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Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.
In a normal distribution with mean and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample proportions for a proportion p in a sample of size n has
In this problem:
- The proportion is of 55%, hence
- The sample has 300 adults, hence
Then, the <u>mean and the standard error</u> are given by:
The probability is the <u>p-value of Z when X = 0.5,</u> hence:
By the Central Limit Theorem
has a p-value of 0.0409.
0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.
A similar problem is given at brainly.com/question/25800303
Answer:
Step-by-step explanation:
We can measure the number of diagonals each path takes:
From point 1, the path travels 6 diagonals, ending up at point D.
From point 2, the path travels 12 diagonals, ending back at point A.*
From point 3, the path travels 3 diagonals, ending at point B.
From point 4, the path travels 9 diagonals, ending at point C.
From point 6, the path travels 10 diagonals, ending at point D.
Since your question mentions each are 2 cm by 2 cm, this is equivalent to .
We can easily conclude that the maximum is 12 diagonals. Thus, Solving our equation gives: 12 * =
as our final answer.
*Note: This path will pass through point five, that is, following the diagram you described. If this is true, then there is no need to solve the longest possible path for point 5.