3. The number of named storms in a given hurricane season in the Atlantic basin

Question

3. The number of named storms in a given hurricane season in the Atlantic basin has a mean of about 10 and a standard deviation of about 4. Would 15 be considered arn unusually large number of named storms in a year? Explain. 4. Professor Smith gave a math exam that had a mean of 50 and a standard deviation of 10. The professor "curved" the exam by adding 15 points to everyone's score. What are the mean and standard deviation of the curved scores? Select one of the following: a. 65 and 10, b. 65 and 15, c. 65 and 25.

Explanation / Answer

Ans:

3)Given that

mean=10

standard deviation=4

For x=15,

z=(15-10)/4=1.25

Unusually large means that z>2.

As,z=1.25<2,so 15 is not an unusually large number of storms in a year.

10)Given that

mean=50

standard deviation=10

When,we add a constant term to a variable,mean will increase by that constant term,but standard deviation or variance remanis same.

So,new mean will be =50+15=65 and standard deviation will be same as 10

Option a is correct(65,10)

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