All categories

3 years ago

Which of the following statements are not true in developing a confidence interval for the population mean?

Mathematics

1 answer:

frutty [35]3 years ago

8 0

Answer:

b) The width of the confidence interval becomes narrower when the sample mean increases.

Step-by-step explanation:

The confidence interval can be calculated as:

$\bar{x} \pm \text{Test Statistic}\displaystyle\frac{\sigma}{\sqrt{n}}$

a) The width of the confidence interval becomes wider as the confidence level increases.

The above statement is true as the confidence level increases the width increases as the absolute value of test statistic increases.

b) The width of the confidence interval becomes narrower when the sample mean increases.

The above statement is false. As the sample mean increases the width of the confidence interval increases.

c) The width of the confidence interval becomes narrower when the sample size n increases.

The above statement is true as the sample size increases the standard error decreases and the confidence interval become narrower.

You might be interested in

Solve for u. u +5.96 = 9.39

Bad White [126]

Answer:

u equals 3.43 because you subtract from both sides.

3 0

3 years ago

Read 2 more answers

Find the 110th term for the following sequence 4, 9, 14, 19, 24,..

Vinil7 [7]

Answer:

549

Step-by-step explanation:

Given :-

A sequence 4 , 9 , 14 , ...

And we need to find out the 110th term . the given sequence is in Arithmetic progression . So the common difference is 9 -4 = 5 . Now using the formula to find out the nth term of AP ,

Using formula :-

$:\implies$ T_n = a + ( n -1)d

$:\implies$ T_n = 4 + (110-1)5

$:\implies$ T_110 = 4 + 109*5

$:\implies$ T_110 = 4 + 545

$:\implies$ T_110 = 549 .

Hence the 110 th term is 549 .

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20q%5E%7B2%7D%2B7-%5Cfrac%7B1%7D%7B2%7D%20q%5E%7B2%7D" id="TexFormula1"

Sergeu [11.5K]

1/4q^2 +7
Hope this helps :)

8 0

3 years ago

Read 2 more answers

DUE IN 5 MINUTES MATH QUESTION

kumpel [21]

Answer:

x= -10

Step-by-step explanation:

So because the angle 55 is part of the same line as one of the unknown angles you can do 180-55 to find that first angle at the top, which is 125.

Next add all three angles (125 + x + 35 + x + 40)=180

Combine the x values to get 2x and subtract the three values from 180

Then 2x= -20, x should be equal to -10

You can plug x back into the values and check your work by adding all the values again, making it all equal to 180 degrees again

4 0

3 years ago

The radius of a circle is 13miles. what is the area of a sector bounded by a 20 degree arc

Stolb23 [73]

Answer:

Area of the sector = 29.48 square miles.

Step-by-step explanation:

Given:

Radius of a circle = 13 miles

Angle bounded by the arc = 20 deg

To find

Area of the sector bounded by 20 degrees.

Note: Area of a sector = $\frac{(\theta)}{360}\times \pi\times r^2$

Plugging the values in the equation.

⇒ $\frac{(\theta)}{360}\times \pi\times r^2$

⇒ $(\frac{20}{360})\times 3.14\times 13^2$

⇒ $29.48$ square-miles

So the area of the sector bounded by 20 degree arc is 29.48 square miles.

5 0

3 years ago