The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Is there any difference in mean life of these two brands of tires? Car Brand Brand 36,925 34.318 42,280 1 45.300 36,240 3 4 35.500 32,100 31,950 38,015 37.210 48,360 5 47,800 38,200 37,810 33.500 33,215 6. 7 8. 1. Is this samples independent or paired samples? Explain. 2. Write Ho and H1 3. Calculate Test statistics(T). 4. What is the critical value (T from tables)? 5. What is your conclusions if a = 0.05? 6. Estimate with 90% confidence the different in the means. Which brand would you prefer based on this calculation?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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The manager of a fleet of automobiles is testing two brands
of radial tires and assigns one tire of each brand at random
of eight cars and runs the cars until the tires wear out. The
data (in kilometers) follow. Is there any difference in mean
life of these two brands of tires?
Car Brand
Brand
36,925
34.318
42,280
1
45.300
36,240
3
4
35.500
32,100
31,950
38,015
37.210
48,360
5
47,800
38,200 37,810
33.500 33,215
6.
7
8.
1. Is this samples independent or paired samples?
Explain.
2. Write Ho and H1
3. Calculate Test statistics(T).
4. What is the critical value (T from tables)?
5. What is your conclusions if a = 0.05?
6. Estimate with 90% confidence the different in the
means. Which brand would you prefer based on this
calculation?
Transcribed Image Text:The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Is there any difference in mean life of these two brands of tires? Car Brand Brand 36,925 34.318 42,280 1 45.300 36,240 3 4 35.500 32,100 31,950 38,015 37.210 48,360 5 47,800 38,200 37,810 33.500 33,215 6. 7 8. 1. Is this samples independent or paired samples? Explain. 2. Write Ho and H1 3. Calculate Test statistics(T). 4. What is the critical value (T from tables)? 5. What is your conclusions if a = 0.05? 6. Estimate with 90% confidence the different in the means. Which brand would you prefer based on this calculation?
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