question archive A simple random sample from a population with a normal distribution of 100 body temperatures has x bar=98
A simple random sample from a population with a normal distribution of 100 body temperatures has x bar=98
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A simple random sample from a population with a normal distribution of 100 body temperatures has x bar=98.50 F° and s=0.64 F°. Construct an 80% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Is it safe to conclude that the population standard deviation is less than 2.10 F°?
F° < σ < F°
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Answer:
|
Confidence Interval Estimate for the Mean |
|
|
Data |
|
|
Sample Standard Deviation |
0.64 |
|
Sample Mean |
98.5 |
|
Sample Size |
100 |
|
Confidence Level |
80% |
|
Intermediate Calculations |
|
|
Standard Error of the Mean |
0.064 |
|
Degrees of Freedom |
99 |
|
t Value |
1.2902 |
|
Interval Half Width |
0.0826 |
|
|
|
|
Confidence Interval |
|
|
Interval Lower Limit |
98.42 |
|
Interval Upper Limit |
98.58 |
