A biologist is studying rainbow trout that live in a certain river and she estimates their mean length to be 526 millimeters. Assume that the lengths of these rainbow trout are normally distributed, with a standard deviation of 84 millimeters. Find the percentage of rainbow trout in the river that are shorter than 358 millimeters.

Q: Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution…

A: Let X be the random variable from normal distribution with mean (μ) = 45 pounds and standard…

Q: The lengths of the songs available for download on a website are normally distributed, with a mean…

A: Obtain the percent of the songs available for download on the website. The percent of the songs…

Q: A group of 30 students were sampled and measured their height. The average height was 168cm, with a…

A: Obtain the weight represents the 5th percentile. The weight represents the 5th percentile is…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A:

Q: Find the standard deviation of the observations 5, 11, 18, 25 and 41, using mutual differences…

A: Given: data data values  Xi: 5,11,18,25,41  Then to find standard deviations using mutual difference…

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

A:

Q: According to data for a​ population, 3-year-old boys have a mean height of 38 inches and a standard…

A: given data normal distributionμ = 38 inchesσ = 2 inchesfor x = 42 inchespercentile = ?

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: Two companies, A and B, drill wells in a rural area. Company A charges a flat fee of 3296 dollars to…

A: The depths of wells drilled in this area have a normal distribution with a mean of 235 feet and a…

Q: A soft-drink machine is regulated so that it discharges an average of 200 mm/cup. If the amount of…

A: The average rate of discharge of the soft drink machine is 200 mm/cup. The standard deviation of…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: Introduction: Denote X as a randomly selected reading on the thermometer; X has a normal…

Q: Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine…

A: Finding critical value, using z-table distribution:Link:…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A:

Q: The mean speed of a sample of vehicles along a stretch of highway is 67 miles per hour, with a…

A: From the provided information, Mean (µ) = 67 miles per hour Standard deviation (σ) = 2 miles per…

Q: The average annual rainfall in a town recorded over a century is known to be 90mm with a standard…

A: Solution : Given that, The average annual rainfall in a town recorded over a century is known to be…

Q: The weights of adult California Condors average 14.8lbs with a standard deviation of 3.25lbs.…

A:

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A:

Q: A data set has a mean of 40 and standard deviation of 8. -2 standard deviation = -1 standard…

A: From the provided information, Mean of the data set (µ) = 40 Standard deviation (σ) = 8 Using…

Q: (a) Find the 45h percentile of the lengths. th (b) Find the 76 percentile of the lengths.

A: (a) The 45th percentile of the lengths is, PX<x=0.45PX-μσ<x-47840=0.45Pz<x-47840=0.45 The…

Q: A random sample of 100 male students is drawn from a particular class. The mean and standard…

A:

Q: Lazurus Steel rporation produces iron rods that are supposed to be 36 inches long. The machine that…

A:

Q: once, so that they na standard deviat

A: Alex cuts four sticks one at a time and their lengths are independent  with mean = 8 and Standard…

Q: cats is about 3 ounces. Assume that the distribution of birth weights is Normal with a standard…

A: Given that.   X~N( μ , ?)   μ=3    , ?=0.3   Z-score =( x - μ )/?

Q: Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine…

A:

Q: Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine…

A:

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: The mean and standard deviation is μ=0 and σ=1. The rejection will be 3.3% data from the left hand…

Q: A lightbulb is advertised as lasting 1000 hours with a standard deviation of 150 hours. Assume the…

A: It is given that the mean and standard deviation are 1,000 and 150, respectively.

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: X: Readings on thermometer (in °C) X~N(0,1)

Q: The United Nations stores statistics about all the live births in the United States. The latest data…

A:

Q: Based on daily measurements, Brenda's weight has a mean of 200 pounds with a standard deviation of…

A: We know that, Coefficient of variation = (SD/mean)*100 For Brenda Coefficient of variation =…

Q: A data set has a mean of 40 and standard deviation of 8. -2 standard deviation =  -1 standard…

A: It is given that the mean is 40 and the standard deviation is 8.

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A:

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: From the given information, the readings on the thermometers are normally distributed with a mean 0…

Q: Christopher is 6' (72") tall.  The population mean height for men in the United States is 5' 10"…

A: Let X be the height for men in inches.Here,X~N(70,32),i.e.,X~N(70,9).Let x be the value of…

Q: ssume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: To find the critical z value for each tail which reflects the temperature that is too high and…

Q: The average age of senators in the 108th Congress was 62 years. If the standard deviation was 12.5…

A: Solution: Let X be the age of senator. From the given information,

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.