The distribution of lengths of salmon from a certain river is approximately normal with standard deviation 3.5 inches. If 10 percent of salmon are longer than 30 inches, which of the following is closest to the mean of the distribution? 26 inches 28 inches 30 inches 33 inches E 34 inches

A machine designed to cut steel tubing into 2.4 metre lengths produces pipes with lengths that arenormally distributed with a mean 2.4 metres and standard deviation 0.03 metres.A random sample of 9 pipe lengths is measured. Which of the following is the most accurate description of the distribution of the sample mean length?Question 2Select one:a.It has a mean of 2.4 metres and a standard error of 0.01 metres.b.It is normal with a mean of 2.4 metres and a standard error of 0.03 metres.c.It is normal with a mean of 2.4 metres and a standard error of 0.01 metres.d.It has a mean of 2.4 metres and a standard error of 0.03 metres.

The heights of a particular breed of horse are normally distributed with a standard deviation of 6.5cm. The mean is unknown but is somewhere between 140cm and 150cm. Which one of the following statements cannot be true?Group of answer choicesThe median of the distribution is 148cmA large horse of this breed could plausibly reach a height of 163cmAbout 5% of horses of this breed have heights outside the range 130cm to 156cm.About 5% of horses of this breed have heights outside the range 142cm to 155cm.

The annual per capita consumption of bottled water was 34.8 gallons.Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 34.8 and a standard deviation of 12 gallons. a.What is the probability that someone consumed more than 35 gallons of bottled water? b.What is the probability that someone consumed between 20 and 30 gallons of bottled water? c.What is the probability that someone consumed less than 20 gallons of bottled water? d.90%of people consumed less than how many gallons of bottled water?Round to four decimal places as​ needed.)

The defect length of a corrosion defect in a pressurizedsteel pipe is normally distributed with mean value 30 mmand standard deviation 7.8 mm [suggested in the article“Reliability Evaluation of Corroding PipelinesConsidering Multiple Failure Modes and TimeDependent Internal Pressure” (J. of InfrastructureSystems, 2011: 216–224)].a. What is the probability that defect length is at most20 mm? Less than 20 mm?b. What is the 75th percentile of the defect length dis-tribution—that is, the value that separates the small-est 75% of all lengths from the largest 25%?c. What is the 15th percentile of the defect lengthdistribution?d. What values separate the middle 80% of the defectlength distribution from the smallest 10% and thelargest 10%?

Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of 0.22 inches and a standard deviation of 0.05 inches. What proportion of woodlice have antenna lengths that are at least 0.23 inches? Round your answer to at least four decimal places.