: Negative z-table 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -0 50000 49601 49202 48803 48405 48006 47608 47210 46812 46414 -0.1 46017 45620 45224 44828 44433 44034 43640 43251 428S8 42465 -0.2 42074 41683 41294 40905 40517 40129 39743 39358 38974 38591 -0.3 38209 37828 37448 37070 36693 36317 35942 35569 35197 34827 -0.4 34458 34090 33724 33360 32997 32636 32276 31918 31561 31207 -0.5 30854 30503 30153 29806 29460 29116 28774 28434 28096 27760 -0.6 27425 27093 26763 26435 26109 25785 25463 25143 24825 24510 21476 18673 -0.7 24196 23885 23576 23270 22965 22663 22363 22065 21770 -0.8 21186 20897 20611 20327 20045 .19766 .19489 .19215 18943 -0.9 18406 18141 17879 .17619 17361 17106 .16853 .16602 16354 .16109 -1 15866 15625 .15386 .15151 14917 .14686 .14457 14231 14007 13786 -1.1 -1.2 .13567 13350 13136 12924 12714 12507 12302 12100 11900 11702 11507 .11314 123 10935 10749 10565 10383 10204 10027 .09853 -1.3 09680 .09510 .09342 09176 .09012 08851 .08692 08534 08379 08226 -1.4 08076 07927 07780 07636 07493 07353 .07215 07078 06944 .06811 -1.5 06681 06552 06426 06301 06178 06057 05938 O5821 05705 05592 -1.6 05480 05370 05262 05155 .05050 04947 04846 04746 04648 04551 -1.7 04457 04363 04272 04182 04093 04006 03920 03836 03754 03673 -1.8 03593 03515 03438 03362 03288 03216 03144 03074 03005 02938 -1.9 02872 02807 02743 026B0 02619 02559 02500 02442 02385 02330 -2 02275 02222 02169 02118 02068 02018 .01970 01923 01876 01831 -2.1 01786 01700 01618 01463 01426 01743 01659 01578 01539 01500 -2.2 01390 01355 01321 01287 01255 01222 01191 01160 01130 01101 -2.3 01072 01044 0OBB9 00842 01017 00990 00964 00939 00914 00866 -2.4 00820 00798 00776 00755 00734 00714 00695 00676 00657 00639 -2.5 00621 00604 00587 00570 .00554 00539 00523 00508 00494 00480 -2.6 00466 .00453 00440 00427 00415 00402 00391 00379 .00368 00357 -2.7 00347 .00336 .00326 00317 .00307 00298 .00289 00280 .00272 00264 .00193 .00144 00139 -2.8 00256 00248 00240 00233 00226 00219 00212 00205 00199 -2.9 00187 .00181 00175 00169 00164 00159 .00154 00149 -3 00135 00131 .00126 00122 00118 00114 00111 00107 00104 00100 -3.1 00097 00094 .00090 00087 .00084 000B2 00079 00076 00074 00071 -3.2 00069 .00066 00064 00062 00060 00058 00056 00054 00052 00050 -3.3 00048 .00047 00045 00043 O0042 00040 00039 00038 00036 00035 -3.4 00034 00032 00031 00030 O0029 00028 00027 00026 00025 D0024 -3.5 00023 00022 .00022 00021 00020 00019 .00019 00018 00017 00017 -3.6 00016 00015 00015 00014 O0014 00013 00013 00012 00012 .00011 -3.7 .00011 00010 00010 00010 00009 00009 00008 00008 0000B 00008 -3.8 00007 00007 00007 00006 .00006 00006 .00006 00005 00005 00005 -3.9 00005 .00005 00004 00004 00004 00004 00004 00004 00003 00003 -4 00003 00003 .00003 00003 00003 00003 00002 00002 00002 .00002
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