Two students compared the scores on their math tests. Their results on 9 tests are shown in the box plots below.
1 answer:
The statements that are true for the box plots are:
C. The median of Nadia’s data = median of Ben’s data.
D. Nadia had the highest score on a test
<h3>How to Find the Median of a Box Plot?</h3>The median of a data set is the center value, which is indicated on a box plot by a vertical line that divides the box.
Given the two box plots, we can conclude that:
Median for the data of Nadia is 92, which is the same for Ben.
The extreme whisker to the right for Nadia is at 100, which is the highest value for Nadia while that of Ben is 99.
The true statements are:
C. The median of Nadia’s data = median of Ben’s data.
D. Nadia had the highest score on a test
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<h2>Answer with explanation:</h2>
As per given , we have
Since , alternative hypothesis is right tailed, so the test is a right tailed test.
n= 1987
Proportion of adults believe that rudeness is a worsening problem :
Test statistic :
(since , the normal curve takes values of z from -7 to 7, so we use critical value to draw conclusion.)
The critical value for a significance level of 0.005= 1.645
Since , absolute test statistic value (12.09) is greater than the critical value (1.645), it means there is statistical significance and so we reject the null hypothesis.
The statement the graphs of both functions have a vertical asymptote of x=0 and statement unlike the graph of function f, the graph of function g decreases as x increases are true.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have two functions:
f(x) = lnx
g(x) = -5 lnx
The domain of the both functions x > 0
The function will be touch the y-axis when x reaches to the infinite.
The graphs of both functions have a vertical asymptote of x=0.
Unlike the graph of function f, the graph of function g decreases as x increases.
The graph of function g is the graph of function f vertically stretched by a factor of 5 and reflected over the x-axis.
Thus, the statement the graphs of both functions have a vertical asymptote of x=0 and statement unlike the graph of function f, the graph of function g decreases as x increases are true.
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