4. Stella says the equation x^2−8x+y^2+2y=5 has a center of (4,−1) and a radius of 5. Is she correct? Why or why not?
1 answer:
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Answer:
<h2>The box plot is the only display that can be used to show the variability of the data.</h2><h2>The median appears clearly on the box plot at the line within the box: 10.</h2>Step-by-step explanation:
When we want to represent variability, we use a box plot instead of a dot plot, because the box plot allow us to observe the range of the data set, that is, the minium and the maximum value.
Remember that variability is about the spread of the dataset, and the range is a measure that can give a pretty good idea of it, shown by a box plot.
Therefore, the last hoice is correct.
On the other hand, according to the dot plot, the median is 10, because there are 13 total values, where the central value is 10.
Therefore, the second choice is correct.
Answer:
Test statistic Z= 1.713
The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance
Null hypothesis is accepted
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
Step-by-step explanation:
<u><em>Step(i):-</em></u>
A researcher wants to test if the mean annual salary of all lawyers in a city is
different from $110,000
Mean of the Population μ = $110,000
Sample size 'n' = 53
Mean of the sample x⁻ = $114,000.
standard deviation of the Population = $17,000,
Level of significance = 0.01
Null hypothesis :
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
H₀: x⁻ = μ
Alternative Hypothesis : x⁻ ≠ μ
<u><em>Step(ii)</em></u>:-
Test statistic
Z = 1.7130
Tabulated value Z = 2.576 at 0.01 level of significance
The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance
Null hypothesis is accepted
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000