Can somebody help me with this problem
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Answer:
The<em> p</em>-value of the test is 0.1212.
Step-by-step explanation:
A one sample <em>z</em>-test can be performed to determine whether the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.
The hypothesis is defined as:
<em>H₀</em>: The mean hourly wage is same as the reported mean of $24.57 for the goods-producing industries, i.e. <em>μ</em> = $24.57.
<em>Hₐ</em>: The mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries, i.e. <em>μ</em> ≠ $24.57.
The information provided is:
Compute the test statistic as follows:
The test statistic value is, <em>z</em> = -1.55.
Compute the <em>p</em>-value of the test as follows:
*Use a <em>z</em>-table for the probability.
Thus, the<em> p</em>-value of the test is 0.1212.
Answer:
Step-by-step explanation:
, where b, h, w are base, height and width respectively.
, where h is the height, and A_b is the area of the base.
First let's calculate the volume of the paralelipiped by the first formula.
Then let's find out the height of the pyramid, which is 12 - 4 = 8 in.(See drawing)
Then the area of the base of the square pyramid is simply.
Now we can find the volume of the pyramid.
To find the total volume, let's add both volumes.