The confidence interval for the one-way analysis of variance experiment be, (138.94 , 181.06) and the margin of error of the poll be,
±31.06.
On Subtracting 1 from your sample size, we get
330 – 1 = 229.
On Subtracting confidence level from 1, and then divide by two.
(1 – .95) / 2 = 0.025
Now, df = 229 and α = 0.025
from the table at df = 999 we got 2.262.
Divide your sample standard deviation by the square root of your sample size.
150 / √(330) = 1.37
Now, 2.262 × 1.37 = 31.06
So, the confidence interval be,
(150 - 31.06 , 150 + 31.06) = (138.94 , 181.06)
Hence, the confidence interval for the one-way analysis of variance experiment be, (138.94 , 181.06) and the margin of error of the poll be,
±31.06.
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