Answer:
- <em>We cannot reject the hypothesis that the sample mean is 10.2 gram at α = 0.05</em>
- <em>We can reject the hypothesis that the true mean weight is 11 g versus that the mean weight is not equal to 11 gram at α = 0.05</em>
Step-by-step explanation:
<u><em>We cannot reject the hypothesis that the sample mean is 10.2 gram at α = 0.05</em></u>
<em>True . </em>Given the confidence interval from 9.9 to 10.5 gram, we can conclude that true population mean can be estimated 10.2±0.3 in 95% confidence.
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<u><em>We cannot reject the hypothesis that 95% of individual mice weight between 9.9 and 10.5 gram </em></u>
<em>False. </em>Confidence interval is an estimation about the population mean, not about the indivudual samples.
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<u><em>We can reject the hypothesis that the true mean is 10 gram at α = 0.05</em></u>
<em>False.</em> We cannot reject this hypothesis sice 10 gram is in the confidence interval at 0.05 significance
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<u><em>We can reject the hypothesis that the true mean weight is 11 g versus that the mean weight is not equal to 11 gram at α = 0.05</em></u>
<em>True. </em>According to the sample results 11 gram is out of the confidence interval in 95 confidence level. Therefore we can reject the hypothesis that true mean weight is 11 g.