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3 years ago

BRAINLIEST AND 50 PTS!!!!!!!!!!HURRRY!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

kondor19780726 [428]3 years ago

6 0

Answer:

Step-by-step explanation:

I did it

Anna11 [10]3 years ago

3 0

34 pls give me a thanks

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A laboratory scale is known to have a standard deviation (sigma) or 0.001 g in repeated weighings. Scale readings in repeated we

weqwewe [10]

Answer:

99% confidence interval for the given specimen is [3.4125 , 3.4155].

Step-by-step explanation:

We are given that a laboratory scale is known to have a standard deviation (sigma) or 0.001 g in repeated weighing. Scale readings in repeated weighing are Normally distributed with mean equal to the true weight of the specimen.

Three weighing of a specimen on this scale give 3.412, 3.416, and 3.414 g.

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

P.Q. = $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean weighing of specimen = $\frac{3.412+3.416+3.414}{3}$ = 3.414 g

$\sigma$ = population standard deviation = 0.001 g

n = sample of specimen = 3

$\mu$ = population mean

Here for constructing 99% confidence interval we have used z statistics because we know about population standard deviation (sigma).

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

P(-2.5758 < N(0,1) < 2.5758) = 0.99 {As the critical value of z at 0.5% level

of significance are -2.5758 & 2.5758}

P(-2.5758 < $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ < 2.5758) = 0.99

P( $-2.5758 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.5758 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.99

P( $\bar X-2.5758 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.5758 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.99

99% confidence interval for $\mu$ = [ $\bar X-2.5758 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+2.5758 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $3.414-2.5758 \times {\frac{0.001}{\sqrt{3} } }$ , $3.414+2.5758 \times {\frac{0.001}{\sqrt{3} } }$ ]

= [3.4125 , 3.4155]

Therefore, 99% confidence interval for this specimen is [3.4125 , 3.4155].

6 0

3 years ago

Hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhjnrby

pishuonlain [190]

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhlb

Step-by-step explanation:

whats your question

3 0

3 years ago

Need help asap plz help me

Artemon [7]

Answer:

idek not gonna lie

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

If Mike does his mathematics homework today, the probability that he will do it tomorrow is 0.8. The probability that he will do

harina [27]

Answer:

d. 14:11

Step-by-step explanation:

There is a 7 in 10 chance that Mike does his homework today and a 8 in 10 chance he will do it tomorrow, the probability that he will do it both today and tomorrow is:

$P = \frac{7}{10}* \frac{8}{10}\\P=\frac{56}{100}=0.56$

The odds are the probability that an event occurs over the probability that it does not occur:

$Odds = \frac{0.56}{1-0.56}=\frac{56}{44}=\frac{14}{11}$

The odds that he will do it both today and tomorrow are 14:11.

3 0

4 years ago

Fill in the missing value for Y, then click DONE. y = 2x + 3

BARSIC [14]

Answer:

x = 2 so y = 7

x = 4 so y = 11

Step-by-step explanation:

y = 2x + 3

x = 0 so y = 2(0) + 3 | y = 3

x = 2 so y = 2(2) + 3 | y = 7

x = 4 so y = 2(4) + 3 | y = 11

x = 6 so y = 2(6) + 3 | y = 15

6 0

2 years ago