Statistics

1.  What are the normality assumptions needed for a sampling distribution of Xbar and a adjustment?

2. An actuary wants to verify that the unofficial drinking age is not necessarily 21. It is antecedent the age is normally exclusive delay a public population banner flexuosity of 5. Let there be a illustration of 25 millennials delay an medium drinking age of 16.  The sagacity roll should be robust accordingly the actuary wants to use this criterion to pretence that 21 is not necessarily the most exposed year to stimulate.

a. Describe the trifling and opinion hypotheses

b.Choose a sagacity roll that makes apprehension to you and convoy the criterion statistic.

c.Interpret your results.

3. A discovery analyst disputes the exchange group’s foreannouncement that end to initiate spending allure medium $500 per family this year. She believes that medium spending allure dispute significantly. She decides to convoy a criterion on a illustration of 40 households delay a illustration medium of $522.  She believes that spending is normally exclusive delay a population sd of $50. She wants to convoy this criterion at a 5% sagacity roll. Explain the hypotheses and convoy the criterion for the demand and then elucidate your results.

4. What are the three approaches to convoying conjecture criterions. Describe how to use them.

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