Question

Sixteen Independent measurements were made of the resistance of a resistor. The average was 52.37 and...

Sixteen Independent measurements were made of the resistance of a resistor. The average was 52.37 and the standard deviation was 0.12.

a) Estimate the resistance of this resistor, and find the uncertainty in the estimate.

b) A single measurement is made of the resistance of another resistor. This measurement is 61.42. What is the uncertainty in this measurement.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
What is the standard deviation of the average of ? independent measurements (i.e., ?,?,?,⋯,? ,⋯,?) whose...
What is the standard deviation of the average of ? independent measurements (i.e., ?,?,?,⋯,? ,⋯,?) whose standard deviations are (?,? ,? ,⋯,? ,⋯,? )? What will be the standard deviation if ?=? =? =⋯=? =⋯=? =? ?
Deciding how to manipulate samples and how many measurements must be made are often determined by...
Deciding how to manipulate samples and how many measurements must be made are often determined by the precision required in the final result. Consider the situation with 50 total samples taken from a stream. For this exercise, one may assume all 50 samples have the same composition. The sampling standard deviation (i.e. the variation due strictly to measuring different samples) is 0.3 μg/mL, while the mean value of the analyte concentration to be measured is 7.20 μg/mL. The standard deviation...
1. Why do we need to use a weighted average for the measurements made with the...
1. Why do we need to use a weighted average for the measurements made with the caliper? How much does your weighted average differ from a non-weighted average? 2. When can you replace a weighted average with a non-weighted average and why? 3. The statistical analysis method assumes that all of your measurements are independent of each other and randomly distributed about the best estimate for the mean. Is this a valid assumption?
We want to measure the perimeter of a rectangle ABCD. The error made in measuring the...
We want to measure the perimeter of a rectangle ABCD. The error made in measuring the sides AB and CD has standard deviation 3cm. The error made in measuring the sides BC and AD has standard deviation 2cm. Assume that the errors made in measuring the four sides are independent random variables. (a) What is the standard deviation for the error of measurement of the perimeter of the rectangle if we measure sides AB and BC and multiply the sum...
A engineer picks 16 resistors at random and measures their resistance with an analog multimeter: 98.1,...
A engineer picks 16 resistors at random and measures their resistance with an analog multimeter: 98.1, 99.3, 97.3, 98.2, 98.6, 97.3, 99.2, 98.3, 98.4, 97.9, 98.7, 97.4, 99.0, 99.1, 98.1, and 96.8 Ω The resistor manufacturer reports that the “true” mean is 98.0 Ω. a) Calculate the mean, sample standard deviation, and bias error in these measurements. Report the resistance measurement statistic in standard engineering form. No need to show individual steps for mean and standard deviation calculation. b) Identify...
A engineer picks 16 resistors at random and measures their resistance with an analog multimeter: 98.1,...
A engineer picks 16 resistors at random and measures their resistance with an analog multimeter: 98.1, 99.3, 97.3, 98.2, 98.6, 97.3, 99.2, 98.3, 98.4, 97.9, 98.7, 97.4, 99.0, 99.1, 98.1, and 96.8 Ω The resistor manufacturer reports that the “true” mean is 98.0 Ω. a) Calculate the mean, sample standard deviation, and bias error in these measurements. Report the resistance measurement statistic in standard engineering form. No need to show individual steps for mean and standard deviation calculation. b) Identify...
2. You are using a digital multimeter (DMM) to measure the voltage across a resistor. The...
2. You are using a digital multimeter (DMM) to measure the voltage across a resistor. The values displayed on the DMM vary, with five consecutive values being 2.412, 2.432, 2.418, 2.422, and 2.416 V (this happens even though no connections are changing). These fluctuations give rise to an uncertainty in the measured value of resistance. a) (1 point) One method of quantifying the uncertainty in the measurement is to take half of the range of the largest fluctuating digit. Using...
(15.08) A government sample survey plans to measure the LDL (bad) cholesterol level of an SRS...
(15.08) A government sample survey plans to measure the LDL (bad) cholesterol level of an SRS of men aged 20 to 34. The researchers will report the mean x¯¯¯x¯ from their sample as an estimate of the mean LDL cholesterol level μμ in this population. Step 1: Explain to someone who knows no statistics what it means to say that x¯¯¯x¯ is an unbiased estimator of μμ a. x is systematically higher than or lower than μ. b. x is...
2. A scientist averages several measurements to estimate the average depth of a river. He wants...
2. A scientist averages several measurements to estimate the average depth of a river. He wants to be 90% confident that his estimate is accurate to within 0.4 foot. The population standard deviation of the depths measured is σ = 4.5 feet. Find the number of measurements, n, to be included in the sample. A 90% confidence requires ___________ measurements. If the confidence level is changed to 99%, find the number of measurements, n, to be included in the sample....
Six measurements were made of the mineral content of spinach, with the following results. Assuming that...
Six measurements were made of the mineral content of spinach, with the following results. Assuming that the population is normally distributed, construct a 99% confidence interval for the population standard deviation of the mineral content of spinach, and write a sentence that interprets the interval. 19.1 20.8 20.8 21.4 20.5 19.7
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT