What price do farmers get for their seedless watermelon crops? In a recent month, a simple random sample of 49 farming regions gave a sample mean of $12.15 per 100 pounds of seedless watermelon. Assumer that σ=$1.87per 100 pounds. Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their seedless watermelon crop. (Round answers to two decimal places.) margin of error: $ (?) per 100 pounds lower limit: $ (?) per 100 pounds upper limit: $ (?) per 100 pounds What conditions were met for the above calculations to be valid? (Select all that apply.) large enough sample size n σ is known The price per 100 pound of seedless watermelon needs to be uniformly distributed The price per 100 pound of seedless watermelon needs to be normally distributed σ is unknown Find the sample size necessary for a 90% confidence level with an margin of error E=0.73 for the mean price per 100 pounds of seedless watermelon. (Increase to the next whole number.) ? If a farmer brings in 12 tons of seedless watermelon to a market, find a 90% confidence interval for the population mean cash value for 12 tons of seedless watermelon. Note: 1 ton = 2000 pounds. (Round your answers to two decimal places.) lower limit: $ ? upper limit: $ ?

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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What price do farmers get for their seedless watermelon crops? In a recent month, a simple random sample of 49 farming regions gave a sample mean of $12.15 per 100 pounds of seedless watermelon. Assumer that σ=$1.87per 100 pounds.

Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their seedless watermelon crop. (Round answers to two decimal places.)

margin of error: $ (?) per 100 pounds

lower limit: $ (?) per 100 pounds

upper limit: $ (?) per 100 pounds

What conditions were met for the above calculations to be valid? (Select all that apply.)

large enough sample size n
σ is known
The price per 100 pound of seedless watermelon needs to be uniformly distributed
The price per 100 pound of seedless watermelon needs to be normally distributed
σ is unknown

Find the sample size necessary for a 90% confidence level with an margin of error E=0.73 for the mean price per 100 pounds of seedless watermelon. (Increase to the next whole number.) ?

If a farmer brings in 12 tons of seedless watermelon to a market, find a 90% confidence interval for the population mean cash value for 12 tons of seedless watermelon. Note: 1 ton = 2000 pounds. (Round your answers to two decimal places.)

lower limit: $ ?
upper limit: $ ?

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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