the smallest sample size n that provides the desired accuracy is a) 97 that is Sample size should be atleast 97
given that a 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit.
i.e. margin of error <0.3
Std devition sample = 1.5
For 95% assuming sample size large we can use z critical value
Z critical = 1.96
we have
1.96*1.5/[tex]\sqrt{n}[/tex]< 0.3
9.8 < [tex]\sqrt{n}[/tex]
n> 96.04
approximate 97
Sample size should be atleast 97 to get an accurate margin of error 0.3
learn more about of interval here
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