Answer:
The null and alternative hypotheses are:
Under the null hypothesis, the test statistic is:
Now, we have to find the right tailed z critical value at 0.10 significance level. Using the standard normal table, we have:
Since the test statistic is greater than the z critical value, we therefore, reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the university students weigh more than the population.
Option B: a counterclockwise rotation of 90° about the origin
Explanation:
From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)
The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)
<u>Option B: a counterclockwise rotation of 90° about the origin </u>
The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin is given by
Let us substitute the coordinates of the figure A
Thus, we have,
Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.
Therefore, the figure is a counterclockwise rotation of 90° about the origin .
Hence, Option B is the correct answer.