confidence interval for the mean battery life in the new model is [7.9489, 8.3045].
What is confidence interval ?
A confidence interval, in statistics, refers to the chance that a population parameter can fall between a collection of values for an exact proportion of times.
Main body:
Formula for confidence interval is =
CI = x- bar ± z*s/√n where,
CI = confidence interval
x- bar = sample mean
z = confidence level value
{s} = sample standard deviation
{n} = sample size
given ;
n = 6
mean = (8.23+7.89+8.14+8.25+8.30+ 7.95)/6
= 8.127
value of z for 95% C.I. = 1.96
C.I. = 8.127 ± 1.96 * 0.22/√6
C.I. = 8.127 ± 0.1781
C.I. =[7.9490, 8.3044]
Hence correct option is A.
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