The article “Influence of Penetration Rate on Penetrometer Resistance” (J. Oliveira. M. Almeida, et al., Journal of Geotechnical and Geoenvironmental Engineering, 2011:695–703) presents measures of penetration resistance, expressed as a multiple of a standard quantity, for a certain fine-grained soil. Fifteen measurements taken at a depth of 1 m had a
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- The article "The Lubrication of Metal-on-Metal Total Hip Joints: A Slide Down the Stribeck Curve" (S. Smith, D. Dowson, and A. Goldsmith, Proceedings of the Institution of Mechanical Engineers, 2001:483-493) presents results from wear tests done on" metal artificial hip joints. Joints with several different diameters were tested. The data presented in the following table on head roughness are consistent with the means and standard deviations reported in the article. Diameter (mm) Head Roughness (nm) 16 0.83 2.25 0.20 2.78 3.93 28 2.72 2.48 3.80 36 5.99 5.32 4.59 Construct an ANOVA table. You may give a range for the P-value. b. Can you conclude that mean roughness varies with diameter? Explain. a.arrow_forwardThe article “Arsenic and Mercury in Lake Whitefish and Burbot Near the Abandoned Giant Mine on Great Slave Lake” (P. Cott, B. Zajdlik, et al., Journal of Great Lakes Research, 2016:223–232) presents measurements of arsenic concentrations in fish found in Northern Canada. a) In a sample of 8 whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a standard deviation of 0.05 mg/kg. Find a 95% confidence interval for the concentration in whitefish found in Yellowknife Bay. b) In a sample of 8 whitefish caught in Baker Pond, the mean arsenic concentration in the liver was 0.55 mg/kg, with a standard deviation of 0.36 mg/kg. Should the Student’s t distribution be used to find a 95% confidence interval for the concentration in whitefish found in Baker Pond? If so, find the confidence interval. If not, explain why not.arrow_forwardA pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The force in kilograms (kg) applied to the tablet varies a bit and follows the Normal distribution with mean 5 kg and standard deviation 0.2 kg. The process specifications call for applying a force between 11.2 and 12.2 kg. What percent of tablets are subject to a force that meets the specifications? The manufacturer adjusts the process so that the mean force is at the center of the specifications, μ = 11.7 kg. The standard deviation remains 0.2 kg. What percent now meets the specificationsarrow_forward
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- The article “Arsenic and Mercury in Lake Whitefish and Burbot Near the Abandoned Giant Mine on Great Slave Lake” (P. Cott, B. Zajdlik, et al., Journal of Great Lakes Research, 2016:223–232) presents measurements of arsenic concentrations in fish found in Northern Canada. In a sample of 8 whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a standard deviation of 0.05 mg/kg. Can you conclude that the mean arsenic concentration in whitefish in Yellowknife Bay is greater than 0.3 mg/kg?arrow_forwardThe article “Occurrence and Distribution of Ammoniumin Iowa Groundwater” (K. Schilling, WaterEnvironment Research, 2002:177–186) describesmeasurements of ammonium concentrations (inmg/L) at a large number of wells in the state of Iowa.These included 349 alluvial wells and 143 quaternarywells. The concentrations at the alluvial wells averaged0.27 with a standard deviation of 0.40, and thoseat the quaternary wells averaged 1.62 with a standarddeviation of 1.70. Find a 95% confidence interval forthe difference in mean concentrations between alluvialand quaternary wells.arrow_forwardThe sulphur dioxide concentration (in percent) of gases collected from the eruptions of two volcanoes was measured. At each volcano, thirty measurements were taken. The following is the data set. Question: Accept or reject the null hypothesis that there is no difference in sulphur dioxide content in the composition of gases in two eruptions at the 0.05 level of significance? Draw your normal curve for supportarrow_forward
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