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It has been estimated that the 1991 G-car obtains a mean of 35 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds the estimate in highway driving. To support its assertion, the company randomly selects 49 1991 G-cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: x= 36.5 miles per gallon, s = 7 miles per gallon. a. Find the observed significance level for testing Ho: u = 35 vs. Hạ: H> 35. b. For what value of significance level a , you will reject the null hypothesis.

It has been estimated that the 1991 G-car obtains a mean of 35 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds the estimate in highway driving. To support its assertion, the company randomly selects 49 1991 G-cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: x= 36.5 miles per gallon, s = 7 miles per gallon. a. Find the observed significance level for testing Ho: u = 35 vs. Hạ: H> 35. b. For what value of significance level a , you will reject the null hypothesis.

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
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Table II Normal Curve Areas .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .0319 .0359 .0478 .0871 .0596 .0987 .0438 .0517 .0910 .1293 .0675 .1064 .0714 .1103 .1480 .1 .0398 .0557 .0636 .0753 .2 .0793 .0832 .0948 .1026 .1141 .3 .1179 .1217 .1255 .1331 .1368 .1406 .1443 .1517 .1844 .2190 .4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1879 .5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2224 .6 .2257 .2291 .2324 .2357 .2389 .2422 .2454 .2486 .2517 .2549 .2794 .3078 .2580 .2673 .2967 .7 .2611 .2642 .2704 .2734 .2764 .2823 .2852 .3051 .3315 .8 .2881 .2910 .2939 .2995 3023 .3106 .3133 .3340 .3577 .3264 3289 .3365 .3599 .9 .3159 .3186 .3212 .3238 .3389 1.0 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3621 1.1 .3643 .3665 .3686 .3708 .3729 .3749 .3770 .3790 .3810 .3830 .3849 .4032 .4192 1.2 .3869 .3888 .3907 3925 .3944 .3962 .3980 .3997 .4015 4162 .4306 1.3 .4049 .4066 .4082 .4099 .4115 .4131 .4147 .4177 .4222 .4357 1.4 .4207 .4236 .4251 .4265 .4279 .4292 .4319 1.5 4332 .4345 .4370 .4382 .4394 .4406 4418 4429 .4441 1.6 .4452 .4463 .4474 .4484 .4495 .4505 .4515 4525 4535 .4545 1.7 .4554 .4564 .4573 .4582 .4591 .4599 .4608 .4616 .4625 .4633 .4678 .4744 1.8 .4641 .4671 .4738 .4649 .4656 .4664 .4686 .4693 .4699 .4706 1.9 .4713 .4719 .4726 .4732 .4750 .4756 4761 .4767 2.0 .4772 .4778 .4783 .4788 .4793 4798 .4803 .4808 .4812 .4817 2.1 .4821 .4826 .4830 .4834 .4838 .4842 .4846 .4850 .4854 .4857 .4864 .4896 2.2 .4861 .4868 4871 .4875 .4878 .4881 .4884 .4887 .4890 .4904 .4927 2.3 .4893 .4898 .4901 .4906 .4909 .4911 .4913 .4916 .4925 .4943 .4932 .4949 2.4 .4918 .4920 .4922 4929 .4931 .4934 .4936 2.5 .4938 .4940 .4941 .4945 .4946 .4948 .4951 .4952
Transcribed Image Text:Table II Normal Curve Areas .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .0319 .0359 .0478 .0871 .0596 .0987 .0438 .0517 .0910 .1293 .0675 .1064 .0714 .1103 .1480 .1 .0398 .0557 .0636 .0753 .2 .0793 .0832 .0948 .1026 .1141 .3 .1179 .1217 .1255 .1331 .1368 .1406 .1443 .1517 .1844 .2190 .4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1879 .5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2224 .6 .2257 .2291 .2324 .2357 .2389 .2422 .2454 .2486 .2517 .2549 .2794 .3078 .2580 .2673 .2967 .7 .2611 .2642 .2704 .2734 .2764 .2823 .2852 .3051 .3315 .8 .2881 .2910 .2939 .2995 3023 .3106 .3133 .3340 .3577 .3264 3289 .3365 .3599 .9 .3159 .3186 .3212 .3238 .3389 1.0 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3621 1.1 .3643 .3665 .3686 .3708 .3729 .3749 .3770 .3790 .3810 .3830 .3849 .4032 .4192 1.2 .3869 .3888 .3907 3925 .3944 .3962 .3980 .3997 .4015 4162 .4306 1.3 .4049 .4066 .4082 .4099 .4115 .4131 .4147 .4177 .4222 .4357 1.4 .4207 .4236 .4251 .4265 .4279 .4292 .4319 1.5 4332 .4345 .4370 .4382 .4394 .4406 4418 4429 .4441 1.6 .4452 .4463 .4474 .4484 .4495 .4505 .4515 4525 4535 .4545 1.7 .4554 .4564 .4573 .4582 .4591 .4599 .4608 .4616 .4625 .4633 .4678 .4744 1.8 .4641 .4671 .4738 .4649 .4656 .4664 .4686 .4693 .4699 .4706 1.9 .4713 .4719 .4726 .4732 .4750 .4756 4761 .4767 2.0 .4772 .4778 .4783 .4788 .4793 4798 .4803 .4808 .4812 .4817 2.1 .4821 .4826 .4830 .4834 .4838 .4842 .4846 .4850 .4854 .4857 .4864 .4896 2.2 .4861 .4868 4871 .4875 .4878 .4881 .4884 .4887 .4890 .4904 .4927 2.3 .4893 .4898 .4901 .4906 .4909 .4911 .4913 .4916 .4925 .4943 .4932 .4949 2.4 .4918 .4920 .4922 4929 .4931 .4934 .4936 2.5 .4938 .4940 .4941 .4945 .4946 .4948 .4951 .4952
It has been estimated that the 1991 G-car obtains a mean of 35 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds the estimate in highway driving. To support its assertion, the company randomly selects 49 1991 G-cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: x = 36.5 miles per gallon, s = 7 miles per gallon. %3D a. Find the observed significance level for testing Ho: u= 35 vs. Ha: u> 35. %3D b. For what value of significance level a, you will reject the null hypothesis.
Transcribed Image Text:It has been estimated that the 1991 G-car obtains a mean of 35 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds the estimate in highway driving. To support its assertion, the company randomly selects 49 1991 G-cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: x = 36.5 miles per gallon, s = 7 miles per gallon. %3D a. Find the observed significance level for testing Ho: u= 35 vs. Ha: u> 35. %3D b. For what value of significance level a, you will reject the null hypothesis.
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