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Get Full Access to Elementary Statistics - 12 Edition - Chapter 5.4 - Problem 5bsc
Get Full Access to Elementary Statistics - 12 Edition - Chapter 5.4 - Problem 5bsc

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# Finding ?, ?, and Unusual Values. In Exercises, assume

ISBN: 9780321836960 18

## Solution for problem 5BSC Chapter 5.4

Elementary Statistics | 12th Edition

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Problem 5BSC

Problem 5BSC

Finding μ, σ, and Unusual Values. In Exercises, assume that a procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values of n and p to find the mean μ and standard deviation σ . Also, use the range ruh of thumb to find the minimum usual value μ  2σ and the maximum usual value μ  2 σ.

Guessing on ACT Random guesses are made for the 60 multiple-choice questions on the math portion of the ACT test, so n = 60 and p =1/5 (because each question has possible answers of a, b, c, d, e, and only one of them is correct).

Step-by-Step Solution:

Step 1 of 2 :

Given, Guessing on ACT Random guesses are made for the 60 multiple-choice questions on the math portion of the ACT test, so n = 60 and p =⅕.

The procedure yields a binomial distribution.

Where, mean = = np = 60(1/5)

= 12

Variance = npq

= (60)(0.2)(0.8)

= 9.6

Standard deviation =  =

= 3.1

Step 1 of 2 :

We have to find the minimum usual value and maximum usual value

i.e , Minimum usual value

= - 2

= 12 - 2(3.1)

= 5.8 correct guesses

Maximum usual value

= + 2

= 12 + 2(3.1)

= 18.2 correct guesses

Step 2 of 1

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