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…

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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?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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