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Evaluate questions with every detail step and explanation. (No computer output is accepted) A typical person...

Evaluate questions with every detail step and explanation.

(No computer output is accepted) A typical person in America has 155 friends in Facebook, 210 followers in Instagram and 155 followers in Twitter according to USA Tomorrow. A random sample of 30 people is selected and the following summary statistic are obtained. (Assume that the variables are normally distributed.) Facebook Instagram Twitter Sample Mean 120.7 210.3 154.5 Sample Standard Deviation 5.2 7.85 19

a) Construct a 99% two-sided confidence interval for the mean number of friends in Facebook for all people in America.

b) Construct a 99% two-sided confidence interval for mean number of followers in Instagram for all people in America.

c) Construct a 99% two-sided confidence interval for the mean number of followers in Twitter for all people in America.

d) Does this sample support the claim of USA Tomorrow? Explain your answer.

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