a) A certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms. Assuming that the resistance follows a normal distribution and can be measured to any degree of accuracy, what percentage of resistors will have a resistance exceeding 43 ohms?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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a) A certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms. Assuming that the resistance follows a normal distribution and can be measured to any degree of accuracy, what percentage of resistors will have a resistance exceeding 43 ohms?

b) Tartus Industries has seven production employees (considered the population). The hourly earnings of each employee are given in the following table.

 

Employee

Joe

Sue

Sam

Jon

Bob

Art

Ted

Earning($)

14

14

16

16

14

16

18

1. What is the population mean?

2. What is the sampling distribution of the sample mean for samples of size 2?

3. What is the mean of the sampling distribution?

4. What observations can be made about the population and the sampling distribution?

kindly solve all the parts. 

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