Question
The body temperatures in degrees Fahrenheit of a sample of adults in one small town are:...
The body temperatures in degrees Fahrenheit of a sample of adults in one small town are:
| 96.6 | 99.6 | 97.8 | 99.2 | 97.4 | 98.6 | 98.8 |
Assume body temperatures of adults are normally distributed. Based
on this data, find the 95% confidence interval of the mean body
temperature of adults in the town. Enter your answer as an
open-interval (i.e., parentheses)
accurate to 1 decimal place. Assume the data is from a normally
distributed population.
95% C.I. =
Homework Answers
Answer #1
Solution :
From the given data ,
= 98.3
s = 1.1
n = 7
df = 7 - 1 = 6
t
/2,df = 2.447
Margin of error = E = t/2,df
* (s /
n)
= 2.447 * (1.1 /
7)
Margin of error = E = 1.0
The 95% confidence interval estimate of the population mean is,
- E < 
<
+ E
98.3 - 1.0 <
< 98.3 + 1.0
97.3 <
< 99.3
(97.3 , 99.3)
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