Question 19A manufacture makes light-weight sneakers, and claim that the average weight of one sneaker is no bigger than 2 pounds. To verify this claim, a sample of 9 sneakers are weighed, and the sample mean is 2.4 pounds with the sample variance of 0.25 pounds^2. Assuming the weights of sneakers are normally distributed, we would like to test the claim of the manufacture at 10% level of significance. Please select the correct statement from below: O None of the other answersO The alternative hypothesis H1 is u > 2 pounds. Since p-value < 0.10, HO is rejected and the manufacture's claim is false.O The null hypothesis H0 is p > 2 pounds. Since p-value < 0.10, HO is rejected and the manufacture's claim is true.O The null hypothesis H0 is ps 2 pounds. Since p-value > 0.10, H0 is accepted and the manufacture's claim is true.O The null hypothesis H0 is p > 2 pounds. Since p-value > 0.10, HO is accepted and the manufacture's claim is true.

Answered: A manufacture makes light-weight…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 30E

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Question 19

A manufacture makes light-weight sneakers, and claim that the average weight of one sneaker is no bigger than 2 pounds. To verify this claim, a sample of 9 sneakers are weighed, and the sample mean is 2.4 pounds with the sample variance of 0.25 pounds^2. Assuming the weights of sneakers are normally distributed, we would like to test the claim of the manufacture at 10% level of significance.

Please select the correct statement from below:

O None of the other answers
O The alternative hypothesis H1 is u > 2 pounds. Since p-value < 0.10, HO is rejected and the manufacture's claim is false.
O The null hypothesis H0 is p > 2 pounds. Since p-value < 0.10, HO is rejected and the manufacture's claim is true.
O The null hypothesis H0 is ps 2 pounds. Since p-value > 0.10, H0 is accepted and the manufacture's claim is true.
O The null hypothesis H0 is p > 2 pounds. Since p-value > 0.10, HO is accepted and the manufacture's claim is true.

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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