Choose the correct simplification of the expression (x?y)?

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

2 years ago

What is the slope of the line 7, 0 and -5, 0

lutik1710 [3]

Answer:

Slope = (Y2 -Y1) ÷ (X2 -X1)

Slope = (0 -0) / (-5, -7)

Slope = 0 / -12 = 0

The slope of the line is zero. It is perfectly horizontal.

Step-by-step explanation:

6 0

2 years ago

Apply your knowledge of square roots to solve equations involving them. Show your step-by-step solution. Remember, each problem

Elena L [17]

Remember to include the positive and negative roots

(7x-2)^2=256
sqrt both sides
7x-2=+/-16
add 2 to both sides
7x=2+/-16
divdide both sides by 7
x=(2+/-16)/7)

x=(2+16)/7=18/7=2 and 4/7
x=(2-16)/7=-14/7=-2

x=2 and 4/7 or -2

3 0

2 years ago

Answer for Brainliest 1)7/4+5/8= 2)3/2+4/3= 3)2/3+10/7= 4)4-3/17

Sunny_sXe [5.5K]

Answer:

See below.

Step-by-step explanation:

1) 7/4 + 5/8

= 14/8 + 5/8

= 19/8 or 2 3/8

2) 3/2 + 4/3

= 9/6 + 8/6

= 15/6

= 5/2 or 2 1/2

3) 2/3 + 10/7

= 14/21 + 30/21

= 44/21 or 2 2/21

4) 4 - 3/17

= 68/17 - 3/17

= 65/17 or 3 14/17

5 0

1 year ago

Read 2 more answers

8 Round to nearest hundred thousand. 755,787

Lelu [443]

The answer is 800,000

3 0

3 years ago

Read 2 more answers