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4 years ago

7

You construct a 95% confidence interval for a population mean using a random sample. the confidence interval is 24.9less thanmu

less than31.5. is the probability that mu is in this interval 0.95? explain.

1 answer:

svet-max [94.6K]4 years ago

3 0

No. It is not that the probability that $\mu$ is in the interval is 0.95 rather we are 95% confident that the true mean of the population will be in the stated interval.

Confidence interval does not specify the probability of the occurrence of a population mean in an interval, rather it specifies the level of confidence on the interval of occurrence of the population mean.

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Please help! i dont understand

kvv77 [185]

QUESTION 1

The given inequality is

$y\leq x-3$ and $y\geq -x-2$ .

If (3,-2) is a solution; then it must satisfy both inequalities.

We put x=3 and y=-2 in to both inequalities.

$-2\leq 3-3$ and $-2\geq -3-2$ .

$-2\leq 0$ :True and $-2\geq -5$ :True

Both inequalities are satisfied, hence (3,-2) is a solution to the given system of inequality.

QUESTION 2

The given inequality is

$y\:>\:-3x+3$ and $y\:>\: x+2$ .

If (1,4) is a solution; then it must satisfy both inequalities.

We put x=1 and y=4 in to both inequalities.

$4\:>\:-3(1)+3$ and $4\:>\: 1+2$ .

$4\:>\:0$ :True and $4\:>\: 3$ :True

Both inequalities are satisfied, hence (1,4) is a solution to the given system of inequality.

Ans: True

QUESTION 3

The given inequality is

$y\leq 3x-6$ and $y\:>\: -4x+2$ .

If (0,-2) is a solution; then it must satisfy both inequalities.

We put x=0 and y=-2 in to both inequalities.

$-2\leq 3(0)-6$ and $-2\:>\: -4(0)+2$ .

$-2\leq -6$ :False and $-2\:>\:2$ :False

Both inequalities are not satisfied, hence (0,-2) is a solution to the given system of inequality.

Ans:False

QUESTION 4

The given inequality is

$2x-y\:$ and $x+y\:>\:-1$ .

If (0,3) is a solution; then it must satisfy both inequalities.

We put x=0 and y=3 in to both inequalities.

$2(0)-3\:$ and $0+3\:>\:-1$ .

$-3\:$ :True and $3\:>\:-1$ : True

Both inequalities are satisfied, hence (0,3) is a solution to the given system of inequality.

Ans:True

QUESTION 5

The given system of inequality is

$y\:>\:2x-3$ and $y\:$ .

If (-3,0) is a solution; then it must satisfy both inequalities.

We put x=-3 and y=0 in to both inequalities.

$0\:>\:2(-3)-3$ and $0\:$ .

$0\:>\:-9$ ;True and $0\:$ :True

Both inequalities are satisfied, hence (-3,0) is a solution to the given system of inequality.

Ans:True

3 0

3 years ago

<5 is a supplementary of <6 , and m<5=78 , find m<6

irakobra [83]

Answer:

m<6 is 102°

Step-by-step explanation:

Angles that are supplementary are equal to a total of 180°.

Subtract the 78 from the 180 to find your answer.

180-78=102

3 0

3 years ago

The “prize” discovery at the Nansen Crater was olivine. What valuable information did NASA learn from this sample?

Ghella [55]

Answer:

1. One valuable information NASA learnt from the sample of olivine is that some parts of Mars had been dry over a long period of time.

2. The two materials are:

i. Oxygen supply.

ii. Air temperature and pressure regulation.

Step-by-step explanation:

NASA went on a research mission on mars and observed the Nansen crater, and discovered the olivine in the crater. It was learnt from the sample of olivine that parts of Mars had been dry over a long period of time.

2. The Personal Life Support System is a part of the suit used by astronauts to create an artificial habitat condition for their body system. This suit contains some materials that preserve their lives in space. The major materials in the suit are; oxygen (for breathing purpose) and air temperature and pressure regulation.

3 0

3 years ago

X-1/x-2+x+3/x-4=2/(x-2).(4-x)

Varvara68 [4.7K]

The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

According to the statement

we have given that the equation and we have to prove that the given answer is a correct answer for those equivalent equation.

So, The given expression are:

$\frac{x-1}{x-2} +\frac{x+3}{x-4} = \frac{2}{(x-2).(4-x)}$

And we have to prove the answer.

So, For this

$\frac{x-1}{x-2} +\frac{x+3}{x-4}$

$\frac{({x-1}) ({x-4}) +({x+3})({x-2})} {(x-2) (x-4)}$

Then the equation become

$\frac{x^{2} -4x -x +4 + x^{2} -2x + 3x -6 }{(x-2) (x-4)}$

Now solve it then

$2x^{2} - 4x -2 / (x-2) (x-4)$

Now take 2 common from answer then equation become

$\frac{x-1}{x-2} +\frac{x+3}{x-4} = \frac{2}{(x-2).(4-x)}$

Hence proved.

So, The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

Learn more about equations here

brainly.com/question/2972832

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3 0

1 year ago

Juliette forgot to study for a test. Of the 150 questions on the test, she answered only 48% correctly. How many questions did

Kamila [148]

Answer:

Juliette answered 72 questions correctly

Step-by-step explanation:

48% of 150 = 72

5 0

3 years ago

Read 2 more answers