PLEASE ANSWER ALL 3 QUESTIONS FOR RATING. Nationwide, 62.6% of all people over t
ID: 2923460 • Letter: P
Question
PLEASE ANSWER ALL 3 QUESTIONS FOR RATING.
Nationwide, 62.6% of all people over the age of 30 are married. I select a sample of 41 adults over the age of 30 in Merromac County and ask if each is married. I learn that 22 of them are married. (This is 53.7%.)
I want to know the probability that any selection of 41 adults over the age of 30 in the nation would have 22 or fewer of them married.
Is this a Central Limit Theorem for Proportions problem?
No, this does not deal with proportions.
No, this does not deal with samples.
No, this does not meet the conditions of the Central Limit Theorem for Proportions.
Yes, this is a Central Limit Theorem for Proportions problem.
In the United States, 93% of girls from age 6 to 10 say that purple is one of their favorite colors.
In Merromac County, I select a random sample of 68 girls from age 6 to 10. Of these, 65 of them say that purple is one of their favorite colors. (This is 95.6%.)
I want to know the probability that in any sample of 68 girls from age 6 to 10 that there would be 65 or more who say that purple is one of their favorite colors.
Is this a Central Limit Theorem for Proportions problem?
No, this is not about proportions.
No, this is not about a sample.
No, the conditions of the Central Limit Theorem for Proportions are not met.
Yes, this is a Central Limit Theorem for Proportions problem.
Mrs. Smith, who happens to be a Grandmother, has 43 red apples and 31 green apples. The weight of the 43 red apples has a mean of 176 g with a standard deviation of 24 g. The weight of the green apples has a mean 148 g and a standard deviation of 29 g.
I want to know the probability that any two groups of 43 and 31 apples would have this large a difference in their means or larger.
Is this a Central Limit Theorem for Proportions problem?
No, this is not even about proportions.
No, this is not about a sample.
No, the conditions of the Central Limit Theorem for Proportions are not met.
Yes, this is a Central Limit Theorem for Proportions problem.
Explanation / Answer
1)
Nationwide, 62.6% of all people over the age of 30 are married. I select a sample of 41 adults over the age of 30 in Merromac County and ask if each is married. I learn that 22 of them are married. (This is 53.7%.)
Ans:
No, this does not meet the conditions of the Central Limit Theorem for Proportions as sample size is very small.
2)
In the United States, 93% of girls from age 6 to 10 say that purple is one of their favorite colors.
In Merromac County, I select a random sample of 68 girls from age 6 to 10. Of these, 65 of them say that purple is one of their favorite colors. (This is 95.6%.)
Ans: No, the conditions of the Central Limit Theorem for Proportions are not met. Sample size is not large enough and also doesnt represent population
3)
Mrs. Smith, who happens to be a Grandmother, has 43 red apples and 31 green apples. The weight of the 43 red apples has a mean of 176 g with a standard deviation of 24 g. The weight of the green apples has a mean 148 g and a standard deviation of 29 g.
Ans: This is about means. So,
No, this is not even about proportions.
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