• Example: A bread factory produces breads with an average of 300 grams and a standard deviation of 12 grams. The average distribution of bread weights is normal. Calculate the probability that the average bread weight is less than 294 grams for a random sample of n=25 grains.
Q: The average number of acres burned by forest and range fires in a large county is 4,200 acres per…
A: Population mean, μ = 4200 acresPopulation standard deviation, σ = 800 acresLet, X be the number of…
Q: The diameter of bolts produced by a certain machine are normally distributed with a mean of 0.30…
A:
Q: According to a study done by Pierce students, the height for Hawaiian adult males is normally…
A:
Q: the weight of a newborn babies in a Long Island Community is normally distributed with a mean weight…
A: It is given that:
Q: The average resident of Metro City produces 770 pounds of solid waste each year, and the standard…
A: We have to find probability that randomly selected person will produce more than 1000 pound wastwm
Q: A population of normally distributed scores has a mean of 50 and standard deviation of 12. What is…
A: Given information- Population mean, µ = 50 Population standard deviation, σ = 12 Sample size, n = 36…
Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…
A: It is an important fact in statistics . It has got wide applications in all statistical fields .
Q: A mechanical component is subject to a load that has a mean value of 1500 N and a standard deviation…
A:
Q: It is estimated that the weight of a box of cereal follows a normal distribution with a mean of 23.8…
A: From the given information, Mean = 23.8 Standard deviation = 2.2 The objective is to find the…
Q: When the weight of a parcel of oranges was measured, it was observed that the average 200 grams and…
A:
Q: The results of a statistics examination follow an approximate normal distribution with a mean of 68…
A:
Q: Suppose the weight of an adult male Labrador is normally distributed with u=71.2 pounds and a…
A: Mean()=71.2standard deviation()=3.4
Q: erature of healthy humans has a normal distribution with mean 98.3°F and variance 0.5375. What is…
A: The standard deviation is calculated as: σ=0.5375=0.73314≃0.733 Given:μ=98.3, σ=0.733 The…
Q: weights of packages shipped by a company are normally distributed with a mean of 32.8lbs and a…
A: Given,mean(μ)=32.8standard deviation(σ)=5.4
Q: The average number of acres burned by forest and range fires in a large county is 4,200 acres per…
A: Note:- Since you have posted a question with multiple subparts we will provide solutions only to the…
Q: 2. The average gas mileage of an Audi A5 Cabriolet car is 39.5 miles per gallon. If the gas mileages…
A: given information According to given question random variable (x = average gas mileage) follows…
Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…
A: The test scores are -1.64 and 1.64.
Q: The amount of snowfall falling in a certain mountain range is normally distributed with 80 inches…
A: Let x¯ denotes the mean annual snow falling during 25 randomly picked years. The mean is 80, and…
Q: The number of automobile accidents per week in Toronto is normally distributed with a mean of 16.3…
A:
Q: The tread life of Stone Soup tires can be modeled by a normal distribution with a mean of 35,000…
A: Given: Population mean = 35000 Population standard deviation = 4000 Sample size (n) = 100 Let X…
Q: What is the probability that 32 cans of Diet Pepsi will contain, on average, more than 12.18 ounces…
A:
Q: It is estimated that the weight of a box of cereal follows a normal distribution with a mean of 23.8…
A: Solution: Let X be the weight of a box of cereal. From the given information, X follows normal…
Q: A study of Sandhill Cranes determines that the distance they travel a day is normally distributed…
A: According to the provided information, Mean (μ) = 267 Standard Deviation (σ) = 86
Q: fertility rate is the number of births per 1000 women aged 15-44. The mean fertility rate of the 50…
A: According to the given information in this question We need to find the following probability
Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…
A: Given Mean =32 Standard deviation=7.5
Q: An engine horsepower is normally distributed with an average of 350 horsepower and a standard…
A: We have given that, X be the random variable from normal distribution with mean or average (μ)=…
Q: Weights of packages shipped by a company are normally distributed with a mean of 32.8 lbs. and a…
A: Given,mean(μ)=32.8standard deviation(σ)=5.4
Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…
A:
Q: A simple random sample of 144 observations was taken from a large population. The sample mean and…
A: sample mean is given by, x = 120.8 and sample standard deviation is given by, s = 32.46 Number of…
Q: home study time (in hours) college freshmen each week is a normal variable with a mean of 23.2 h.…
A:
Q: Mileage data of new model cars follow a normal distribution with an average mileage of 26 mpg and a…
A: Determine the Z score for the mean mileage of these selected cars is 22 mpg, The Z score for the…
Q: The average resident of Metro City produces 770 pounds of solid waste each year, and the standard…
A: We have to find probability
Q: The amount of weight on an ACME tractor trailer is known to have a normal distribution with mean 9.5…
A:
Q: Find the probability that the mean of a randomly chosen sample of 25 students scores is between 72.3…
A:
Q: The speed of cars driving on Route 1 is normally distributed with a mean of 60 mph and a standard…
A: It is given that the, The speed of cars is normally distributed with a mean of 60 mph and a standard…
Q: The number of pizzas consumed per month by university students is normally distributed with a mean…
A: Normal distribution : Mean = 6 Standard deviation = 2 First we will calculate Z-score Z =…
Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…
A: From the given information, Test scores that is X is normally distributed woth mean 0 and standard…
Q: The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.5…
A:
Q: The number of pizzas consumed per month by university students is normally distributed with a mean…
A:
Q: afactory manufactures car tyres that have an average lifetime of 45261 kilometers with a standard…
A: Given: X~N(μ,σ)μ=45261Kmσ=2761Km
Q: Suppose that males between the ages of 40 and 49 eat on average 103.8 g of fat every day with a…
A: Given Mean=103.8 Standard deviations=4.02
Q: The high temperature X (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according…
A: Given data,μ=21σ=10P(15<X<25)=?
Q: Suppose that the walking step lengths of adults are normally distributed with a mean of 2.4 feet and…
A:
Q: The amount of time it takes students to complete a biology exam is normally distributed with a…
A: Given that, The random variable X is the amount of time takes students to complete a biology exam It…
Step by step
Solved in 3 steps with 2 images
- Mileage data of new model cars follow a normal distribution with an average mileage of 26 mpg and a standard deviation of 7. Consider a sample of size 15 cars. What is the probability that the mean mileage of these selected cars is at most 27.5 mpg?The shelf life of a perishable product is a random variable that is related to customer acceptance and, ultimately, to sales and profit. Suppose the shelf life of a particular soft drink is best approximated by a normal distribution with a mean of 180 days and standard deviation 20 days. What fraction of the product will still be fresh after 5 months on the shelf?Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. What is the probability that the height of a randomly selected boy is greater than 145 cm? a. 0.1357 b. 0.1151 c. 0.1841 d. 0.1587
- The weights of Australian Cattle Dogs are normally distributed with a mean of 25 kg and a standard deviation of 4 kg. What is the probability (%) that a randomly selected dog weighs between 23 kg and 32 kg?In a factory production the products' weights follow a normal distribution with mean 4.00 kg and standard deviation 0.06 kg. Suppose a product is chosen at random, find the probability that the product's weight is between 3.88 kg and 4.18 kg?Cans of regular Coke are labeled as containing 12 oz.Statistics students weighted the content of 6 randomly chosen cans, and found the mean weight to be 12.14.Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.13 oz. Find the probability that a sample of 6 cans will have a mean amount of at least 12.14 oz.
- The full height of a certain species of tree has a normal probability distribution with a mean of 195.6 ft and a standard deviation of 7.5 ft. State the random variable. ¯x = the height of a certain species of tree ¯x = the mean height of a certain species of tree x = the height of a certain species of tree x = the diameter of a certain species of tree A tree of this type grows in my backyard, and it stands 187.4 feet tall. Find the probability that the height of a randomly selected tree is shorter than mine. Round to three decimal places.Which is the notation for the probability that the height is shorter than mine? P(x < 187.4) P(¯x < 195.6) P(¯x > 195.6) P(x > 195.6) P(¯x< 187.4) P(x < 195.6)The amount of time a marker takes to mark a single Advanced Business Statistics exam script has a normal distribution with mean 336 seconds and standard deviation 198 seconds. One script is selected at random. Find the probability that it takes the marker more than 500 seconds to complete marking this script. A. 0.2033 B. 0.2967 C. 0.7033 D. 0.7967The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.5 inches and a standard deviation of 0.5 inches. A random sample of 50 ping-pong balls is selected. What is the probability that the sample mean will be between 2.4 and 2.6 inches?
- Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. What is the probability that the height of a randomly selected boy is greater than 145 cm?0.1357 0.1151 0.1841 0.1587The results of a statistics examination follow an approximate normal distribution with a mean of 68 and a variance of 64. Grade A is awarded to students who score more than 82.What is the probability that a student gets a Grade A? a. 0.0401 b. 0.9599 c. 0.5871 d. 0.4129