Question
In: Statistics and Probability
Data for 64 female college athletes was collected. The data on weight (in pounds) are roughly...
Data for 64 female college athletes was collected. The data on weight (in pounds) are roughly bell shaped with x overbar equals 132x=132 and s equals 13s=13. Complete parts a and b below.
a. Give an interval within which about 68% of the weights fall.
Solutions
Expert Solution
Solution :
Given that,
Point estimate = sample mean = 
= 132
sample standard deviation = s = 13
sample size = n = 64
Degrees of freedom = df = n - 1 = 63
At 68% confidence level the t is ,
= 1 - 68% = 1 - 0.68 = 0.32
/ 2 = 0.32 / 2 = 0.16
t
/2,df = t0.16,63 = 1.002
Margin of error = E = t/2,df
* (s /
= 1.002 * (13 /
= 1.628
The 68% confidence interval is,
- E < 
<
+ E
132 - 1.628 <
< 132 + 1.628
130.312 <
< 133.628
(130.312 , 133.628)
orchestra answered 1 year agoRelated Solutions
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