Question

In: Statistics and Probability

50 resistors from a lot of 75000 were tested. The average was 3,306 ohms with a...

50 resistors from a lot of 75000 were tested. The average was 3,306 ohms with a variance of 21609 ohm2. From this information, we may conclude with 99% Confidence, that at least 95% of this lot will have resistance values in the range of?

Solutions

Expert Solution

Solution-

Given that

Sample size = 50

Sample mean = 3306 ohm

Sample variance = 21609 ohm2

sample standard deviation = 147 ohm

  • 99 % Confidence interval

99% Confidence, that at least 99% of this lot will have resistance values in the range of ( 3250.287 , 3361.713 )

  • 95 % Confidence interval

we may conclude with 95% Confidence, that at least 95% of this lot will have resistance values in the range of

( 3264.223 , 3347.777 )


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