2 problems that I need help with.

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# 4) A legal researcher is studying the age distribution of juries by comparing

them with the overall age distribution of available jurors. The researcher

claims that the jury distribution is different from the overall distribution; that

is, there is a noticeable age bias in jury selection in this area.The table shows

the number of jurors at a county court in one year and the percent of persons

residing in that county, by age. Use the population distribution to find the

expected juror frequencies.Test the researcher's claim at a = 0.01

21-29 30-39 40-49 50-59 60 and above

Jury 45 128 244 224 359

population 20.50% 21.70% 18.10% 17.30% 22.40%

#16) A steel pipe fittings company claims that the yield strength of its non tempered

couplings is more variable than that of its tempered couplings.

A random sample of nine tempered couplings has a standard deviation of

13.1 megapascals, and a similar sample of nine nontempered couplings has

a standard deviation of 25.4 megapascals. From past data, it is known that

the company's production process results in normally distributed yield

strengths.Test the company's claim at a = 0.05.

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# 4) A legal researcher is studying the age distribution of juries by comparing

them with the overall age distribution of available jurors. The researcher

claims that the jury distribution is different from the overall distribution; that

is, there is a noticeable age bias in jury selection in this area.The table shows

the number of jurors at a county court in one year and the percent of persons

residing in that county, by age. Use the population distribution to find the

expected juror frequencies.Test the researcher's claim at a = 0.01

21-29 30-39 40-49 50-59 60 and above

Jury 45 128 244 224 359

population 20.50% 21.70% 18.10% 17.30% 22.40%

#16) A steel pipe fittings company claims that the yield strength of its non tempered

couplings is more variable than that of its tempered couplings.

A random sample of nine tempered couplings has a standard deviation of

13.1 megapascals, and a similar sample of nine nontempered couplings has

a standard deviation of 25.4 megapascals. From past data, it is known that

the company's production process results in normally distributed yield

strengths.Test the company's claim at a = 0.05.

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