-3(1-2x)=4x-17 solve x

Construct a 99% confidence interval for the population mean, mu. Assume the population has a normal distribution. A group of 1

Zarrin [17]

Answer:

99% confidence interval for the population mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean age of selected students = 22.4 years

s = sample standard deviation = 3.8 years

n = sample of students = 19

$\mu$ = population mean

Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.

So, 99% confidence interval for the population mean, $\mu$ is ;

P(-2.878 < $t_1_8$ < 2.878) = 0.99 {As the critical value of t at 18 degree of

freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.878) = 0.99

P( $-2.878 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.878 \times {\frac{s}{\sqrt{n} } }$ ) = 0.99

P( $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

99% confidence interval for $\mu$ = [ $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ , $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ]

= [ $22.4 -2.878 \times {\frac{3.8}{\sqrt{19} }$ , $22.4 +2.878 \times {\frac{3.8}{\sqrt{19} }$ ]

= [19.891 , 24.909]

Therefore, 99% confidence interval for the population mean is [19.891 , 24.909].

6 0

3 years ago

PLEASE HELP I will give you a brainliest

Fed [463]

Answer:

when x = -1, y = -3

when x = -1, y = -1

when x = -1, y = 1

when x = -1, y = 3

Step-by-step explanation:

x = -1; plug in y = 2(-1) - 1 = -2 - 1 = -3

x = 0; plug in y = 2(0) - 1 = 0 - 1 = -1

x = 1; plug in y = 2(1) - 1 = 2 - 1 = 1

x = 2; plug in y = 2(2) - 1 = 4 - 1 = 3

3 0

2 years ago

Write 7x10^-8 in standard form

attashe74 [19]

Answer:

The answer would be 0.00000007

6 0

2 years ago

Read 2 more answers

If $1,000 is invested in an account that pays 5% interest compound annually, an expression that represents the amount in the acc

KengaRu [80]

Hello! So the formula for compound interest is P(1 + r)^t, where r = rate, P = principal, and t = time (years). C is out, because you multiply the rate and principal together to get the price, not add. You raise the decimal to a certain power, based on the amount of years. You add 1 to the rate. 5% in decimal form is 0.05 and you must add 1 to the amount, which eliminated B. The only answer that works is A, because it shows the correct formula. The answer is A.

8 0

3 years ago

Read 2 more answers

The distance between (-5, 3) and B(5, 3) is

8090 [49]

In here, we will use the distance formula
$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

Compute the distance between (-5, 3) and (5, 3)
 $=\sqrt{\left(5-\left(-5\right)\right)^2+\left(3-3\right)^2}$

= 10

The distance between (-5, 3) and (5, 3) is 10

8 0

2 years ago