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A repeated analysis of Cl in a given compound resulted in the following results for %Cl:...

A repeated analysis of Cl in a given compound resulted in the following results for %Cl: 2.98, 3.16, 3.02, 2.99, and 3.07. (a) Can any of these results be rejected for statistical reasons at the 90% confidence level? (b) If the true value was 3.03%, can you be 95% confident that your results agree with the known value?
Math   Statistics-And-Probability   
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Answer #1

assuming a two tailed test and normal population,

a) at 10% confidence interval the value of Z is 1.645 and all the given values are greater than 1.645 so we can reject the null hypothesis for these give test statistics.

b) if true is 3.03% but we use as 5% then we can be more than happy with the results, if we reject a hypothesis at 95% confidence interval then we automatically reject it in 90% similarly if we reject a hypothesis at 96.97% confidence interval then we will reject it in 95% as well.

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