Chapter 14.14) Penicillin is produced by the Penicillin fungus, which is grown in a broth whose sugar content mustbe carefully controlled. Several samples of broth were taken on three successive days, and the amountof dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were asfollows.Day 1: 5.2 5.4 5.3 5.1 5.6 5.3 5.2 5.3 5.3 4.9 5.3Day 2: 5.3 4.8 4.9 5.1 5.3 5.0 5.1 5.4 5.0 4.9 5.3Day 3: 5.3 5.1 5.1 5.2 5.0 5.3 4.8 5.3 5.0 4.9 5.5a) Use TI 84+ calculator to perform ANOVA TEST and find the values ofF=P=(b) Can you conclude that the mean sugar concentration differs among the three days? Usethe 0.05 level of significance.

The given data is: Day 1 Day 2 Day 3 5.2 5.3 5.3 5.4 4.8 5.1 5.3 4.9 5.1 5.1 5.1 5.2…

Answered: Chapter 14. 14) Penicillin is produced…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a certain suburb of Montréal, residents have expressed their worries about the quality of the air. Of particular concern is the concentration (in μg/m3) of particulate matter smaller than 2.5 μm in size (PM2.5). The environmental standard is a PM2.5 concentration of 15 μg/m3 or less. Part A: To conduct this study, Thomas installs 25 PM2.5 detectors at different locations in the suburban area. Each detector will provide one reading of PM2.5 concentration at a given time. With 25 detectors, what is the probability that Thomas declares the sample mean of PM2.5 concentrations significantly greater than the environmental standard while the population means is 16 μg/m3? The population variance is assumed to be known and equal to 9. Use α = 0.01. Part 2: Thomas is interested to purchase a new and cheaper instrument to measure PM2.5 concentration. He is worried, however, that the precision of the new instrument may be lower than that of the current one. To be acceptable, the standard…
Question 2. The U.S. Geological Survey collected atmospheric deposition data in the Rocky Mountains. Part of the sampling process was to determine the concentration of ammonium ions (in percentages). Here are the results from 20 samples: 41 2.7 3.5 14 70 4.2 4.9 4.6 42 4.8 44 65 31 3.9 3.7 5.6 13.3 3.5 3.7 52 2.6 28 4.8 27 Rank the data from lowest to highest, and calculate the following: a. Q1- the 25th percentile b. Q2 the median or 50th percentile c. Q3- the 75th percentile d. The 20th percentile (P20) and the 80th percentile (Pec) e. Show the 5 number summary.
High Cholesterol: A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in milligrams per deciliter, were measured before and after treatment for each individual, with the following results: Individual Before After 1 247 211 2 281 217 3. 260 190 4 276 214 5. 240 156 6 280 214 293 195 8 274 181 Send data to Excel Part: 0/2 Part 1 of 2 (a) Construct an 80% confidence interval for the mean reduction in cholesterol level. Let d represent the cholesterol level before treatment minus the cholesterol level after. Use tables to find the critical value and round the answers to at least one decimal place. An 80% confidence interval for the mean reduction in cholesterol level is
The data in the table below consist of measurements y₁, y2, y3, and yn of the ramus bone at four different ages on each of 20 boys. 1. Find y. 2. Find Sn 3. Find R Ramus Bone Length at Four Different Ages for 20 Boys. Age Individual 1 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 8 yr (yi) 47.8 46.4 46.3 45.1 47.6 52.5 51.2 49.8 48.1 45 51.2 48.5 52.1 48.2 49.6 50.7 47.2 53.3 46.2 46.3 8½ yr (Y2) 48.8 47.3 46.8 45.3 48.5 53.2 53 50 50.8 47 51.4 49.2 52.8 48.9 50.4 51.7 47.7 54.6 47.5 47.6 9 yr (Y3) 49 47.7 47.8 46.1 48.9 53.3 54.3 50.3 52.3 47.3 51.6 53 53.7 49.3 51.2 52.7 48.4 55.1 48.1 51.3 9½ yr (Y4) 49.7 48.4 48.5 47,2 49.3 53.7 54.5 52.7 54.4 48.3 51.9 55.5 55 49.8 51.8 53.3 49.5 55.3 48.4 51.8
2. Floods: Rapid drainage of floodwater is crucial to prevent damage during heavy rains. Several designs for a drainage canal were considered for a certain city. Each design was tested five times, to determine how long it took to drain the water in a reservoir. The following table presents the drainage times, in minutes. Channel Type Drainage Time 1 41.4 43.4 50.0 41.2 2 38.7 48.3 51.1 38.3 3 32.6 33.7 34.8 22.5 4 26.3 30.9 33.3 23.8 5 44.9 47.2 48.5 37.1 a. Construct an ANOVA table. b. Can you conclude that there is a difference in the mean drainage times for the different channel designs? Use the α = 0.01 level of significance.
2. The amount of protein in the bloodstream (mg/L) is given below for 30 patients: 2.0 2.5 1.4 1.8 1.8 1.9 2.7 2.9 3.3 3.8 4.3 4.8 4.9 5.1 5.8 5.9 6.8 6.8 7.0 7.2 7.7 8.0 8.0 8.7 11.0 11.1 12.0 12.1 12.3 12.3 b) Create a stem-and-leaf plot for the above given data:
The weight percent of silicon in six different rock samples, each containing different amounts of silicon, was measured by two different methods. The results are given in the table. Sample Method A Si wt% Method B Si wt% 1 11.570 11.500 2 15.380 15.300 3 17.950 17.830 4 22.840 22.810 5 25.110 25.150 6 27.070 27.040 Determine tcalc. tcalc = Determine ttable at the 95% confidence level. A list of t values can be found in the Student's t table. ttable =
- TABLE 6E.2 Bearing Diameter Data Sample Number i Sample Number R 1 34.5 3 13 35.4 8. 2 34.2 4 14 34.0 6 3 31.6 4 15 37.1 5 4 31.5 4 16 34.9 7 5 35.0 5 17 33.5 4 34.1 6. 18 31.7 3 7 32.6 4 19 34.0 8. 8 33.8 3 20 35.1 4. 9. 34.8 7 21 33.7 2 10 33.6 8 22 32.8 1 11 31.9 3 23 33.5 3 12 38.6 9 24 34.2 2 inside diameter of the bearing, with only the last three decimals recorded (i.e., 34.5 should be 0.50345). (a) Set up ī and R charts on this process. Does the process seem to be in statistical control? If nec- essary, revise the trial control limits. (b) If specifications on this diameter are 0.5030 ± 0.0010, find the percentage of nonconforming bearings produced by this process. Assume that diameter is normally distributed.
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Answer 26and 27 show work
work on this problem. For a sample of 9 automobiles, the mileage (in 1000s of 5) Show miles) at which the original front brake pads were worn to 10% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 10% of their original thickness. The results were as follows: ´your Car Rear Front 1 41.2 32.5 35.8 26.5 3 46.6 35.6 4 46.9 36.2 5 39.2 29.8 51.5 40.9 51.0 46.0 7 40.7 34.5 9. 47.3 36.5 a. Construct a 99% confidence interval for the difference in mean lifetime between the front and rear brake pads. b. An automotive engineer claims that the mean lifetime for rear brake pads is more than 10,000 miles more than the mean lifetime for front brake pads. Does the confidence interval contradict this claim?

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