Pillow lava is formed when lava erupts
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Using the Central Limit Theorem, it is found that the valid conclusion is given as follows:
The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.
<h3>Central Limit Theorem</h3>The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, we have a skewed variable with a sample size less than 30, hence the Central Limit Theorem cannot be applied and the correct conclusion is:
The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.
To learn more about the Central Limit Theorem, you can check brainly.com/question/24663213
Complete question;
<em>The distribution of lengths of salmon from a certain river is approximately normal with a standard deviation of 3.5 inches. If 10 percent of salmon are longer than 30 inches, which of the following is closest to the mean of the distribution? 26 inches A 28 inches B 30 inches C 33 inches D 34 inches</em>
Option B is correct. The value that is closest to the mean of the distribution is 30inches.
The formula for calculating the z-score is expressed as:
Given the following parameters
If 10 percent of salmon are longer than 30 inches, then:
- P(x>30) = 0.1
Using the z table to get the value corresponding to the mean area 0.1.
- The required z-score will be -1.285
Substitute the resulting parameters into the formula to get the mean of the distribution.
Hence the value that is closest to the mean of the distribution is 30inches.
Learn more here: brainly.com/question/15295437