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harina [27]
3 years ago
11

The average weight of the entire batch of the boxes of cereal filled today was 20.5 ounces. A random sample of four boxes was se

lected with the following weights: 20.05, 20.56, 20.72, and 20.43. The sampling error for this sample is ________.
Mathematics
1 answer:
zhenek [66]3 years ago
4 0

Answer:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s= 0.286

And then the estimator for the standard error is given by:

SE= \frac{0.286}{\sqrt{4}}= 0.143

Step-by-step explanation:

For this case we have the following dataset given:

20.05, 20.56, 20.72, and 20.43

We can assume that the distribution for the sample mean is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for this case would be:

SE= \frac{\sigma}{\sqrt{n}}

And we can estimate the deviation with the sample deviation:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s= 0.286

And then the estimator for the standard error is given by:

SE= \frac{0.286}{\sqrt{4}}= 0.143

You might be interested in
Question 10 (3 points)
Zinaida [17]

Answer:

$3,090.64

Step-by-step explanation:

We shall allocate a random letter to each value, with that I explain the formula.

Initial value of investment = $5,003.86  = P

Rate of interest = 3.7% = R

Compounding interval in a year = 365 = I

Total period = 13 years = T

Value of investment in compound interest formula shall be:

= P \times (1 + \frac{R}{(I})^{(I \times T)}

Now, putting values in the above equation:

= 5,003.86 \times (1 + \frac{0.037}{365}) ^{(365\times13)}

= $8,094.50

Thus, interest earned = Total value of investment on maturity - Initially invested amount

= $8,094.50 - $5,003.86 = $3,090.64

4 0
2 years ago
What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)
BigorU [14]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

Thus, the equation is of the form:

y = - \frac {3} {2} x + b

We substitute one of the points and find "b":

-4 = - \frac {3} {2} (4) + b\\-4 = - \frac {12} {2} + b\\-4 + 6 = b\\b = 2

Finally, the equation is of the form:

y = - \frac {3} {2} +2

ANswer:

y = - \frac {3} {2} +2

4 0
3 years ago
Find an odd number with 3 digits such that all the digits are different and add up to 15. The difference between the first two d
Serjik [45]

Answer:

The three digit number = 951

Step-by-step explanation:

Let suppose the numbers are:

= abc

According to given condition:

a+ b + c = 15  -------------eq1

Also, given the difference between the first two digit = the difference between the last two digits:  

==> l a-b l = l b-cl  

==> (a-b) = (b-c)  

==> (a+c) = 2b

Now we will substitue in eq1

==> a+ b + c = 15

==> 2b + b = 15

==> 3b = 15

Dividing both sides by 3 we get:

b =5

a + c = 2b

a+ c = 10

a = 10 -c ..........(2)

We know that"  

(a-b) = (b-c)

==> a > b+c

==> a > 5 + c

==> 10 -c > 5 +c  

==>5 > 2c

==> 2.5 > c

As c is an odd number so c will be equal to 1

c = 1

a = 10 -1

a = 9

The three digit number = 951

The hundred digit is greater than the sum of the tens and ones digits

i hope it will help you!

6 0
3 years ago
The expression 60(0.75)^x represents the amount of a drug in milligrams that remains in the bloodstream after x hour. What was t
kogti [31]
It would be 60.

a(b)^x
Since a/ 60 would represent initial value.
7 0
2 years ago
The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?​
pantera1 [17]

Answer:

The diameter is 22.92 inches

Step-by-step explanation:

Hello, I can help you with this question

in this case we know the circumference of a circle, and we need to find out the diameter.

let's remember

the radius of a circle can be defined as

radius=\frac{diameter}{2}\\ or\\diameter=2* radius( equation\ 1)\\

also

circumference=2*\pi  *radius(equation2)\\

Step1

replace the value of the circumference of tyler's bike in equation 2  and isolate radius to find radius

72 inches=2*\pi  *radius\\\\radius=\frac{72}{2*\pi  } \radius =11.46\ inches

Step 2

now, replace the value of radius into equation 1 to find diameter

radius=11.46 in

diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92

so, the diameter is 22.92 inches

I really hope it helps, have a great day.

5 0
3 years ago
Read 2 more answers
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