listed below are the measured radiation emissions in Wkg co

listed below are the measured radiation emissions ( in W/kg) corresponding to certain cell phones. Construct a 90% confidence interval estimate of the population mean radiation emissions.
.38 .55 1.54 1.55 .5 .6 .92 1.0 .86 1.46
give the point estimate:
distribution chosen:
reason for choosing distribution:
symbolic form of confidence interval:
explanatory sentence:

Solution

CI = x ± t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
CI = Confidence Interval
Point of estimate = Mean(x)=0.936
Standard deviation( sd )=0.446
Sample Size(n)=10
Confidence Interval = [ 0.936 ± t a/2 ( 0.446/ Sqrt ( 10) ) ]
= [ 0.936 - 1.833 * (0.141) , 0.936 + 1.833 * (0.141) ]
= [ 0.677,1.195 ]
Interpretations:
1) We are 90% sure that the interval [-7.8646 , -3.9353] contains the
true population mean
2) If a large number of samples are collected, and a confidence interval is created
for each sample, 95% of these intervals will contain the true
population mean