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WARRIOR [948]
3 years ago
9

A 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A prelimina

ry sample standard deviation is 3.8. The smallest sample size n that provides the desired accuracy is
Mathematics
1 answer:
serious [3.7K]3 years ago
7 0

Answer:

Sample size should be atleast 617

Step-by-step explanation:

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 = 3.8

For 95% assuming sample size large we can use z critical value

Z critical = 1.96

we have

1.96 * std error 616.3634

Sample size should be atleast 617 to get an accurate margin of error 0.3

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