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The sample of 10 healthy children has an average serum iron level 19휇mol/l with a standard...

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Statistics

The sample of 10 healthy children has an average serum ironlevel 19휇mol/l with a standard deviation 6휇mol/l. The sample of6children with cystic fibrosis has an average iron level 12휇mol/lwith a standard deviation of 6.3. An investigator wants to testwhether the mean serum iron levels differ between children with andwithout cystic fibrosis at 95% confidence level(two-sided). Assumethat the serum iron level is approximately normallydistributed.

a)State the null and alternative hypotheses.

b)Calculate the pooled estimate of the variance.

c)Which test statistic do we need to use? t or z? Why?

d)Calculate an appropriate test statistic.

e)Calculate a p-value.

f)Can you reject H0at 95% confidence level?

g)Interpret the result.

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