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 13.76 13.74 12.47 12.45 10.09 10.08 8.91 8.92 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. 123 456

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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
13.76
13.74
12.47
12.45
10.09
10.08
8.91
8.92
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.
123 456
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 13.76 13.74 12.47 12.45 10.09 10.08 8.91 8.92 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. 123 456
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