A simple random sample of 9 cereal brands resulted in mean sugar content (in grams of sugar per gram of cereal) of 0.30 grams with a standard deviation of 0.12 grams. Use a 0.05 significance level to test a claim that the mean sugar content of all cereals is less than 0.40 grams? [Note: The population standard deviation is unknown.] Clearly identify and state the null hypothesis H0 and the alternative hypothesis H1. Determine the critical value(s) and the value of the appropriate test statistic (to nearest 0.001). [Note: Table A-3 might be helpful for critical value(s).] Do you reject or fail to reject the null hypothesis? Justify your answer. Using Figure 8-5 on p. 366, clearly state your final conclusion.

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Description: A simple random sample of 9 cereal brands resulted in mean sugar content (in grams of sugar per gram of cereal) of 0.30 grams with a standard deviation of 0.12 grams. Use a 0.05 significance level to test a claim that the mean sugar content of all ce

Given: x¯=0.30s=0.12n=9μ=0.40 Hypothesis: Null hypothesis: H0: μ=0.40Alternative hypothesis: H1:…

Answered: A simple random sample of 9 cereal…

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 9 cereal brands resulted in mean sugar content (in grams of sugar per gram of cereal) of 0.30 grams with a standard deviation of 0.12 grams. Use a 0.05 significance level to test a claim that the mean sugar content of all cereals is less than 0.40 grams? [Note: The population standard deviation is unknown.]

Clearly identify and state the null hypothesis H₀ and the alternative hypothesis H₁.

Determine the critical value(s) and the value of the appropriate test statistic (to nearest 0.001). [Note: Table A-3 might be helpful for critical value(s).]

Do you reject or fail to reject the null hypothesis? Justify your answer.

Using Figure 8-5 on p. 366, clearly state your final conclusion.

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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