The acceptable level for insect filth in a certain food item is 55 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 6060 ten-gram portions of the food item is obtained and results in a sample mean of x overbarxequals=5.35.3 insect fragments per ten-gram portion. Complete parts (a) through (c) below. Part 1 (a) Why is the sampling distribution of x̄ approximately normal? A. The sampling distribution of x̄ is approximately normal because the sample size is large enough. Part 2 (b) What is the mean and standard deviation of the sampling distribution of x̄ assuming μ = 5 and σ = √5? μₓ̄ = 5 (Round to three decimal places as needed.) Part 3 σₓ̄ = 0.645 (Round to three decimal places as needed.) Part 4 (c) What is the probability a simple random sample of 60 ten-gram portions of the food item results in a mean of at least 5.3 insect fragments? P(x̄ ≥ 5.3) = (You need to calculate this probability)
The acceptable level for insect filth in a certain food item is 55 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 6060 ten-gram portions of the food item is obtained and results in a sample mean of x overbarxequals=5.35.3 insect fragments per ten-gram portion. Complete parts (a) through (c) below. Part 1 (a) Why is the sampling distribution of x̄ approximately normal? A. The sampling distribution of x̄ is approximately normal because the sample size is large enough. Part 2 (b) What is the mean and standard deviation of the sampling distribution of x̄ assuming μ = 5 and σ = √5? μₓ̄ = 5 (Round to three decimal places as needed.) Part 3 σₓ̄ = 0.645 (Round to three decimal places as needed.) Part 4 (c) What is the probability a simple random sample of 60 ten-gram portions of the food item results in a mean of at least 5.3 insect fragments? P(x̄ ≥ 5.3) = (You need to calculate this probability)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
The acceptable level for insect filth in a certain food item is
mean of
55
insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of
6060
ten-gram portions of the food item is obtained and results in a sample x overbarxequals=5.35.3
insect fragments per ten-gram portion. Complete parts (a) through (c) below.Part 1 (a) Why is the sampling distribution of x̄ approximately normal?
A. The sampling distribution of x̄ is approximately normal because the
Part 2 (b) What is the mean and standard deviation of the sampling distribution of x̄ assuming μ = 5 and σ = √5?
μₓ̄ = 5 (Round to three decimal places as needed.)
Part 3 σₓ̄ = 0.645 (Round to three decimal places as needed.)
Part 4 (c) What is the
P(x̄ ≥ 5.3) = (You need to calculate this probability)
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