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: 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: . What is the probability that the student will get into a college whose entrance score is 550?

A:

Q: A sample of 3000 persons were surveyed for their weight in pounds, the mean weight is 135 Ibs with a…

A:

Q: The mean IQ of 500 data science students is 151  and the standard deviation is 15. Assuming that the…

A:

Q: When Lin drives a golf ball, it travels a mean distance of 200 yards with a standard deviation of 20…

A: Dear Student,  As per the guideline, I can solve only the first question. Kindly repost the other…

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

A: Lets determine how many cups will probably overflow 230 mm cups are used for next 1000 drinks. Let X…

Q: A sample of 3000 persons were surveyed for their weight in pounds, the mean weight is 135 lbs with a…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: The average net sales per year of the products in 60 branches of the DG Company is Php 85 million…

A:

Q: The admission committee of AUCA passes 61% of those who took the exam. If the scores follow a normal…

A: We have given that.   X~N( μ , ?^2 )   μ =350 , ? =25   Z-score =( x - μ )/?

Q: Data collected by the highway patrol indicates that the average speed on a stretch of interstate is…

A:

Q: The mean weight of 500 male students at a certain college is 151 lb and the standard deviation is IS…

A:

Q: The U.S. Bureau of Labor statistics reports that the average annual expenditure on food and drink…

A: Given Information: Mean μ=$5700 Standard deviation σ=$1500 To find the percentage of families who…

Q: A set of wrist watch prices are normally distributed with a mean of 76dollars and a standard…

A: From the provided information, Mean (µ) = 76 Standard deviation (σ) = 10 X~N (76, 10) Here X be a…

Q: the length of a certain species of fish were found to be normally distributed. the mean length is 72…

A: Any assumption about the parameter or probability function is called a hypothesis. Given data are…

Q: The mean weight of 500 male students at a certain college is 151 lb and the standard deviation is 15…

A:

Q: What is the probability that you can cover a 540 square feet area using 20 cans of spray paint…

A:

Q: The heights of women in a particular community are normally distributed with a mean of 65 inches and…

A: We have to find given proportion..

Q: The mean height of Grade 11 students at a certain University is 150 cm and the standard deviation is…

A:

Q: The temperature recorded at 60 airports in a region had a mean of 67 degrees Fahrenheit and a…

A:

Q: When Christian runs the 400 meter dash, his finishing times are normally distributed with a mean of…

A:

Q: The length of the western rattlesnake is normally distributed with a mean of 42 inches and a…

A: Determine the length of the snakes that the 95% of western rattlesnakes that are longer than. The…

Q: The average birth weight for for a full term baby in Canada is 8 Ibs with a standard deviation of 1…

A: Let X denote the birth weight for a full term baby. Given that X follows N(mean = 8, SD = 1), then Z…

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: The mean height of the roses grown in the garden is 28 cm and the standard deviation is 3 cm. If the…

A: GivenMean(μ)=28standard deviation(σ)=3

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

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: In a recent survey, 80% of the community favored building a police substation in their neighborhood.…

A:

Q: In a factory producing parts for an electronic appliance, the length of a large  number of parts…

A: From the provided information, Mean (µ) = 3 Standard deviation (σ) = 0.05 X~N (3, 0.05) Here X be a…

Q: How many of the people surveyed will have a weight between 130 and 140lbs?

A: Here the mean weight is 135 lbs with a standard deviation of 5 lbs.   Use normal distribution for…

Q: The average rainfall in a certain area is 24.5 inches per year, with a standard deviation of 3…

A:

Q: For a medical study, a researcher wishes to select people in thr middle 75% of the population based…

A: Introduction: Definition: Z-score A Z-score is a numerical measurement that describes a value's…

Q: Assume that the heights of 400 basketball players are normally distributed with a mean of 175 cm and…

A: 3.  Assume that the heights of 400 basketball players are normally distributed with a mean of 175 cm…

Q: The weights of miniature horses are roughly normally distributed with a mean of 230 pounds and…

A:

Q: A group of patients has a mean height of 160 cm and a standard deviation of 10 cm. What standard…

A: Determine the standard score that would cut off the lowest 50% of scores. The standard score that…

Q: A manufacturer is producing metal rods, whose lengths are normally distributed with a mean of 65.0…

A: #.Given : length of rod follow normal distribution with mean=65 cm and standard deviations=0.3 cm…

Q: A maths class has 100 members. If there is a 15% absentee rate per class meeting , find the standard…

A:

Q: The average team in the NBA will score 112 points per game with a standard deviation of 8 points.…

A:

Q: A history class has 75 members.  If there is a 12% absentee rate per class meeting , find the…

A: Given data  P(absent) = p = 0.12  So q= 1-p = 0.88 Sample size (n)= 75 X = no.  of student absent We…

Q: The average speed of cars on 495 is 74 mph with a standard deviation of 6. What is the probability…

A: GivenMean(μ)=74standard deviation(σ)=6

Q: The mean weight of 500 male students in a certain college is 151 lbs. and the standard deviation is…

A:

Q: About 3 blue whales per month are killed by ship strikes in the Northern Pacific ocean.  What is the…

A:

Q: Based from the record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of…

A:

Q: A doctor in the oncology department of a hospital surveyed the breathing rate of cancer patients.…

A:

Q: The average price of a personal computer is $949. If the computer distributed with a standard…

A:

Q: For the layperson, explain what the standard deviation of 2.2 means compared to the standard…

A: The standard deviation of women for tallest acceptable height is 2.2. It can be explained as, each…

Q: imagine the average score on an exam is 71 with a standard deviation of 10. If scores are normally…

A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is…

Q: The mean temperature (of daily maximum temperatures) in July for Dallas–Ft. Worth, Texas, is 85…

A: Solution: Let X be the temperature in July for Dallas-Ft,worth, Texas. From the given information, X…

Q: The mean weight of 500 male students at a certain college is 151 lb and the standard deviation is 15…

A:

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.