In an experiment to determine whether there is a systematic difference between the weightsobtained with two different mass balances, six specimens were weighed, in grams, on eachbalance. The following data were obtained:SpecimenAB113.7613.7412.4712.4510.0910.088.918.92513.5713.546.12.7412.75Can you conclude that the mean weight differs between the two balances?i). State the null and alternative hypotheses.ii). Compute the test statistic.iii). State a conclusion using the a = 0.05 level of significance.

Answered: Image /qna-images/answer/2ef1456a-650b-4f23-b838-6cc59d9715f6.jpg

Answered: In an experiment to determine whether…

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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In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained: Specimen A B 1 13.76 13.74 2 12.48 12.45 3 10.09 10.08 4 8.91 8.98 5 13.57 13.54 6 12.70 12.75 Can you conclude that the mean weight differs between the two balances? Use the α = 0.05 level of significance.
In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained: Specimen A 1 14.86 14.83 2 9.44 9.41 3 11.99 11.99 4 9.27 9.26 5 6.13 6.13 13.78 13.76 It is reasonable to assume that the population of differences is approximately normal. A hypothesis test was carried out to determine if the mean weight differs between the balances. The results from this hypothesis test procedure carried out in Excel are presented below. You may use this information to answer the questions that follow. t-Test: Paired Two Sample for Means A B Mean 10.91166667 10.89666667 Variance 10.54093667 10.49502667 Observations 6 6 Pearson Correlation 0.999993349 Hypothesized Mean Difference df 5 t Stat 2.66556995 P(T<=t) one-tail 0.022292412 t Critical one-tail 2.015048373 P(T<=t) two-tail t Critical two-tail 0.044584824 2.570581836 a. Give the value of the…
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