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An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a mean of 700 hours and a standard deviation of 37 hours. Test the hypothesis that = 700 hours against the alternative, μ#700 hours, if a random sample of 25 bulbs has an average life of 678 hours. Use a P-value in your answer. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Find the test statistic. (Round to two decimal places as needed.) Find the P-value. (Round to three decimal places as needed.) What is the appropriate conclusion for this test? Ho and conclude that there Do not reject Reject C sufficient evidence to conclude that the mean lifetime of the lightbulbs is not equal to 700 hours. In general, Ho would be rejected for significance levels than the P-value.

An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a mean of 700 hours and a standard deviation of 37 hours. Test the hypothesis that = 700 hours against the alternative, μ#700 hours, if a random sample of 25 bulbs has an average life of 678 hours. Use a P-value in your answer. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Find the test statistic. (Round to two decimal places as needed.) Find the P-value. (Round to three decimal places as needed.) What is the appropriate conclusion for this test? Ho and conclude that there Do not reject Reject C sufficient evidence to conclude that the mean lifetime of the lightbulbs is not equal to 700 hours. In general, Ho would be rejected for significance levels than the P-value.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 24PFA
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An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a mean of 700 hours and a standard deviation of 37 hours. Test the hypothesis that μ= 700 hours against the alternative, μ#700 hours, if a random sample of 25 bulbs has an average life of 678 hours. Use a P-value in your answer. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Find the test statistic. (Round to two decimal places as needed.) Find the P-value. (Round to three decimal places as needed.) What is the appropriate conclusion for this test? Ho and conclude that there Do not reject Reject sufficient evidence to conclude that the mean lifetime of the lightbulbs is not equal to 700 hours. In general, Ho would be rejected for significance levels than the P-value.
Transcribed Image Text:An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a mean of 700 hours and a standard deviation of 37 hours. Test the hypothesis that μ= 700 hours against the alternative, μ#700 hours, if a random sample of 25 bulbs has an average life of 678 hours. Use a P-value in your answer. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Find the test statistic. (Round to two decimal places as needed.) Find the P-value. (Round to three decimal places as needed.) What is the appropriate conclusion for this test? Ho and conclude that there Do not reject Reject sufficient evidence to conclude that the mean lifetime of the lightbulbs is not equal to 700 hours. In general, Ho would be rejected for significance levels than the P-value.
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+ 2.9 0.9981 3.0 3.1 .07 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 0.8643 1.1 0.8665 0.8686 0.8708 0.8749 0.8729 0.8770 0.8790 0.8810 1.1 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.3 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 0.9463 0.9452 0.9474 0.9484 0.9495 0.9505 0.9515 1.6 0.9525 0.9535 0.9545 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7 0.9649 0.9656 0.9641 0.9664 0.9671 0.9693 0.9678 0.9686 0.9706 0.9699 1.8 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.0 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.2 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.3 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.4 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.5 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Transcribed Image Text:الها Areas under the Normal Curve > > 2 .00 Areas under the Normal Curve .01 .02 .03 .04 0.0129 0.4443 .01 .02 .04 z .00 .01 .02 .03 .04 .05 .06 .07 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0010 0.0009 -3.1 0.0009 0.0009 0.0008 0.0008 0.0008 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 -2.4 0.0082 0.0078 0.0075 0.0080 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3 -2.2 0.0139 0.0136 0.0132 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0.1379 -1.0 0.1841 0.1788 0.1762 0.1814 0.1736 0.1711 0.1685 0.1660 -0.9 0.1611 -0.9 0.1635 -0.8 0.2119 0.2061 0.2033 0.2005 0.2090 0.1977 0.1949 0.1922 0.1894 -0.8 0.1867 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.6 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.5 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.4 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.3 -0.2 0.4207 0.4090 0.4013 0.3974 0.4168 0.3897 0.4129 0.3859 -0.2 0.4052 0.3936 0.4602 0.4483 -0.1 0.4562 0.4364 0.4522 0.4325 0.4286 0.4404 -0.1 0.4247 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 -0.0 .00 .03 .05 .06 .07 .08 .08 .09 2 0.0003 0.0002 -3.4 0.0004 0.0003 -3.3 0.0005 0.0005 -3.2 0.0008 0.0007 0.0007 -3.1 0.0011 0.0010 0.0010 -3.0 0.0015 0.0014 0.3 0.0021 0.0020 0.0014 -2.9 0.0019 -2.8 1.6 1.7 1.8 1.9 2.1 1 + 2.9 0.9981 3.0 3.1 .07 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 0.8643 1.1 0.8665 0.8686 0.8708 0.8749 0.8729 0.8770 0.8790 0.8810 1.1 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.3 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 0.9463 0.9452 0.9474 0.9484 0.9495 0.9505 0.9515 1.6 0.9525 0.9535 0.9545 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7 0.9649 0.9656 0.9641 0.9664 0.9671 0.9693 0.9678 0.9686 0.9706 0.9699 1.8 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.0 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.2 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.3 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.4 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.5 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9963 0.9964 0.9962 2.6 0.9965 2.7 0.9966 0.9967 0.9968 0.9970 0.9969 0.9971 0.9972 0.9973 0.9974 2.7 回 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.8 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9990 0.9991 .05 .06 .08 .09 0.5359 0.0 0.5753 0.1 0.6141 0.2 0.9985 0.9986 0.9986 2.9 A 3.2 3.3 A 3.4 0.9991 0.9991 0.9992 0.9992 0.9992 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.2 0.9989 0.9990 0.9990 3.0 0.9992 0.9993 0.9993 3.1 2 0.9995 0.9995 0.9997 0.9997 .00 .01 0.9995 0.9996 0.9997 0.9997 .02 .03 0.9996 0.9996 0.9997 0.9997 0.9996 0.9997 .04 .05 .06 0.9996 0.9996 0.9997 0.9997 .07 .08 0.9997 0.9998 .09 3.3 3.4 .09 2
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