Please can you solve this question about confidence interval of mean of normal distribution. From probability and statistics for engineering course. A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with oʻ =1000 (psi)? .A random sample of 12 specimens has a mean compressive strength = 3250 psi.a) Construct a 95% two-sided confidence interval on mean compressive strength.b) Construct a 99% two-sided confidence interval on mean compressive strength. Compare thewidth of this confidence interval with the width of the one found in (a).c) Suppose that it is desired to estimate the compressive strength with an error that is less than15 psi at 99% confidence. What sample size is required?

From the given information, Standard deviation (σ2) = 1000(psi)2 Sample size (n) =12 Sample mean…

Answered: A civil engineer is analyzing the…

MATLAB: An Introduction with Applications

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Please can you solve this question about confidence interval of mean of normal distribution. From probability and statistics for engineering course.

A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with oʻ =
1000 (psi)? .A random sample of 12 specimens has a mean compressive strength = 3250 psi.
a) Construct a 95% two-sided confidence interval on mean compressive strength.
b) Construct a 99% two-sided confidence interval on mean compressive strength. Compare the
width of this confidence interval with the width of the one found in (a).
c) Suppose that it is desired to estimate the compressive strength with an error that is less than
15 psi at 99% confidence. What sample size is required?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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