From the given sample data in the table on the backpack weight, we have;
(a) The means of the samples are;
- First sample = 6.375
- Second sample = 6.375
- Third sample = 6.625
(b) The range is 0.25
(c) The true statements are;
- A single sample mean will tend to be a worse estimate than the mean of the sample means
- The farther the range of the sample means is from zero, the less confident they can be their estimate.
<h3>How can the mean of the sample means be found?</h3>
(a) The sample means of each of each of the three samples are found as follows;
Where;
x = The value of a data point
n = Sample size
The mean of the first sample, S1, data is therefore;
3+7+8+3+7+9+6+8 = 51
Which gives
- Mean of the first sample = 6.375
Similarly, we have;
8 +6+4+7+9+4+6+7 = 51
Which gives;
Mean of the second sample = 6.375
9+4+5+8+7+5+9+6 = 53
Which gives;
- Mean of the third sample = 6.625
(b) The range of the means of the sample means is found as follows;
Range = Largest value - Smallest value
Which gives;
- Range of the sample means = 6.625 - 6.375 = 0.25
(c) The population mean is given by the mean of the sample means. That is, a very good estimate of the sample mean is given by the mean of the sample means.
The true statements are therefore;
- A single sample mean will tend to be a worse estimate than the mean of the sample means
- The farther the range of the sample means is from zero, the less confident they can be their estimate.
Learn more about the mean of the sample means of a collection of data here:
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Answer:
9
Step-by-step explanation:
Let the unknown number be x
Sum means add
7 + 3x = 34
Subtract 7 from each side
7+3x-7 = 34-7
3x = 27
Divide by 3
3x/3 = 27/3
x = 9
Answer:
-5 is the value of a, 4 × -5 = -20
Answer:
x = √89
Step-by-step explanation:
<em>To find the 3rd side of any triangle using the other 2 known sides is simple.</em>
<em>First you want to identify the hypotenuse. It will be the longest side, opposite of the largest angle. The hypotenuse will represent </em><em>c</em><em> in the Pythagorean Theorem equation: </em><em>a² + b² = c²</em>
<em>a</em><em> and </em><em>b</em><em> will represent the other two sides.</em>
<em>When solving, I am assuming that the given sides are not the hypotenuse because it is unclear.</em>
5² + 8² = √89