Answer :
Margin of error for the given standard deviation is m = 5.497 , 5.703
What is standard deviation?
Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.
Main body:
formula for confidence interval is :
m = x-bar ± z* σ/√n
given information =
n = 25
σ = 0.3
mean = 5.6 ft
C.I. = 90% = 0.9
value of 0.9 in z - table = 0.816
substituting value ,
m = 5.6 ±(0.816) * 0.3/√25
m = 5.6 ± 0.103
m = 5.497 , 5.703
Hence margin of error is m = 5.497 , 5.703
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