a 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. a preliminary sample standard deviation is 1.5. the smallest sample size n that provides the desired accuracy is a) 97 b) 91 c) 109 d) 101 e) 93 f) none of the above

Respuesta :

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

https://brainly.com/question/14018786

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