A store sells bags of candy that weigh exactly 2lb, according to their packaging. Elena, the store manager tests the claim by hypothesizing that the population mean weight of the bags is not equal to 2lb. She randomly selects 15 bags and found that the sample mean weight is 1.9968lb with a standard deviation of 0.0286lb. Assuming the weights of the bags are normally distributed, the test statistic t for a hypothesis test of H0:μ=2 versus Ha:μ≠2 is t≈−0.43 with 14degrees of freedom. If p-value>0.20 and the level of significance is α=0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean weight of the bags is significantly not equal to 2lb? Select all that apply: A) Reject the null hypothesis that the true population mean weight of the bags is equal to 2lb. B) Fail to reject the null hypothesis that the true population mean weight of the bags is equal to 2lb. C) There is enough evidence at the α=0.05 level of significance to support the claim that the true population mean weight of the bags is not equal to 2lb. D) There is not enough evidence at the α=0.05 level of significance to suggest that the true population mean weight of the bags is not equal to 2lb.

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Description: A store sells bags of candy that weigh exactly 2lb, according to their packaging. Elena, the store manager tests the claim by hypothesizing that the population mean weight of the bags is not equal to 2lb. She randomly selects 15 bags and found that t

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 store sells bags of candy that weigh exactly 2lb, according to their packaging. Elena, the store manager tests the claim by hypothesizing that the population mean weight of the bags is not equal to 2lb. She randomly selects 15 bags and found that the sample mean weight is 1.9968lb with a standard deviation of 0.0286lb. Assuming the weights of the bags are normally distributed, the test statistic t for a hypothesis test of H0:μ=2 versus Ha:μ≠2 is t≈−0.43 with 14degrees of freedom. If p-value>0.20 and the level of significance is α=0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean weight of the bags is significantly not equal to 2lb?

Select all that apply:

A) Reject the null hypothesis that the true population mean weight of the bags is equal to 2lb.

B) Fail to reject the null hypothesis that the true population mean weight of the bags is equal to 2lb.

C) There is enough evidence at the α=0.05 level of significance to support the claim that the true population mean weight of the bags is not equal to 2lb.

D) There is not enough evidence at the α=0.05 level of significance to suggest that the true population mean weight of the bags is not equal to 2lb.

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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