Following an investigation of 250 households in Gombak, Kuala Lumpur, researchers discovered that, on average, 32 kg of food waste is generated every day, with a standard deviation of 4 kg. Considering a random sample of 36 households, what is the likelihood that the total amount of food waste produced will range between 31 kg and 32.5 kg? a) Find the z-value for the mean b) Find the area corresponding to the z-value c) What is the probability that the total amount of food waste produced will range between 31 kg and 32.5 kg?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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Following an investigation of 250 households in Gombak, Kuala Lumpur, researchers discovered that, on average, 32 kg of food waste is generated
every day, with a standard deviation of 4 kg. Considering a random sample of 36 households, what is the likelihood that the total amount of food
waste produced will range between 31 kg and 32.5 kg?
a) Find the z-value for the mean
b) Find the area corresponding to the z-value
c) What is the probability that the total amount of food waste produced will range between 31 kg and 32.5 kg?
Transcribed Image Text:Following an investigation of 250 households in Gombak, Kuala Lumpur, researchers discovered that, on average, 32 kg of food waste is generated every day, with a standard deviation of 4 kg. Considering a random sample of 36 households, what is the likelihood that the total amount of food waste produced will range between 31 kg and 32.5 kg? a) Find the z-value for the mean b) Find the area corresponding to the z-value c) What is the probability that the total amount of food waste produced will range between 31 kg and 32.5 kg?
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