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.

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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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