Select ALL the true statements about the scatter plot below.

Mathematics

1 answer:

Ganezh [65]3 years ago

5 0

The true statements about the scatter plots are

(a) the graph shows a linear association
(d) the graph shows a positive association
(e) The graph could be used to show an association between the hours worked and the amount earned

<h3>How to determine the true statement about the scatter plot?</h3>

From the graph of the scatter plot, we have the following highlights:

The points appear to be on a straight line; this represents a linear association
One point is relatively far from other points on the plot; this means the graph has an outlier
As the points on the x-axis increases, the points on the y-axis increases; this means a positive association

The above highlights mean that (a), and (d) are true

Since the graph is a linear association, then it can be used to model hourly rates

This means that (e) is true

Hence, the true statements about the scatter plots are (a), (d) and (e)

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Let μ denote the true average tread life of a certain type of tire. consider testing h0: μ = 30,000 versus ha: μ > 30,000 bas

san4es73 [151]

The probability of making a type II error is given by one minus the power of the hypothesis test.

In general for the alternative hypothesis , $H_a:\mu\ \textgreater \ \mu_0$

The power of a hypothesis test is given by:

$\beta(\mu')=\phi\left(X \ \textless \ \mu_0+z_{1-\alpha}\frac{\sigma}{\sqrt{n}}|\mu'\right) \\ \\ =\phi\left(z_{1-\alpha}+\frac{\mu_0-\mu'}{\sigma/\sqrt{n}}\right) =\phi\left(z_{1-0.01}+\frac{30000-31000}{1500/\sqrt{16}}\right) \\ \\ =\phi\left(z_{0.99}+\frac{-1000}{1500/4}\right)=\phi\left(2.33-\frac{1000}{375}\right)=\phi(2.33-2.667) \\ \\\phi(-0.33)=0.3682$

The probability of <span>making a type ii error when μ = 31,000 is given by

$1-\beta(\mu')=1-0.3682 \\ \\ =0.6318$ </span>