Question

In: Physics

You measure the distance, l, a projectile travels several times using the same apparatus and find...

You measure the distance, l, a projectile travels several times using the same apparatus and find the following values (cm): 5.11, 4.89, 5.04, 4.94, 4.93, 5.06 and 5.09. Assuming that the errors are random: a) What is the mean value forl? b) What is the standard deviation for this data set? c) What is the uncertainty associated with your best estimate forl? d) How should one report the result of this measurement along with the uncertainty at the 95 % confidence level? e) If you desire to reduce the statistical uncertainty associated with the reported result using the same apparatus to be only 0.01 cm, how many measurements must be made?

Solutions

Expert Solution


Related Solutions

PROGRAM IN C++ The distance a vehicle travels can be calculated using the following equation: distance...
PROGRAM IN C++ The distance a vehicle travels can be calculated using the following equation: distance = speed * time For example, if a train travels 40 miles per hour for 3 hours, the distance traveled is 120 miles. Write a program that asks the user for the speed of a vehicle (in miles per hour) and how many hours it has traveled. The program should then use a loop to display the distance the vehicle has traveled for each...
You measure the oscillations of a pendulum four times, and find that it makes 15 complete...
You measure the oscillations of a pendulum four times, and find that it makes 15 complete swings in times of 8.29 s, 8.40 s, 8.30 s, and 8.41 s. What is the mean of these measurements? What is the mean deviation of these measurements? What is the standard deviation of these measurements? Your lab instructor asks you to find the period (time for one full swing) of the pendulum. You should write Hint: It is conventional to use the standard...
Explain in words and/or pictures why you can't use the same formula to find the distance...
Explain in words and/or pictures why you can't use the same formula to find the distance between a point and a line and the distance between a point and a plane. The answer should include each formula. Thanks in advance
How do you estimate or find a globular cluster’s distance? Is it a formula or using...
How do you estimate or find a globular cluster’s distance? Is it a formula or using a picture, any way?
A sporting goods company wants to measure the distance traveled by a golf ball using 3...
A sporting goods company wants to measure the distance traveled by a golf ball using 3 different designs. Using the results in the following table, determine at a 0.05 level of significance whether there is a difference in the mean distance traveled by the golf balls, and if so, indicate which are different. Clearly summarize your analysis. (You can upload a supporting Excel file or legibly handwritten solution.) Design 1 Design 2 Design 3 255 290 250 270 275 245...
A sporting goods company wants to measure the distance traveled by a golf ball using 3...
A sporting goods company wants to measure the distance traveled by a golf ball using 3 different designs. Using the results in the following table, determine at a 0.05 level of significance whether there is a difference in the mean distance traveled by the golf balls, and if so, indicate which are different. Clearly summarize your analysis. Design 1 Design 2 Design 3 255 290 250 270 275 245 260 300 240 270 295 250 265 285 255
Please show calculation using minitab During engine tests, you measure the thrust (in pounds)10 times and...
Please show calculation using minitab During engine tests, you measure the thrust (in pounds)10 times and obtain this data: 4061 3637 3215 4581 4373 4138 3701 3244 4520 4298 Can the normal distribution be used with this data? Use the Central Limit Theorem (CLT) to explain why we can or cannot assume that these values are from a normal distribution. Do you need to make any assumptions in order to apply the CLT? Calculate the mean and variance for this...
repeated measures experiments measure the same set of research participants two or more times while met...
repeated measures experiments measure the same set of research participants two or more times while met subjects experiment study participants who unmatched on one or more characteristics which of the following are true for both a repeated measures experiment and a matched subjects experiment when used to compare two treatment conditions check all that apply a matched subjects experiment produced a t statistic with a deal of eight how many subjects participated in this study boy repeated measures experiment comparing...
Several students were tested for reaction times​ (in thousandths of a​ second) using their right and...
Several students were tested for reaction times​ (in thousandths of a​ second) using their right and left hands.​ (Each value is the elapsed time between the release of a strip of paper and the instant that it is caught by the​ subject.) Results from five of the students are included in the graph to the right. Use a 0.10 significance level to test the claim that there is no difference between the reaction times of the right and left hands...
Several students were tested for reaction times​ (in thousandths of a​ second) using their right and...
Several students were tested for reaction times​ (in thousandths of a​ second) using their right and left hands.​ (Each value is the elapsed time between the release of a strip of paper and the instant that it is caught by the​ subject.) Results from five of the students are included in the graph to the right. Use a 0.02 significance level to test the claim that there is no difference between the reaction times of the right and left hands....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT