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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman