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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 12.47 12.45 3 10.09 10.08 4 8.91 8.92 5 13.57 13.54 12.74 12.75 Can 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.

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 12.47 12.45 3 10.09 10.08 4 8.91 8.92 5 13.57 13.54 12.74 12.75 Can 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 12.47 12.45 10.09 10.08 8.91 8.92 5 13.57 13.54 6. 12.74 12.75 Can 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.
Transcribed Image Text: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 12.47 12.45 10.09 10.08 8.91 8.92 5 13.57 13.54 6. 12.74 12.75 Can 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.
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