The acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 50 ten-gram portions of the food item results in a sample mean of x=5.7 insect fragments per ten-gram portion. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). A. The sampling distribution is approximately normal because the sample size is large enough. OB. The sampling distribution is approximately normal because the popluation is normally distributed. OC. The sampling distribution is assumed to be approximately normal. OD. The sampling distribution is approximately normal because the population is normally distributed and the sample size is large enough. (b) What is the mean and standard deviation of the sampling distribution of x assuming μ = 5 and a = √5? H = 5 (Round to three decimal places as needed.) -= 0.316 (Round to three decimal places as needed.) (c) What is the probability a simple random sample of 50 ten-gram portions of the food item results in a mean of at least 5.7 insect fragments? P(x 25.7) = (Round to four decimal places as needed.)
The acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 50 ten-gram portions of the food item results in a sample mean of x=5.7 insect fragments per ten-gram portion. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). A. The sampling distribution is approximately normal because the sample size is large enough. OB. The sampling distribution is approximately normal because the popluation is normally distributed. OC. The sampling distribution is assumed to be approximately normal. OD. The sampling distribution is approximately normal because the population is normally distributed and the sample size is large enough. (b) What is the mean and standard deviation of the sampling distribution of x assuming μ = 5 and a = √5? H = 5 (Round to three decimal places as needed.) -= 0.316 (Round to three decimal places as needed.) (c) What is the probability a simple random sample of 50 ten-gram portions of the food item results in a mean of at least 5.7 insect fragments? P(x 25.7) = (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 50 ten-gram portions of the food item is obtained and
results in a sample mean of x = 5.7 insect fragments per ten-gram portion. Complete parts (a) through (c) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
A. The sampling distribution is approximately normal because the sample size is large enough.
OB. The sampling distribution is approximately normal because the popluation is normally distributed.
OC. The sampling distribution is assumed to be approximately normal.
O D. The sampling distribution is approximately normal because the population is normally distributed and the sample size is large enough.
(b) What is the mean and standard deviation of the sampling distribution of x assuming μ = 5 and o = √5?
H = 5 (Round to three decimal places as needed.)
= 0.316 (Round to three decimal places as needed.)
(c) What is the probability a simple random sample of 50 ten-gram portions of the food item results in a mean of at least 5.7 insect fragments?
P(x ≥ 5.7) = (Round to four decimal places as needed.)
Transcribed Image Text:The length of human pregnancies is approximately normal with mean μ = 266 days and standard deviation = 16 days. Complete parts (a) through (f).
Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).
(a) What is the probability that a randomly selected pregnancy lasts less than 261 days?
The probability that a randomly selected pregnancy lasts less than 261 days is approximately
(Round to four decimal places as needed.)
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