A quality control engineer at Shell visits 80 gas stations and collects a fuel sample from each. She measures sulphur content in the gas and sorts the samples into 4 different batches. She finds: 18 samples with less tha 180 ppm sulphur, 22 samples between 180 and 230 ppm, 22 samples between 230 and 280 ppm, and 18 samples with more than 280 ppm. Does the sulphur content of the fuel samples follow a normal distribution with a mean of 234 ppm and a standard deviation of 53 ppm? P-value number (rtol=0.01, atol=0.0001)
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- A scientist is studying three different cultures of bacteria {labeled "A", "B" and "C"} and wants to mathematically model the bacterial change of each type. To do this, the scientist decides to collect data for 25 consecutive days and builds the following scatter diagrams where the horizontal axis corresponds to "t" and the vertical axis to the amount of bacteria present in the culture P = P (t) Help the scientist decide which mathematical model (initial value problem) to use for each of the three types of crops. To do this, associate each of the graphs above with one of the following initial value problems. Crop type A a) dP/dt = k with P(0)=P0 and k>0.b) dP/dt = k with P(0)=P0 and k<0.c) dP/dt = kt with P(0)=P0 and k>0.d) dP/dt = kt with P(0)=P0 and k<0.e) dP/dt = kP with P(0)=P0 and k>0.f) dP/dt = kP with P(0)=P0 and k<0.g) dP/dt = kP(1-P/M) with P(0)=P0 and M, k>0.h) dP/dt = kP(1-P/M) with P(0)=P0 and M, k<0. Crop type B a) dP/dt = k with P(0)=P0 and…To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow.My Data: 0.061 g/mL Class Data: 0.0497 g/mL 0.0449 g/mL Based on my data value of 0.061, is the class data values of 0.0497 and 0.0449 precise, accurate, both, or neither Is the class data precise, accurate, both, or neither compared to my data value
- Can you find the amount of salt A in the tank at any time t?Introduction: According to the M&M/Mars Company, headquartered in Hackettstown, New Jersey, the new mix of M&Ms Plain Chocolate Candies should contain 30% browns, 20% each of yellows and reds, and 10% each of oranges, greens, and blues. While the company mixes the colors as much as possible, the above ratios may vary especially in the smaller bags. This is because the various colors are combined in large quantities for the last production stage which is printing. The bags are filled on high-speed packaging machines by weight, not by count. Purpose: The purpose of this activity is to compare the actual distribution of M&Ms to the advertised ratios. A chi-squared test will be used. If this were a traditional setting classroom, I would provide you each with a bag of M&Ms. You are more than welcome to buy a bag on your own if you want and stratify by color – or use the counts provided here from a bag in an earlier semester. You want to use a chi square test to see if the…Introduction: According to the M&M/Mars Company, headquartered in Hackettstown, New Jersey, the new mix of M&Ms Plain Chocolate Candies should contain 30% browns, 20% each of yellows and reds, and 10% each of oranges, greens, and blues. While the company mixes the colors as much as possible, the above ratios may vary especially in the smaller bags. This is because the various colors are combined in large quantities for the last production stage which is printing. The bags are filled on high-speed packaging machines by weight, not by count. Purpose: The purpose of this activity is to compare the actual distribution of M&Ms to the advertised ratios. A chi-squared test will be used. If this were a traditional setting classroom, I would provide you each with a bag of M&Ms. You are more than welcome to buy a bag on your own if you want and stratify by color – or use the counts provided here from a bag in an earlier semester. You want to use a chi square test to see if the…
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- A container holds 200 gal of brine solution containing 50 lb of salt. Initially, fresh water is poured into the tank at a rate of 10 gal/min, while the well-stirred mixture leaves the tank at the same rate. Letting y as the amount of salt at any time t, the mass flow rate at output is maintained at 50. O True. O False. O Partially true. O Insufficient information to state its truth value.Details: A semiconductor manufacturing process creates an average of 0.4 defects per integrated circuit (chip), with the defects occurring independently of each other.Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over their lifetimes. The concentration of mercury in fish tissue can be obtained by catching fish and sending samples to a lab for analysis. A study was conducted on fish from the Waccamaw and Lumber Rivers to investigate mercury levels in tissues of largemouth bass. At several stations along each river a group of fish were caught, weighed and measured; in addition a filet from each fish was sent to a lab so that the tissue concentration of mercury could be determined. In all, 171 fish were caught at 15 different research stations along the Waccamaw and Lumber Rivers. Data from fish caught at one of these stations is shown in the following table: length weight 1616 47.0 1862 48.7 2855 55.7 1199 45.2 1320 44.7 1225 43.8 870 38.5 1455 45.8 1220 44.0 1033 40.4 Compute the correlation between length and weight for these fish. (Assume the correlation conditions have been…