A Random Sample of 53 Observations Was Taken

question 24

Essay

A random sample of 53 observations was taken.The average in the sample was 90 with a variance of 400.
a.
Construct a 98% confidence interval for μ.
b.
Construct a 99% confidence interval for μ.
c.
Discuss why the 98% and 99% confidence intervals are different.
d.
What would you expect to happen to the confidence interval in Part a if the sample size was increased? Be sure to explain your answer.

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Definitions:

Excess of Par

The difference between the issue price of a stock and its par value, representing additional paid-in capital for the company.

Authorized Stock

The maximum number of shares a corporation is legally permitted to issue, as stated in its articles of incorporation.

Corporate Charter

A legal document issued by a government that establishes a corporation as a legal entity and outlines its rights and obligations.

Formal Accounting

A systematic process for recording, summarizing, and reporting the financial transactions of an organization, adhering to standardized guidelines and principles.