Problem 5: A total of 6 measurements are made of the mass of an injected molded...

Problem 5: A total of 6 measurements are made of the mass of an injected molded part. The measurements are: [2.68 kg 2.66 kg 2.16 kg 2.12 kg 2.50 kg 2.96 kg] a) Determine the average mass based on the measurements. (5 points) b) Determine the uncertainty in the mass at a 95% confidence interval based on the measurements. (10 points) c) Determine the uncertainty in the estimated mean at a 95% confidence interval based on the measurements. (5 points) d) Determine the 95% confidence interval for the true standard deviation value based on the measurements. (10 points)

Expert Solution

samet mamat answered 2 years ago

The length of an injected-molded plastic case that holds tape is normally distributed with a mean...

The length of an injected-molded plastic case that holds tape is normally distributed with a mean length=90.2 millimeters and a standard deviation of 0.1 millimeter. What is the proportion of the molded plastic cases that fall between 90.3 millimeters and 89.7 millimeters?

A morsel of food with a mass of 3.4 g is injected into the esophagus with...

A morsel of food with a mass of 3.4 g is injected into the esophagus with an initial speed of 2.7 cm/s. On the way down to the stomach, the walls of the esophagus exert an upward resistive force of 2.7 ✕ 10-3 N on the morsel. If the esophagus is 18.0 cm long, with what speed does the morsel of food enter the stomach? m/s

n = 8 measurements: 5, 3, 6, 7, 6, 5, 4, 7 Calculate the sample variance,...

n = 8 measurements: 5, 3, 6, 7, 6, 5, 4, 7 Calculate the sample variance, s2, using the definition formula. (Round your answer to four decimal places.) s2 = Calculate the sample variance, s2 using the computing formula. (Round your answer to four decimal places.) s2 = Find the sample standard deviation, s. (Round your answer to three decimal places.) s =

mass spectral measurements were made on 10 replicate low concentration Ni-EDTA samples: 146.9 , 111.5 ,...

mass spectral measurements were made on 10 replicate low concentration Ni-EDTA samples: 146.9 , 111.5 , 125.7 , 140.7 , 109.7 , 179.1 , 130.7 , 135.3 , 124.7 , and 142.3 counts. Ten measurements of a blank had a mean measurement of 38.3 counts. A sample containing 2.00 μM Ni-EDTA gave a measurement of 1597 counts. Estimate the signal and detection limit for Ni-EDTA.

Consider the following. n = 8 measurements: 4, 3, 7, 8, 5, 6, 4, 6 Calculate...

Consider the following. n = 8 measurements: 4, 3, 7, 8, 5, 6, 4, 6 Calculate the sample variance, s2, using the definition formula. (Round your answer to four decimal places.) s2 = Calculate the sample variance, s2 using the computing formula. (Round your answer to four decimal places.) s2 = Find the sample standard deviation, s. (Round your answer to three decimal places.) s =

KHP mass measurements Titration of KHP with NaOH Initial (g) Final (g) Total (g) Initial NaOH...

KHP mass measurements Titration of KHP with NaOH Initial (g) Final (g) Total (g) Initial NaOH vol. (mL) Final NaOH vol. (mL) Total NaOH sol’n (mL) NaOH molarity (molarity) 73.9473 74.1675 0.2202 1.69 22.32 20.63 0.0523 97.6215 97.8296 0.2081 3.76 23.32 19.56 0.0521 95.8243 96.0261 0.2018 1.23 20.62 19.39 0.0510 From the sample volume and distances to the first and second equivalence points, calculate the molarities of hydrochloric and phosphoric acids in the sample. GIve uncertainties for the calculated molarities....

Problem 1. A set of 25 measurements consists of the values 3 6 7 15 12...

Problem 1. A set of 25 measurements consists of the values 3 6 7 15 12 6 8 4 5 6 5 12 1 3 3 7 5 10 8 3 9 2 6 1 5 (a) Construct a relative frequency histogram to describe the data. (10 pts) (b) Find: the median m (5 pts), the sample mean ¯x (5 pts), the sample standard deviation s (5 pts), the upper and lower quartiles (10 pts), the 37-th percentile (5 pts)....

Robot No. 5 (mass 273kg) and Prisoner No. 6 (mass 66kg) stand on a frictionless ice...

Robot No. 5 (mass 273kg) and Prisoner No. 6 (mass 66kg) stand on a frictionless ice rink, both holding a rope. The robot is at x = −3m and the prisoner is at x = 17m. The robot starts winding up the rope. Considering the two of them plus the rope as a system, there are no external horizontal forces on either of them. When the rope is fully wound, where do No. 5 and No. 6 meet?

Mass Springs Systems problem (Differential Equations) A mass weighing 6 pounds, attached to the end of...

Mass Springs Systems problem (Differential Equations) A mass weighing 6 pounds, attached to the end of a spring, stretches it 6 inches. If the weight is released from rest at a point 4 inches below the equilibrium position, the system is immersed in a liquid that imparts a damping force numerically equal to 3 times the instantaneous velocity, solve: a. Deduce the differential equation which models the mass-spring system. b. Calculate the displacements of the mass ? (?) at all...

Problem 3: [5 pts.]In order to investigate if the systolic blood pressure measurements vary in standing...

Problem 3: [5 pts.]In order to investigate if the systolic blood pressure measurements vary in standing and lying positions the systolic blood pressure levels of sample of 12 persons were measured in both positions (first in standing position and then in lying position). The data of this experiment are recorded in SSPS file Assn1Q3.sav. A researcher believes the mean systolic blood pressure level in standing position is more than that in lying position. Test the appropriate hypothesis to investigate the...

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