Dr. Caras was characterizing a cytochrome (an iron containing protein) from a new strain of bacteria. He obtained eightmeasurements of the percent iron in the protein: 0.3106%, 0.3104%, 0.3091%, 0.3091%, 0.3213%, 0.3095%,0.3106%, and0.3092%.Calculate the mean (x) and standard deviation (s) for these results.%TOOLSx10S =Use the Grubbs test to determine if one of these values is an outlier. What is the value of Gealeulated?Gealculated =stvhulu

Answered: Dr. Caras was characterizing a…

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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A company sells sunscreen in 350 milliliter (ml) tubes. In fact, the amount of lotion in a tube varies according to a normal distribution with mean ?=346 ml and standard deviation ?=6 ml. Suppose a store which sells this sunscreen advertises a sale for 5 tubes for the price of 4. Consider the average amount of lotion from a SRS of 5 tubes of sunscreen and find: (a) The standard deviation of the average, ?¯ : (b) The probability that the average amount of sunscreen from 5 tubes will be less than 338 ml.Answer:
The weight of oranges growing in an orchard is normally distributed with a mean weight of 6.5 oz. and a standard deviation of 1 oz. Using the empirical rule, determine what interval would represent weights of the middle 99.7% of all oranges from this orchard.
One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called forced expiratory volume in one second, and is abbreviated FEV,. Assume the mean FEV, for 10-year-old boys is 2.1 liters that the population standard deviation is o =0.2. A random sample of 53 10-year-old boys live in a community with high levels of ozone pollution are found to have a sample mean FEV, of 2.09 liters. Can you conclude that the mean FEV, in the high-pollution community differs from 2.1 liters? (A) Yes (B) No
A study showed that females’ body temperatures are approximately normally distributed with a mean of 98.40F, and a population standard deviation of 0.700F. Find the female body temperature at the 90th percentile.
The lifetime of a particular component is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. What is the 30th percentile of component lifetimes?
A recent study of 100 social workers in a southern state found that their mean salary was $23,000 with a standard deviation of $2100. A similar study of 95 social workers in a western state found that their mean salary was $34,200 with a standard deviation of$3200. Find the test statistic and critical value when the claim that the mean salaries of social workers in the western state is greater than that of social workers in the southern state. Use α = 0.05. Sample1: Social workers in a southern state, Sample2: Social workers in awestern state. a) Find the test statistic b) Find critical value
The mean score in miss smiths 4th grade class was 76, with a standard deviation of 7. Assume the grades are normally distributed and use the empirical rule to find the approximate percentage of students who scored above 83.
By measuring the amount of time it takes a component of a product to move from one workstation to the next, a technologist has estimated that the standard deviation is 5.00 seconds. What sample size should be used in order to be 95% certain that the mean transfer is estimated to within ±1.00 seconds?
Steel rods are manufactured with a mean length of 26centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.05 cm. Complete parts (a) to (d). (a) What proportion of rods has a length less than 25.9cm?
The population mean of a company's racing bicycles is 9.07 kg (20.0 1b) with a population standard deviation of 0.40 kg. If the distribution is approximately normal, determine (a) the percentage of bicycles less than 8.30 kg, (b) the percentage of bicycles greater than 10.00 kg, and (c) the percentage of bicycles between 8.00 and 10.10 kg.
Low-density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean? Use the 68–95–99.7 rule. (Enter your exact answer as a whole number.) percentage %
The lifetime of a Michelin defender tire (in thousands of miles) is normally distributed with mean μ = 41 and standard deviation σ = 7. What proportion of Michelin tires have lifetimes between 35 and 47 thousand miles?

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