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 60 ten-gram portions of thefood item is obtained and results in a sample mean of x = 5.3 insect fragments per ten-gram portion. Complete parts (a) through (c) below.(b) What is the mean and standard deviation of the sampling distribution of x assuming u = 5 ando = V5?%3DH; =(Round to three decimal places as needed.)o: = .289 (Round to three decimal places as needed.)(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(x25.3) =(Round to four decimal places as needed.)

Answered: (c) What is the probability a simple…

(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(x25.3) = (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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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

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 60 ten-gram portions of the
food item is obtained and results in a sample mean of x = 5.3 insect fragments per ten-gram portion. Complete parts (a) through (c) below.
(b) What is the mean and standard deviation of the sampling distribution of x assuming u = 5 ando = V5?
%3D
H; =
(Round to three decimal places as needed.)
o: = .289 (Round to three decimal places as needed.)
(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(x25.3) =
(Round to four decimal places as needed.)

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