Question

If n=32,

x
ˉ
=26.2,σ=5.15,α=0.05 :answer the following Two questions Q8. The confidence interval for the population mean is A) (26,08,26.32) B) (24.42,27.98) C) (24.42,27.56) D) (23.95,28.54) Q9. The maximum error (the margin of error) of the estimation "E" is: A) 1.78 B) 0.78 C) 1.96 D) 0.62

Answer 1

1st: B) {24.42,27.98}

2nd: A) 1.78

Explanation:

`CI_(95\%)=26.2\pm1.96((5.15)/(√(32)))\approx26.2\pm1.78=\{24.42,27.98\}`

Therefore, the 95% confidence interval would be option B, and the margin of error would be option A