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Name: A simple random sample of 42 pieces of mail had a mean weight of 10.99
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A simple random sample of 42 pieces of mail had a mean weight of 10.99 grams and a standard deviation of 2.7 grams. Based on the usual weight and number of letters in his mail bag, a mail carrier claims that the mean weight of packages is 11.5 grams.

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 simple random sample of 42 pieces of mail had a mean weight of 10.99 grams and a standard deviation of 2.7 grams. Based on the usual weight and number of letters in his mail bag, a mail carrier claims that the mean weight of packages is 11.5 grams. Test the carrier’s claim using a 90% confidence level.

For the null and alternative hypothesis you may write words, don't spend a ton of time on symbols.

The null hypothesis is .

The alternative hypothesis is .

If you use tables please complete the critical value and test statistic section, if you use a TI-84, please complete the p-value and alpha section. Leave the other sections blank.

Critical value or values are . If there is more than one answer, write them from smallest to largest and separate answers with a comma. Round to 2 decimal places.

The test statistic is . Round to 2 decimal places.

The p-value is . Round to 3 decimal places.

The alpha value is . Round to 2 decimal places.

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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