Why did the queen have the king measure the rug

What is the relative frequency of the revenue earned by B&B Motors from sales of mini trucks compared to the total sales rev

Inessa [5310]

Answer: 0.46

Step-by-step explanation:

B&B Motors' mini trucks yield 0.59; all four companies combined yield 0.39; mini trucks yield 0.13. Hence, 0.59 - 0.13 equals 0.46.

3 0

10 days ago

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A certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of awriting

tester [5388]

Answer:

a) Null hypothesis: $\mu \geq 10$

Alternative hypothesis: $\mu < 10$

b) $p_v =P(t_{17}$

Given that the p-value is lower than the significance threshold in this situation, we have sufficient grounds to reject the null hypothesis.

c) $p_v =P(t_{17}$

In this case, since the p-value exceeds the significance threshold, we have adequate evidence to FAIL to reject the null hypothesis.

d) $p_v =P(t_{17}$

Here again, with the p-value being less than the significance level, we can reject the null hypothesis.

Step-by-step explanation:

1) Provided data and references

$\bar X$ represents the average of the samples

$s$ denotes the standard deviation of the samples

$n=18$ indicates the number of samples

$\mu_o =10$ is the value we are examining

$\alpha$ defines the significance level for the test.

t represents the specific statistic of interest

$p_v$ indicates the p-value relevant to the test (the variable of concern)

Define the null and alternative hypotheses.

To assess if the true mean is at least 10 hours, we must set up a hypothesis:

Part a

Null hypothesis: $\mu \geq 10$

Alternative hypothesis: $\mu < 10$

If we consider the sample size being less than 30 and the population deviation unknown, it’s more appropriate to use a t-test to compare the actual mean with the reference value, calculated as:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Part b

In this scenario t=-2.3, $\alpha=0.05$

Initially, we need to calculate the degrees of freedom $df=n-1=18-1=17$

Since this is a left-tailed test, the p-value is determined by:

$p_v =P(t_{17}$

In this instance, with the p-value being less than the significance level, we have sufficient evidence to reject the null hypothesis.

Part c

For this situation t=-1.8, $\alpha=0.01$

We need to find the degrees of freedom $df=n-1=18-1=17$

For the left-tailed test, the p-value is given by:

$p_v =P(t_{17}$

In this case, since the p-value is above the significance level, we have enough grounds to FAIL to reject the null hypothesis.

Part d

For this case t=-3.6, $\alpha=0.05$

Firstly, we find the degrees of freedom $df=n-1=18-1=17$

Since we are conducting a left-tailed test, the p-value is calculated as:

$p_v =P(t_{17}$

Here, with the p-value being lower than the significance threshold, we can reject the null hypothesis.

5 0

14 days ago

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

Svet_ta [6035]

Answer:

$y>\frac{2}{3}x+3$

Step-by-step explanation:

Step 1

Calculate the slope of the dashed line

The slope between two points is computed with the formula:

$m=\frac{y2-y1}{x2-x1}$

We consider

(-3,1) and (0,3)

and substitute into it:

$m=\frac{3-1}{0+3}$

$m=\frac{2}{3}$

Step 2

Determine the equation of the dashed line in slope-intercept form:

$y=mx+b$

The equation we established is:

$m=\frac{2}{3}$

$b=3$ ---> associated problem

Substituting yields:

$y=\frac{2}{3}x+3$

Step 3

Establish the inequality corresponding to the graph

Given that it is represented by a dashed line, the area to the left of this line is shaded.

Thus,

$y>\frac{2}{3}x+3$

Refer to the attached diagram for enhanced understanding of the problem.

8 0

17 days ago

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3. At a local restaurant, the health inspector visits every 7 days, and the fire inspector visits every 12 days. (a) Make a tabl

Leona [5804]

Health inspector visits once a week.
Fire inspector comes every 12 days.

a) health inspector fire inspector.
day 7. day 12.
day 14. day 24.
day 21. day 36.
day 28. day 48.
day 35. day 60.

b) 12 x 7 = 84.

Both will coincide on day 84.

6 0

12 days ago

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Answer true or false. If false, explain briefly. a) Some of the residuals from a least squares linear model will be positive a

babunello [5286]

It's false due to the squares being reduced to their minimum values.

4 0

1 day ago