A farmer wants to know the mean weight of the apples on his orchard. He picks 72 apples which have an average weight of 168.8 ounces. Assume the population weights are normally distributed and the population standard deviation is 1.6 ounces. What is the 98% confidence interval for mean weight of the apples?a.) Which distribution table will be used to find the critical value and why?t-table because the population standard deviation is knownZ-table because the population standard deviation is knownt-table because the population standard deviation is unknownZ-table because the population standard deviation is unknownb.) With 98% confidence, we can say the true population mean weight of the apples is between and ounces.Use 1 decimal place.

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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 farmer wants to know the mean weight of the apples on his orchard. He picks 72 apples which have an average weight of 168.8 ounces. Assume the population weights are normally distributed and the population standard deviation is 1.6 ounces. What is the 98% confidence interval for mean weight of the apples?

a.) Which distribution table will be used to find the critical value and why?

t-table because the population standard deviation is known
Z-table because the population standard deviation is known
t-table because the population standard deviation is unknown
Z-table because the population standard deviation is unknown

b.) With 98% confidence, we can say the true population mean weight of the apples is between and ounces.

Use 1 decimal place.

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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