Question

In: Math

. Let X be the soil strength of a sample taken at 35mm depth in a...

. Let X be the soil strength of a sample taken at 35mm depth in a large field. Assume X is normally distributed with an UNKNOWN standard deviation. We are interested in computing confidence intervals for μ, the unknown population mean soil strength at 35mm in this particular field. Four soil samples are randomly chosen from the field with the measurements (15, 21, 30, 34).

       a.     compute the 80% CI.

       b.     compute the 95% CI.

       c.     compare the two confidence intervals from a. and b.

(Which one is more precise? Which one is more accurate

Solutions

Expert Solution


Related Solutions

A square footing 1.5m X 1.5m is located at a depth of 1.0m. The soil has...
A square footing 1.5m X 1.5m is located at a depth of 1.0m. The soil has the following properties: γ = 17.5kN/m3, c= 20kN/m2 and Φ = 34o. The footing base and ground are horizontal. if the horizontal component of the weight = 20kN acting at the height of 4m parallel to the side of footing, and vertical component is 500kN, determine ultimate bearing capacity and factor of safety. using Hansen’s analysis
You are given a soil sample taken from the environment. Give examples of any Uranium isotopes...
You are given a soil sample taken from the environment. Give examples of any Uranium isotopes that may be present. What other long-lived isotopes may also be present in the sample? Briefly discuss what you understand by the term “decay chain”, giving some examples of the type of decay processes involved
List which soil strength parameters are needed to conduct a drained analysid and whoch strength parameters...
List which soil strength parameters are needed to conduct a drained analysid and whoch strength parameters are needed to conduct undrained analysis
. Root depth for grasses and shrubs in a type of soil known as glacial outwash...
. Root depth for grasses and shrubs in a type of soil known as glacial outwash was studied in Yellowstone National Park. It was found that the root depth in this type of soil is a normally distributed random variable with standard deviation 8.94 inches. (a) In a proposed study region of glacial outwash, how many plants should be carefully dug up and studied to be 90% sure that the sample mean root depth is within 0.5 inches of the...
Let X be a random variable representing the compressive strength of concrete cubes from a particular...
Let X be a random variable representing the compressive strength of concrete cubes from a particular mix. X has a normal distribution with mean and standard deviation 60.14 and 5.02 N/mm2, respectively. a. The probability that the compressive strength of a cube is between its mean value and c is 0.30. In other words P(μ £ X £ c) = 0.30, where μ is the mean value given above. What is the value of c? b. Assume that each cube...
Let X ∼ N(µ, σ) and X¯ be sample mean from a random sample of 9....
Let X ∼ N(µ, σ) and X¯ be sample mean from a random sample of 9. Suppose you draw a random sample of 9, calculate an interval ¯x ± 0.5σ where σ is the population standard deviation of X, and then check whether µ, the population mean, is contained in the interval or not. If you repeat this process 100 times, about how many time do you think µ is contained in X¯ ± 0.5σ. Explain why. (Hint: What is...
Suppose the sample space is S = {x| - 8 <= x <= 8}. Let A...
Suppose the sample space is S = {x| - 8 <= x <= 8}. Let A = {x|-2 < x < 2}, B = {x| -3 < x < -1}, and C = {x|1<x<3}. Determine the sets (A intersection B intersection C')'. Please show work as needed.
A footing of size 1.5×2 m is located at depth 1.2 m on a soil with...
A footing of size 1.5×2 m is located at depth 1.2 m on a soil with bulk unit weight of b=16.8 kN/m3 and sat = 17.6 kN/m3, c’ = 80 kN/m2 and ’ = 0. Determine the gross allowable load of the footing for (a) ground water table well below the foundation base, and (b) ground water table at the ground surface. Compare the results to see if in this case, the position of ground water table has an effect...
A retaining wall having a smooth vertical back retains a soil mass for a depth of...
A retaining wall having a smooth vertical back retains a soil mass for a depth of 9 m. The soil has the following properties: cu = 34 kPa; u= 0º; γ = 18kN/m3 . Assume groundwater table is well below the base of the retaining wall and NO rainwater in the tension crack. Calculate the depth of tension crack (in m). Calculate the resultant active thrust (in kN/m) Calculate the point of application from base (in m).
1. A random sample of size n = 10 is taken from a large population. Let...
1. A random sample of size n = 10 is taken from a large population. Let μ be the unknown population mean. A test is planned of H0: μ=12vs. HA: μ̸=12usingα=0.1. A QQ plot indicates it is reasonable to assume a normal population. From the sample, x̄ = 14.2 and s = 4.88. (I suggest doing this problem with a calculator and table as practice for exams. You may check your answers with R if you wish.) (a) Since the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT