What is the value of x?<br><br> x−1/6=8<br><br> Enter your answer in the box in simplest form.

The mean family income for a random sample of 600 suburban households in Loganville shows that a 95 percent confidence interval

Misha Larkins [42]

Answer:

$43100 \leq \mu \leq 59710$

And for this case we want to test the following hypothesis:

Null hypothesis: $\mu =42000$

Alternative hypothesis: $\mu \neq 42000$

For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000

Step-by-step explanation:

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is already calculated as:

$43100 \leq \mu \leq 59710$

And for this case we want to test the following hypothesis:

Null hypothesis: $\mu =42000$

Alternative hypothesis: $\mu \neq 42000$

For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000

7 0

2 years ago

Name the line and plane shown in the diagram. A.AB and plane ABD B.BA and plane DC C.AC and plane ABD D.AB and plane DA

elena-14-01-66 [18.8K]

Answer: The line is AB and the plane is ABD, the first option is the correct one.

Step-by-step explanation:

Ok, first some definitions.

A line is any line that crosses two colinear points. Particularly, you can see in the graph that the line crosses through A and B, so the line is AB.

A plane needs 3 non-colinear points (if the points where colinear, then the points may define a line). Other definition of plane is "a line and a point that is not in the line"

So, if our line is AB, then the possible planes are:

ABC and ABD.

then the correct option is:

Line AB and plane ABD, so the correct option is the first one.

6 0

2 years ago

Andy is scuba diving. He starts at sea level and then descends 10 feet in 2 1/2 minutes.

tino4ka555 [31]

Answer:

A. -4 feet per minute (FPM)

B. -24 feet below sea level.

Step-by-step explanation:

4 0

2 years ago

On a map, the distance from Akron to Cleveland measures 2 centimeters. What is the actual distance if the scale of the map shows

miss Akunina [59]

2cm x 30km/cm = 60km

3 0

2 years ago

-3r + 3 (r - 2) = -2 (r + 6)

trasher [3.6K]

Answer:

r=-3

Step-by-step explanation:

5 0

2 years ago

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What is the value of x? x−1/6=8 Enter your answer in the box in simplest form.