The 95% confidence interval for the average apple weight is (119.14, 125.86).
According to one manufacturer, an apple normally weighs 120 grams with a 12-gram standard variation. According to figures derived from a sample of 49 apples randomly selected from a shipment, an apple weighed 122. 5 grams on average.
Let, n = 49
x = 122.5
σ = 12
To calculate and interpret a 95% confidence interval for the average apple weight, use the formula;
⇒ (x ± 1.96*σ/√n)
⇒ (122.5 ± 1.96*12/√49)
⇒ (119.14, 125.86)
Consequently, the average apple weight has a 95% confidence interval of (119.14, 125.86).
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