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(d) Draw a rough normal diagram for this test statistic and compute the probability. (e) Write a sentence interpreting this probability.

(d) Draw a rough normal diagram for this test statistic and compute the probability. (e) Write a sentence interpreting this probability.

MATLAB: An Introduction with Applications
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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Historically, cyanide levels in a certain region were 100 mg/kg with standard deviation 80 mg/kg. A random sample of n = 72 soil samples were taken form this region. What is the probability that the average cyanide content of this sample is less than 84 mg/kg? (a) Verify that the assumptions for this computation are met. 1. Independence Assumption, checked by the Randomization Condition: 2. Sample Size Assumption, checked by the Large Enough Condition: (b) What are the centre and spread of the appropriate Normal distribution. E(x) SD(x) = (c) Compute the z-score for this probability. (d) Draw a rough normal diagram for this test statistic and compute the probability. (e) Write a sentence interpreting this probability.
Transcribed Image Text:Historically, cyanide levels in a certain region were 100 mg/kg with standard deviation 80 mg/kg. A random sample of n = 72 soil samples were taken form this region. What is the probability that the average cyanide content of this sample is less than 84 mg/kg? (a) Verify that the assumptions for this computation are met. 1. Independence Assumption, checked by the Randomization Condition: 2. Sample Size Assumption, checked by the Large Enough Condition: (b) What are the centre and spread of the appropriate Normal distribution. E(x) SD(x) = (c) Compute the z-score for this probability. (d) Draw a rough normal diagram for this test statistic and compute the probability. (e) Write a sentence interpreting this probability.
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