you work as a procurement engineer in a company that produces electronic device; your manager asked you to measure a sample of 50 resistors from a batch, which the supplier claims that are all 10KΩ....

you work as a procurement engineer in a company that produces electronic device; your manager asked you to measure a sample of 50 resistors from a batch, which the supplier claims that are all 10KΩ. The data measured is displayed in a frequency distribution as follows:





Resistance (R) KΩ frequency 9.6 ≤ R ≤ 9.7 1 9.7 ≤ R ≤ 9.8 2 9.8 ≤ R ≤ 9.9 5 9.9 ≤ R ≤ 10 17 10.0 ≤ R ≤ 10.1 18 10.1 ≤ R ≤ 10.2 5 10.2 ≤ R ≤ 10.3 1 10.3 ≤ R ≤ 10.4 1



After making the measurements, you manager asked you to perform several tasks: 1. Calculate the mean and standard deviation of the measured data. 2. Draw a histogram and a frequency polygon for this data. 3. Based on what you found in 1 & 2, write down a paragraph consisting of 4-5 lines maximum, explaining this statistical data to a customer who has no technical background. Do not expect the customer to understand what terms like mean, standard deviation, frequency polygon and histogram mean. 4. Assuming that the distribution of resistance is normal, find the probability that: i. A randomly chosen resistor will be greater than 10.1 KΩ. ii. A randomly chosen resistor will be greater than 9.5 KΩ and smaller than 10.3KΩ. 5. The supplier claims that the mean resistance for all purchased resistors is equal to10 KΩ; using the data and measurements which you have made on 50 resistors test this hypothesis. 6. Your manager has asked you to summarize the statistical data you have been investigating in a method that can be understood by your non-technical colleagues in the procurement department, you are required to present all this information to them in a short meaningful report.