Find the Requested Confidence Interval $5.50,10.20,3.15,6.08,4.85,4.80,4.70,8.52,7.90,6.10,3.50$ $5.40,7.10,9.60,6.20$ , And $4.28$ Assuming $\sigma = 2.00$

question 5

Multiple Choice

Find the requested confidence interval.
-A survey revealed the amount of pocket money held by each student in a sample of students from Statistics 205. The amounts (in dollars) are $5.50,10.20,3.15,6.08,4.85,4.80,4.70,8.52,7.90,6.10,3.50$ , $5.40,7.10,9.60,6.20$ , and $4.28$ . Assuming $\sigma = 2.00$ , find the $99.74 \%$ confidence interval for the population mean.

• A)\(\$ 5.62\) to \(\$ 6.62\)
• B) \(\$ 4.62\) to \(\$ 7.62\)
• C) \(\$ 4.12\) to \(\$ 8.12\)
• D) \(\$ 0\) to \(\$ 4.00\)

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Definitions:

Conformity Pressures

The social forces that compel individuals to adapt their thoughts, feelings, or behaviors in order to align with those of a group or society.

Online Groups

Communities or collectives that interact and communicate primarily through digital platforms, such as forums, social media, or messaging apps.

Compliance

The act of conforming to a wish, request, or law, often due to social pressure or authority without necessarily agreeing with it.

Informational Influence

A form of social influence involving the change in beliefs or behavior that occurs when an individual accepts information from others as evidence about reality.