The main problem associated with using these results to draw conclusions about the general public's perception is a lack of random selection.
What is a simple random sample?A simple random sample simply refers to a subset of items that are typically selected from a statistical population (larger data set), wherein, each member of the subset has an equal probability of being selected.
Based on this survey by the Canadian magazine, we can infer and logically deduce that the main problem associated with using the aforementioned results to draw conclusions about the general public's perception is a lack of random selection.
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The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in. what percentage of the snakes are longer than 16.6 in.? 0.3% 2.5% 3.5% 5%
Answer: The answer would be 5%
Explanation:
The closest answer choice is 2.5%, which is the closest value to 1.7% given in the answer choices.
What is z-score?The Z-score is a statistical measure that describes the relationship of a value to the mean of a group of values.
To solve this problem, we can use the standard normal distribution and the z-score formula:
z = (x - μ) / σ
Where x is the value we want to find the probability for, μ is the mean of the distribution, and σ is the standard deviation of the distribution.
In this case, we want to find the percentage of snakes that are longer than 16.6 in., which corresponds to a z-score of:
z = (16.6 - 15) / 0.8 = 2.125
Using a standard normal distribution table or calculator, we can find that the percentage of values in the distribution that are greater than a z-score of 2.125 is approximately 1.7%. Therefore, approximately 1.7% of snakes are longer than 16.6 in.
Thus, the probable answer is 2.5%.
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