Research shows that 51% of US citizens are female.  Suppose we are constructing a sampling distribution for the proportion of US females using all possible samples of size 500.  (a) How do we assume this distribution is modeled?  Select the letter of the best option (UPPER or lower case is ok):  A - NORMAL B - UNIFORM C - SKEWED LEFT D - STUDENT'S T (b) What is the mean of this distribution?  Round your answer to 2 decimal places. (c) What is the standard deviation of this distribution?  Round your answer to 3 decimal places

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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  1. Research shows that 51% of US citizens are female. 

    Suppose we are constructing a sampling distribution for the proportion of US females using all possible samples of size 500. 

    (a) How do we assume this distribution is modeled?  Select the letter of the best option (UPPER or lower case is ok): 

    A - NORMAL

    B - UNIFORM

    C - SKEWED LEFT

    D - STUDENT'S T

    (b) What is the mean of this distribution?  Round your answer to 2 decimal places.

    (c) What is the standard deviation of this distribution?  Round your answer to 3 decimal places. 

    (d) What is the expected number of successes?  

    (e) What is the expected number of failures?  

    (f) What is the probability of selecting a sample with the proportion of females being 0.56 or greater?  Round your answer to three decimals.

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what is the expected number is successes

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What is the probability of selecting a sample with the proportion of females being 0.56 or greater?

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Follow-up Question
  1. Research shows that 51% of US citizens are female. 

    Suppose we are constructing a sampling distribution for the proportion of US females using all possible samples of size 500. 

    (a) How do we assume this distribution is modeled?  Select the letter of the best option (UPPER or lower case is ok): 

    A - NORMAL

    B - UNIFORM

    C - SKEWED LEFT

    D - STUDENT'S T

    (b) What is the mean of this distribution?  Round your answer to 2 decimal places.

    (c) What is the standard deviation of this distribution?  Round your answer to 3 decimal places. 

    (d) What is the expected number of successes?  

    (e) What is the expected number of failures?  

    (f) What is the probability of selecting a sample with the proportion of females being 0.56 or greater?  Round your answer to three decimals.

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