Only provide well detailed and accurate answer!

You independently draw 100 data points from a normal distribution.

(a) Suppose you know the distribution is N(, 4) (4 = 2 ) and you want to test the null hypothesis H0 : = 3 against the alternative hypothesis HA : 6= 3. If you want a significance level of = 0.05. What is your rejection region? You must clearly state what test statistic you are using.

(b) Suppose the 100 data points have sample mean 5. What is the p-value for this data? Should you reject H0?

(c) Determine the power of the test using the alternative HA : = 4.

This case presents a challenge to the special admissions program of the petitioner, the Medical School of the University of California at Davis, which is designed to assure the admission

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*270of a specified number of students from certain minority groups. The Superior Court of California sustained respondent's challenge, holding that petitioner's program violated the California Constitution, Title VI of the Civil Rights Act of 1964, 42 U. S. C. 2000det seq.,and the Equal Protection Clause of the Fourteenth Amendment. The court enjoined petitioner from considering respondent's race or the race of any other applicant in making admissions decisions. It refused, however, to order respondent's admission to the Medical School, holding that he had not carried his burden of proving that he would have been admitted but for the constitutional and statutory violations. The Supreme Court of California affirmed those portions of the trial court's judgment declaring the special admissions program unlawful and enjoining petitioner from considering the race of any applicant.^[]

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*271It modified that portion of the judgment denying respondent's requested injunction and directed the trial court to order his admission.

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What is the association between chronic pancreatitis and peripheral vascular disease (PVD)?

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Is there any role for chemotherapy in carcinoma of the pancreas?

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Question 10

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