A plant biologist is interested in studying the height of sunflowers. He measures a large sample of sunflowers and determines that their height is approximately normally distributed with mean 112 cm and standard deviation 16 cm. (a) What is the probability (approximately) that a sunflower will be less than 115 cm tall? Sketch the area corresponding to this probability. (b) What is the probability (approximately) that a sunflower will be between 100 and 120 cm tall?

Q: sample of n = 4 scores is selected from a population with μ  = 100 and s = 20. If the sample mean is…

A: Given information: n = 4  μ  = 100  s = 20.  sample mean is M =110

Q: Suppose you have a population of adult male basketball players and you know their mean height is 190…

A: given data normal distributionμ = 190 cmσ = 7.2 cm

Q: Suppose you are studying the weights of house cats. You find their weights are normally distributed…

A: A Standard Normal Distribution is a type of normal distribution with a mean of 0 and a standard…

Q: Suppose the annual rainfall in the Southern California (in inches) is normally distributed with mean…

A: The mean is 10 and the variance is 25. The standard deviation is √variance=√25=5.

Q: An elevator has a placard stating that the maximum capacity is 4500 lb-29 passengers. So, 29 adult…

A: Given thatThe maximum capacity of the elevator is 4500 lb - 29 passengersAssume the weights are…

Q: A particular fruit's weights are normally distributed, with a mean of 614 grams and a standard…

A: The random variable X follows normal distribution. The population mean is 614. The population…

Q: mean thickness of 4 mm and a standard deviation of 1.1 mm. A simple random sample of 90 sheets of…

A: Given: Mean=μ=4Standard deviation=σ=1.1Sample size=n=90Sample mean=x¯=4.1 First, we have to obtain…

Q: The standard deviation of monthly rents paid by students in a particular city is assumed to be $ 60.…

A: Given, σ = 60 n = 150 we have to find 1.    P( x- < μ + 8 ) 2.    P ( x- < μ - 6 ) where,  Z =…

Q: The lengths of lumber a machine cuts are normally distributed, with a mean of 96 inches and a…

A: Given,Mean, μ = 96 inches.Standard deviation, σ = 0.5 inch.Let X be a random variable represents the…

Q: A radar unit used to measure the speed of cars on a highway follows a normally distribution with a…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: The company produces 100 kits daily and each kit has a mean output voltage of 12.5 volts and a…

A: Mean()=12.5standard deviation()=2.2

Q: A veterinary researcher takes an SRS of 60 horses presenting with colic whose average age is 12…

A: Option b is the correct answer.

Q: A particular fruit's weights are normally distributed, with a mean of 359 grams and a standard…

A: Here the given information is A particular fruit's weights are normally distributed, with a mean of…

Q: Blood glucose levels are normally distributed with a mean of 85 mg/dl and a standard deviation of 25…

A: Answer: Given that:   ‘x’ is Normally distributed with                 Mean  µ =85       standard…

Q: H & G is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 135…

A: Given that: X is normally Distributed with mean µ = 135.0 and standard deviation σ = 5.0 By using…

Q: A particular fruit's weights are normally distributed, with a mean of 600 grams and a standard…

A: Solution: Let X be the fruit’s weight. From the given information, X follows normal distribution…

Q: An economics instructor observed that the marks in his Money and Banking course are normally…

A:

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: A population is normally distributed with mean 15 and standard deviation 2.6. Find the probability…

A:

Q: In a certain geographical region, the annual rainfall is normally distributed with a mean of 102.2…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 216 grams and a standard…

A: From the provided information,

Q: f a pipe’s diameter exceeds 24 inches, it is useless to a buyer. A buyer receives a shipment of 10…

A:

Q: For a population mean of 35, a sample was taken with a mean value of 40 and sample size equal to 30.…

A: Given data,μ=35σ=20x=40n=30P(X>40)=?

Q: The reading speed of second grade students in a large city is approximately normal, with a mean of…

A:

Q: An elevator has a placard stating that the maximum capacity is 4300 lb-28 passengers. So, 28 adult…

A: The mean is 178 and the standard deviation is 34.

Q: Assume that the height of a type of tree has a normal probability distribution with a mean of 55.2…

A: Given that, Assume that the height of a type of tree has a normal probability distribution with a…

Q: Women have head circumferences that are normally distributed with a mean of 22.06 in and a standard…

A: For the given data Find p( x bar  < 21.4 ) = ?

Q: The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63…

A: We use standard normal distribution to compute probabilities associated with the normal random…

Q: Given the regression equation Y = 43 - 10X, the predicted value of Y when X = -7 is O A. -113 о в.…

A: The Linear regression model is given as Y=43-10X The predicted value when X=-7 is…

Q: n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute).…

A: actual mean = 17.2ppm  standard deviation = 3.25ppm sample size = 12 The printing speed is actually…

Q: A population of Gala apples has a mean m=0.40 lbs and a standard deviation s=0.16 lbs. For a sample…

A: Solution: Let X be the variable. From the given information, m=0.40, s=0.16 and n=20.

Q: A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34.…

A: Note: As it is not logical that “the probability that x falls within + or -2 milligrams per…

Q: The lifetime risk of developing pancreatic cancer is about one in 78 (1.28%). Suppose we randomly…

A: As prof. N. G. Das said "Let there are n trials and each having two outcomes - Success and Failure.…

Q: Assume that the height of a type of tree has a normal probability distribution with a mean of 85.9…

A: Let us denote X= height of a tree Given that X follows a normal distribution with mean=85.9 and…

Q: A particular fruit's weights are normally distributed, with a mean of 450 grams and a standard…

A: Given,mean(μ)=450standard deviation(σ)=12