Perform the Indicated Operation and Write the Answer in Scientific $\frac { 31.5 \times 10 ^ { 16 } } { 4.5 \times 10 ^ { 6 } }$

question 83

Multiple Choice

Perform the indicated operation and write the answer in scientific notation.
- $\frac { 31.5 \times 10 ^ { 16 } } { 4.5 \times 10 ^ { 6 } }$

• A) \(27 \times 10 ^ { 22 }\)
• B) \(27 \times 10 ^ { 10 }\)
• C) \(7 \times 10 ^ { 10 }\)
• D) \(7 \times 10 ^ { 22 }\)

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Definitions:

Alpha

A threshold value in hypothesis testing that determines the level of significance, usually set to 0.05 or 0.01.

Type I Error

An error in hypothesis testing that occurs when the null hypothesis is wrongly rejected, falsely indicating a significant result.

Two-tailed Hypothesis

A hypothesis test that considers both directions of an effect, allowing for the possibility of difference in either direction from the null hypothesis.

Critical Values

Specific points on the scale of a test statistic beyond which we reject the null hypothesis, crucial in hypothesis testing to determine the significance of the results.