A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 6 cars has a mean gas mileage of 22 mpg and a standard deviation of 5 mpg. At a=0.05, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table. Click here to view page 1 of the normal table. Click here to view page 2 of the normal table. Which sampling distribution should be used and why? OA. Use a t-sampling distribution because the population is normal, and a is unknown. OC. Use a normal sampling distribution because n> 30. OE. Use a normal sampling distribution because the population is normal, and a is known. B. Use a t-sampling distribution because n<30. D. Use a normal sampling distribution because the population is normal, and a is unknown. OF. Use a t-sampling distribution because the population is normal, and a is known.
A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 6 cars has a mean gas mileage of 22 mpg and a standard deviation of 5 mpg. At a=0.05, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table. Click here to view page 1 of the normal table. Click here to view page 2 of the normal table. Which sampling distribution should be used and why? OA. Use a t-sampling distribution because the population is normal, and a is unknown. OC. Use a normal sampling distribution because n> 30. OE. Use a normal sampling distribution because the population is normal, and a is known. B. Use a t-sampling distribution because n<30. D. Use a normal sampling distribution because the population is normal, and a is unknown. OF. Use a t-sampling distribution because the population is normal, and a is known.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:s
K
A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe
the claim is incorrect and find that a random sample of 6 cars has a mean gas mileage of 22 mpg and a standard
deviation of 5 mpg. At a = 0.05, test the company's claim. Assume the population is normally distributed.
Click here to view the t-distribution table.
Click here to view page 1 of the normal table.
Click here to view page 2 of the normal table.
Which sampling distribution should be used and why?
OA. Use a t-sampling distribution because the
population is normal, and a is unknown.
OC. Use a normal sampling distribution because
n> 30.
OE. Use a normal sampling distribution because the
population is normal, and a is known.
t-Distribution Table
d.f.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
45
50
60
70
80
90
100
500
1000
Level of
confidence, c
One tail, a
Two tails, a
OB. Use a t-sampling distribution because n < 30.
OD. Use a normal sampling distribution because the
population is normal, and a is unknown.
OF.
Use a t-sampling distribution because the
population is normal, and is known.
0.98
0.99
0.80
0.10 0.05
0.005
0.20 0.10
0.01
0.90 0.95
0.025 0.01
0.05 0.02
d.f.
3.078 6.314 12.706 31.821 63.657 1
1.886 2.920 4.303 6.965 9.925 2
1.638 2.353 3.182 4.541 5.841 3
1.533 2.132 2.776 3.747 4.604 4
1.476 2.015 2.571
3.365 4.032 5
1.440 1.943 2.447 3.143
3.707
6
1.415 1.895 2.365 2.998 3.499 7
1.383 1.833 2.262
1.397 1.860 2.306 2.896 3.355 8
2.821 3.250 9
3.169 10
1.372 1.812 2.228 2.764
1.363 1.796 2.201
2.718 3.106 11
1.356 1.782 2,179 2.681 3.055 12
1.350 1.771 2.160 2.650 3.012 13
1.345 1.761 2.145 2.624 2.977 14
1.341 1.753 2.131 2.602 2.947 15
1.337 1.746 2.120 2.583 2.921 16
1.333 1.740 2.110 2.567 2.898 17
1.330 1.734 2.101 2.552 2.878 18
1.328 1.729 2.093 2.539 2.861 19
1.325 1.725 2.086 2.528
2.845 20
1.323 1.721 2.080 2.518
2.831 21
1.321 1.717 2.074 2.508 2.819 22
1.319 1,714 2.069 2.500
2.807 23
1.318 1.711 2.064 2.492 2.797 24
1.316 1.708 2.060 2.485 2.787 25
1.315 1.706 2.056 2.479 2.779 26
1.314 1.703 2.052 2473 2.771 27
1.313 1.701 2.048 2.467 2.763 28
1.311 1.699 2.045 2.462 2.756 29
1.697 2.042 2.457 2.750 30
1.310
1.309 1.696 2.040
2.453 2.744 31
1.309 1.694 2,037
2,449 2.738 32
1.308 1.692 2.035 2.445 2.733 33
1.307 1.691 2.032 2,441 2.728 34
1.306 1,690 2.030 2,438 2.724 35
1.306 1.688 2.028 2,434 2.719 36
2.715 37
2.712 38
1.305 1.687 2.026 2,431
1.304 1.686 2.024 2.429
1.304 1.685 2.023 2.426 2.708 39
1.303 1.684 2.021
2,423 2.704 40
1.301 1.679 2014 2.412 2.690 45
1.299 1.676 2.009 2.403 2.678 50
1.296 1.671 2.000
2.390 2.660 60
1.294 1.667 1.994 2.381 2.648 70
1.292 1.664 1.990 2.374 2.639 80
1.291 1.662 1.987 2.368 2.632 90
1.290 1.660 1.984 2.364 2.626 100
1.283 1.648 1.965
2.334 2.586 500
1.282
1.282
1.646 1.962 2.330
1.645 1.960 2.326
2.581 1000
2.576
X
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