THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 68

Multiple Choice

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Ted's Surfboard Shop makes surfboards by hand.The number of surfboards that Ted makes in a week depends on the wave conditions.Ted has estimated the following probabilities for surfboard production for the next week.

-Let event A be that Ted produces more than six surfboards,and let event B be that he produces less than eight surfboards.Which of the following statements is true?

• A)P(A ∩
• B)= 0.75
• B)Events A and B are collectively exhaustive.
• C)P( )= 0.53
• D)Events A and B are mutually exclusive.

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Definitions:

Statistical Tests

Procedures used in inferential statistics to determine the probability of a hypothesis being true based on sample data.

Degrees of Freedom

The amount of distinct quantities or measures which are assignable to a statistical distribution without contravening existing constraints.

Test Statistic

A numerical value derived from an experiment's data, utilized in hypothesis testing to decide if the null hypothesis should be dismissed.

T Value

A ratio that is derived from the standardized difference between two sample means in a t-test, used to determine the statistical significance of the difference.