A sample of 20 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 3 ounces with a standard deviation of 0.15 ounces. The population standard deviation is known to be 0.1 ounce.NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Which distribution should you use for this problem? (Round your answers to three decimal places.)X ~ Construct a 90% confidence interval for the population mean weight of the candies.(i) State the confidence interval. (Round your answers to three decimal places.) (ii) Sketch the graph. (iii) Calculate the error bound. (Round your answer to three decimal places.) Construct a 98% confidence interval for the population mean weight of the candies.(i) State the confidence interval. (Round your answers to three decimal places.) (ii) Sketch the graph. (iii) Calculate the error bound. (Round your answer to three decimal places.)

The formula for confidence interval is, The formula for EBM is,

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A sample of 20 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 3 ounces with a standard deviation of 0.15 ounces. The population standard deviation is known to be 0.1 ounce.

NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Which distribution should you use for this problem? (Round your answers to three decimal places.)

X ~
Construct a 90% confidence interval for the population mean weight of the candies.
(i) State the confidence interval. (Round your answers to three decimal places.)

(ii) Sketch the graph.



(iii) Calculate the error bound. (Round your answer to three decimal places.)

Construct a 98% confidence interval for the population mean weight of the candies.
(i) State the confidence interval. (Round your answers to three decimal places.)

(ii) Sketch the graph.



(iii) Calculate the error bound. (Round your answer to three decimal places.)

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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