C. 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 considers that their mean value is 10K2. The data measured is displayed in a frequency distribution as follows: Resistance (R) KO 9.6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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hello i need help in part c subparts 4 and 5 please

C. 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 considers that their mean
value is 10K2. The data measured is displayed in a frequency distribution as follows:
Resistance (R) KO
9.6 <R< 9.7
9.7<R<9.8
9.8 <R<9.9
9.9 <R< 10
10.0<R 10.1
10.1 <R< 10,2
10.2 <RS 10.3
10.3 <R< 10.4
frequency
1
2
17
18
5
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 Kn.
ii. A randomly chosen resistor will be greater than 9.5 K2 and smaller than 10.3K2.
5. The supplier considers that the mean resistance for all purchased resistors is equal to 10 K2;
using the data and measurements which you have made on 50 resistors, you have provided a
new claim that the mean is not equal to 10 K2, test this hypothesis; select an appropriate test
and conduct it using two different level of significance a 0.05 and 0.01, interpret the results
in both cases.
Transcribed Image Text:C. 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 considers that their mean value is 10K2. The data measured is displayed in a frequency distribution as follows: Resistance (R) KO 9.6 <R< 9.7 9.7<R<9.8 9.8 <R<9.9 9.9 <R< 10 10.0<R 10.1 10.1 <R< 10,2 10.2 <RS 10.3 10.3 <R< 10.4 frequency 1 2 17 18 5 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 Kn. ii. A randomly chosen resistor will be greater than 9.5 K2 and smaller than 10.3K2. 5. The supplier considers that the mean resistance for all purchased resistors is equal to 10 K2; using the data and measurements which you have made on 50 resistors, you have provided a new claim that the mean is not equal to 10 K2, test this hypothesis; select an appropriate test and conduct it using two different level of significance a 0.05 and 0.01, interpret the results in both cases.
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