<h3>
Answers: Choice B and Choice C</h3>
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Explanation:
The symbol
or mu represents the population mean, which is a parameter.
The symbol
or sigma represents the population standard deviation, which is also a parameter. The same goes for the symbol p, without any hat on top, as it is the population proportion.
If something represents a population data item, then it's automatically a parameter. It might help to think both words "population" and "parameter" start with the letter P.
Based on those previous paragraphs, we can rule out choices A, D and E. Those three items are parameters. This leaves <u>choices B and C</u> as our final answers.
or xbar is a sample statistic, and it represents an estimate of the population mean. Similarly,
or p-hat is the sample proportion and it represents an estimate of the population proportion. These are considered unbiased estimators.
Another example of an unbiased estimator is the variable s which represents the sample standard deviation and it estimates the value of sigma. All of these estimators have one thing in common: they are based on a sample, which in turn tries to predict what the corresponding population value is. In other words, the statistic's job is to estimate the parameter.
Below is a reference table for all of the items mentioned.
Answer: the population has a mean of less than 30
Explanation:
In interval estimation, the t distribution is applicable only when a. the population has a mean of less than 30. the sample standard deviation (s) is given instead of the population standard deviation
By rewriting the equation from step 1 substituting the value of k into it, the value of x is 22.5
A direct variation is a type of variation that has two types of variables in which a variable can be expressed in terms of the other with its constant.
For example;
If x varies directly as y
<h3>Step 1:</h3>
Then
- x
y - x = ky ; where k is constant
<h3>Step 2:</h3>
The original question says:
- if x varies directly as y, and x = 9 when y = 6, find x when y = 15
∴
x = ky
9 = k × (6)
k = 9/6
k = 1.5
<h3>Step 3:</h3>
Now, we can rewrite the equation from step 1 substituting the value of k into it:
∴
x = ky
The value of (x) will be:
x = 1.5 (15)
x = 22.5
Learn more about Direct variation here:
brainly.com/question/25798903
or 5 lengths of 234 feet to be cut from a board, the board must have a length of at least 1170 feet.
Let x represent the total length of the board so as to allow for the cutting of 5 lengths.
Since each length needed to be cut is 234 feet, hence:
x = number of lengths × feet per board
x = 5 lengths × 234 feet
x = 1170 feet
Hence for 5 lengths of 234 feet to be cut from a board, the board must have a length of at least 1170 feet.
Find out more at: brainly.com/question/18832017