(a) A factory manufactured PVC pipes with a mean diameter of 3.4 cm, a standard deviation of 1.7 cm and is normally distributed. If 72 of PVC pipes are randomly selected, what is the probability that the sample mean diameter of the pipes is les than 3.0 cm?
Q: The weight of corn chips dispensed into a 16-ounce bag by the dispensing machine has been identified…
A: Given: Mean, μ=16.5 ounces Standard deviation, σ=0.2 ounce Sample size, n=100 X~N (16.5, 0.2) For…
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a…
A: mean of 105 inches and a standard deviation of 0.4 inch.
Q: The mean gas mileage for a hybrid car is 57 miles per gallon, Suppose that the gasoline mileage is…
A:
Q: The weight of corn chips dispensed into a 20-ounce bag by the dispensing machine has been identified…
A:
Q: (d) The probability that a randomly selected hybrid gets less than 45 miles per gallon is (Round to…
A: X follows a Normal distribution with mean = 57 and S.D = 3.5 Then z=(x-mean)/SD = (x-57)/3.5…
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 103 inches and a…
A: Let us assume X=The lengths of lumber a machine cuts Given that X follows a normal distribution with…
Q: e mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…
A: Given that. X~N( μ , ? ) μ=57 , ?=3.5 Z-score =( x - μ )/? NOTE:- According to bartleby…
Q: The width of leaves on the plants in my office are normally distributed with a mean of 2.45 inches…
A: It is an important part of statistics . It is widely used .
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a…
A: It is given that the mean is 88 and the standard deviation is 0.3.
Q: The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is…
A: As per our guidelines we are suppose to answer only three sub parts. Given,mean(μ)=56standard…
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 95 inches and a…
A: a) Given, Mean = 95 Standard deviation = 0.4 The objective is to find the probability that a…
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 93 inches and a…
A:
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 86 inches and a…
A: X follows a Normal distribution with mean = 86 and S.D = 0.4 Then z=(x-mean)/SD = (x-86)/0.4…
Q: Based on tests of the Chevrolet Cobalt, the miles per gallon in highway driving are normally…
A:
Q: The weight of adult male rhesus monkeys is normally distributed, with a mean of 15 pounds and a…
A: We have given that Mean=mu=15 Standard deviation=sigma=3 X~Normal(mu=15,sigma=3) Find P(x>18.6)
Q: A process is normally distributed with a mean of 104 rotations per minute and a standard deviation…
A: Given,mean(μ)=104standard deviation(σ)=8.2
Q: The amount of detergent dispensed into bottles of liquid laundry detergent bottles for a particular…
A:
Q: firm manufactures light bulb whose length of life follows a normal distribution with mean 90 hours…
A: Given data,Mean μ=90sd σ=2P(86<X<96)=?
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 95 inches and a…
A:
Q: The amount of corn chips dispensed into a 16-ounce bag by the dispensing machine has been identified…
A:
Q: If a male person selected from the population has weight 95 kgs, what is his expected height and…
A:
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a…
A:
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 97 inches and a…
A: It is given that mean is 97 inches and the standard deviation is 0.3 inch.
Q: Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean…
A: The objective of this question is to find the probability that the height of a randomly selected…
Q: A human resources manager at a company based in a major city wants to determine whether there is a…
A: A statistical hypothesis is a hypothesis which can be evaluated on the basis of observing a…
Q: The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is…
A: From the provided information, Mean (µ) = 56 Standard deviation (σ) = 3.2 X~N (56, 3.2) Here X be a…
Q: In general, train commuting time for VU students travelling to campus from home is normally…
A: Given that :mean (μ)=52 Standard deviation (σ)=7 Let X be the random variable of the students who…
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 86 inches and a…
A: Given,Mean, μ = 86 inchesStandard deviation, σ = 0.5 inchLet X be a random variable represents the…
Q: In 2001 there were 869 road fatalities in Virginia, according to the Virginia Department of Motor…
A:
Q: A rugby team from the country of Atlantis is formed by randomly drawing from its population. The…
A: Given that: Population mean, μ=165 Population standard deviation, σ=10 Sample size, n=26
Q: Fran is training for her first marathon, and she wants to know if there is a significant difference…
A: Given data,n1=40x1=46.6σ1=4.6n2=45x2=48.8σ2=2.4Compute value of test statistic?
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a…
A: The random variable length of lumber a machine cuts follows normal distribution. The population mean…
Q: 16 students of a statistics class are selected randomly. The sample mean weight is 51.31 and the…
A: Standard error of the mean: It is defined as the value of the standard deviation of all possible…
Q: (a) What is the probability that a randomly selected board cut by the machine has a length greater…
A:
Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…
A: Note- Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…
Q: The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is…
A: It is given that the gas mileage for a hybrid car is normally distributed mean 56 and standard…
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 91 inches and a…
A: Given : Let X be the lengths of lumber a machine cuts. μ = 91 inch σ = 0.4 inch a) P(X > 91.17) =…
Q: The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is…
A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a…
A:
Q: A researcher has a sample of 49 arctic plants, and wants to describe the average plant height. The…
A: The distribution of sample average of these arctic plant heights is N(8.2, 1), which is obtained…
Q: The lengths of lumber a machine cuts are normally distributed with a mean of 90 inches and a…
A:
Step by step
Solved in 2 steps with 2 images
- The lengths of lumber a machine cuts are normally distributed with a mean of 97 inches and a standard deviation of 0.5 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 97.18 inches? (b) A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 97.18 inches?A standard I.Q. test produce normally distributed results with a mean of 100 and a standard deviation of 15 for the city of New York. What is the probability that the I.Q below 67?A motorcar industry research study found that the tyre lifespan for economic sedan cars is normally distributed with a mean of 30 000km and a standard deviation of 4 500km. If a random sample of 100 vehicles is selected, calculate the standard error of the sample means
- The lengths of lumber a machine cuts are normally distributed with a mean of 86 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 86.21 inches? (b) A sample of 41 boards is randomly selected. What is the probability that their mean length is greater than 86.21 inches?The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a standard deviation of 0.7 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 105.37 inches? (b) A sample of 35 boards is randomly selected. What is the probability that their mean length is greater than 105.37 inches?The lengths of lumber a machine cuts are normally distributed with a mean of 103 inches and a standard deviation of 0.4 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 103.18 inches? (b) A sample of 45 boards is randomly selected. What is the probability that their mean length is greater than 103.18 inches?
- The weights of ice cream cartons are normally distributed with a mean weight of 7 ounces and a standard deviation of 0.7 ounce wheat is the probability that a randomly selected carton has a weight greater than 7.22 ounces? A sample of 36 cartons is randomly selected. What is the probability that their mean weight is greater than 7.22 ounces?The diameter of ping-pong balls manufactured by a French company is 1.57 inches with a standard deviation of .05 inches. If a sample of 36 ping-pong balls is selected from a shipment of 600 ping-pong balls, what is the probability that the sample mean will be greater than 1.58 inches?The lengths of lumber a machine cuts are normally distributed with a mean of 90 inches and a standard deviation of 0.4 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 90.12 inches? (b) A sample of 39 boards is randomly selected. What is the probability that their mean length is greater than 90.12 inches?
- Rhys is a quality control manager at a facility that manufactures snack foods. He is interested in the number of whole mini- pretzels that are in the 10 oz bags in the latest lot produced. Rhys selects 24 bags of mini-pretzels at random from the latest lot and counts the number of pretzels in each bag His sample has a mean of 158 pretzels with a standard deviation of 1.6 pretzels. What is the margin of error with 95% confidence (2 = 2.07)? O 0.02 O 66.76 O 0.68 O 6.34IN 2018, THE BRAKING DISTANCE OF TOYOTA CAMRY CARS ON A WET SURFACE FOLLOWS A NORMAL DIRTRIBUTION. ITS MEAN IS 122 FEET WITH A STANDARD DEVIATION OF 20 FEET. WHAT IS THE PROBABILITY THAT A RANDOMLY SELECTED TOYOTA CAMRY WILL HAVE A BRAKING DISTANCE OF MORE THAN 130 FEET?A farmer picks pumpkins from a large field. The farmer makes samples of 260 pumpkins and inspects them. If one infifty pumpkins are not fit to market and will be saved for seeds, what is the standard deviation of the mean of the samplingdistribution of sample proportions?