The rare earth element gadolinium is often used as a contrasting agent for MRIS. The concentration of gadolinium was measured in the discharge from a wastewater treatment plant near a large medical facility. Eight measurements were obtained: 1.254 ppm, 1.252 ppm, 1.246 ppm, 1.242 ppm, 1.815 ppm, 1.244 ppm, 1.251 ppm, 1.249 ppm. Use the Grubbs test to determine if one of these values is an outlier. What is the value of Geale? Should this potential outlier be rejected with 95% Geale = confidence? Critical values of G can be found in this table. TOOLS x10 The potential outlier should be rejected. The potential outlier should be kept. Based on the outcome of the Grubbs test, calculate the mean (x), standard deviation (s), and 99% confidence interval for the results. A list of t values can be found in the Student'st table. ppm S = ppm confidence interval: x+ ppm

19. In AGHJ, GH=8, HJ= 10, and mZG= 120. To the nearest tenth, what is %3D %3D mZJ?

A. A patient was given a z score of 2.1 for their bone density exam. The μ = 75 and σ = 8. What is their score (X) for the exam?  B. A patient was given an exam score of X = 77. The μ = 75 and σ = 8. What is their z score for the exam?

You investigate the relationship between height and dbh (diameter at breast height) of oak trees. You get the following results: dbh (cm): 26 49 52 32 15 15 39 41 20 30 46 42 21 40 17 38 13 26 49 26height(m): 10.2 13.5 16.3 10.8 8.9 10.0 14.2 11.3 9.7 11.4 13.5 13.6 11.6 11.2 7.7 13.1 7.9 10.4 15.6 9.0 Read the data into R. (a) Calculate the following using R: ̄x , ̄y , SSx, SSy. (Note that to get SSy or SSx, you can just ask R for the variance (var) or standard deviation, and then do the appropriate calculation).(b) Perform a complete test of the hypothesis that there is no difference in height as dbh increases. Write out all the appropriate steps of a regular hypothesis test (give H0, H1, α, your decision, etc.)(c) Give the equation of the least squares line

What is the water flow from a 1-inch solid stream nozzle on a handline operating at 50 psi? 209.98 gpm 220.38 gpm 218.34 gpm 203.52

A circular shaft is machined on a numerically controlled lathe; the target diameter for the shaft is 37.50 mm, the upper specification limit is 37.55 mm and the lower specification limit is 37.45 mm. Measurements x of shaft diameter are shown in Table 1; these are arranged in 25 sub-groups each containing 5 individuals. For n = 5, A2 = 0.58, D3 = 0.0, D4= 2.11, d2 = 2.326 a) Estimate lower and upper control limits for means and ranges. b) Plot control charts for means and ranges. c) Estimate process capability index Cp.

A lab technician's volume measurements are consistently 8% too high. What is the correct measurement if this technician records a volume of 172 mL?

A student is concerned with the amount of air pollution students are exposed to in the school's parking lot after school. The student conducts an investigation to compare the quantity of particulate matter released from the diesel-powered buses, natural gas-powered buses, and the large and small cars as they idle waiting to pick up students. To make measurements, a small piece of white fabric is used to collect particulate matter from the tailpipe of each vehicle as it idles for five minutes. Each piece of fabric is then analyzed to measure the amount of particulate matter it collected. (i) Identify the independent variable in the investigation. (j) Identify one variable that was not mentioned in the description that could affect the results of the investigation. (k) Describe a realistic alternate sampling method to collect particulate matter from the vehicles in the investigation. (1) The student wants to ensure that the results are reliable. Explain how the student could modify the…