Answer the Question $\mathrm { n }$ Is Large $\mathrm { n }$

question 48

Multiple Choice

Answer the question.
-Many calculators or computers cannot directly calculate 70 ! or higher. When $\mathrm { n }$ is large, $\mathrm { n }$ ! can be approximated by $\mathrm { n } ! = 10 ^ { \mathrm { K } }$ , where $\mathrm { K } = ( \mathrm { n } + 0.5 ) \log \mathrm { n } + 0.39908993 - 0.43429448 \mathrm { n }$ . Evaluate 78 ! using the approximation given above.

• A) \(1.151 \times 10 ^ { 2 }\)
• B) \(1.131 \times 10 ^ { 115 }\)
• C) \(1.281 \times 10 ^ { 114 }\)
• D) \(3.356 \times 10 ^ { 308 }\)

Identify and understand the implications of Type I error in hypothesis testing.

Analyze and interpret statistical data in the context of health, societal, and behavioral studies.

Utilize statistical reasoning to evaluate claims based on sample data.

Understand and interpret the significance of p-values in hypothesis testing.

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Definitions:

Swing Shift

A work shift that typically occurs in the afternoon and evening hours, bridging the gap between day and night shifts.

Time And A Half

An overtime pay rate that is 1.5 times an employee's normal hourly rate, typically paid for work done beyond standard working hours.

Pricing

The process of determining the value to be charged for a product or service.

Yield Rate

The rate of return on an investment over a specified period, often expressed as a percentage.