Ask Question
25 December, 18:22

A bottler of drinking water fills plastic bottles with a mean volume of 1001 milliliters (ml) and standard deviation of 6 ml. the fill volumes are normally distributed. what proportion of bottles have volumes less than 1001 ml?

+5
Answers (1)
  1. 25 December, 19:14
    0
    The formula for z-score is:

    z-score = (X - μ) / σ

    where,

    X = sample

    μ = mean = 1001

    σ = standard deviation = 6

    Since we are looking for volumes less than 1001 mL, let us use 1000.5 mL for X.

    z-score = (1000.5 - 1001) / 6

    z-score = - 0.083

    Referring to the standard distribution table for z-test, this corresponds to:

    p = 0.4681

    So 46.81% of the bottles are less than 1001 mL.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A bottler of drinking water fills plastic bottles with a mean volume of 1001 milliliters (ml) and standard deviation of 6 ml. the fill ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers