An engineer tested 10 samples of a prototype design for bearings in a wheel. These 10 represent all the samples that are possible. She tabulated the number of hours it took for the bearings to fail under stress. Sample Design 8.1 2. 7.9 8.0 3 4 8.1 7.8 6. 8.2 8.4 8. 8.1 9. 7.7 10 8.3
An engineer tested 10 samples of a prototype design for bearings in a wheel. These 10 represent all the samples that are possible. She tabulated the number of hours it took for the bearings to fail under stress. Sample Design 8.1 2. 7.9 8.0 3 4 8.1 7.8 6. 8.2 8.4 8. 8.1 9. 7.7 10 8.3
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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![An engineer tested 10 samples of a prototype design for bearings in a wheel. These 10 represent
all the samples that are possible. She tabulated the number of hours it took for the bearings to
fail under stress.
Sample
Design
8.1
1
2
7.9
8.0
4
8.1
7.8
8.2
8.4
6.
8.
6.
10
8.1
7.7
8.3
a) Calculate Hz.
b) What is the true population mean, u?
c) What do you need to assume in order to know this? (A single phrase will suffice).
d) Let the standard deviation, o, be .651, calculate the standard deviation of the sample means.
[Hint, do you have to calculate the whole table with (x- u; ), (F- H;), etc]?
e) What does the answer to part d) mean in words? [This is more than saying it is the standard
deviation of the sample means']
f) Why is standard deviation of the sample means smaller than o ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9ff3616-361e-41ff-bd24-ad1fe99bbb43%2F7730b0e7-dbe2-46cf-a970-41a64b2ea595%2Fbt7wt5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An engineer tested 10 samples of a prototype design for bearings in a wheel. These 10 represent
all the samples that are possible. She tabulated the number of hours it took for the bearings to
fail under stress.
Sample
Design
8.1
1
2
7.9
8.0
4
8.1
7.8
8.2
8.4
6.
8.
6.
10
8.1
7.7
8.3
a) Calculate Hz.
b) What is the true population mean, u?
c) What do you need to assume in order to know this? (A single phrase will suffice).
d) Let the standard deviation, o, be .651, calculate the standard deviation of the sample means.
[Hint, do you have to calculate the whole table with (x- u; ), (F- H;), etc]?
e) What does the answer to part d) mean in words? [This is more than saying it is the standard
deviation of the sample means']
f) Why is standard deviation of the sample means smaller than o ?
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