For patients who have been given a diabetes test, blood-glucose readings are approximately normally distributed with mean 127 mg/dl and a standard deviation 10 mg/dl. Suppose that a sample of 4 patients will be selected and the sample mean blood-glucose level will be computed. Enter answers rounded to three decimal places.
According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between
the lower-bound of [BLANK] and the upper-bound of [BLANK]

Answers

Answer 1

Answer:

Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.

Step-by-step explanation:

Empirical Rule

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question:

Mean of 127, standard deviation of 10.

For the sample mean:

By the Central Limit Theorem, mean is 127, while the standard deviation is [tex]s = \frac{10}{\sqrt{4}} = 5[/tex]

According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between?

By the Empirical Rule, within 2 standard deviations of the mean. So

127 - 2*5 = 117 mg/dl

127 + 2*5 = 137 mg/dl.

Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.


Related Questions

PLS ANSWER QUICK, HELP AND EXPLAIN

Answers

Answer:

136 ft²

Step-by-step explanation:

floor = 7 x 6 = 42 ft²

sides = 2 x 7 x 5 = 70 ft²

ends = 1/2 x 6 x 4 x 2 = 24 ft²

42 + 70 + 24 = 136 ft²

Can someone help me with this pls [cry]

Answers

Answer: B

Step-by-step explanation:

JUST DID A QUIZ WITH IT

What is the volume of the square pyramid?

Answers

To find the volume of a square-based pyramid, use the formula V = A(h/3), where V is the volume and A is the area of the base.

AB and BC form a right angle at point B. If A=(-3,-1) and B=(4,4), what is the equation of BC
A. X+3y=16
B. 2x+y=12
C. -7x-5y=-48
D. 7x-5=48

Answers

Answer: D. -7x-5y=-48

Step-by-step explanation:

The slope of AB is [tex]\frac{-1-4}{-3-4}=\frac{5}{7}[/tex]. Since perpendicular lines have slopes that are negative reciprocals, the slope of BC is -7/5.

Substituting into point-slope form,

[tex]y-4=-\frac{7}{5}(x-4)\\\\5y-20=-7(x-4)\\\\5y-20=-7x+28\\\\\boxed{-7x-5y=-48}[/tex]

In an examination, 40% students passed in Maths only, 30% passed in Science only and 10%
students failed in both the subjects. If 400 students passed in Science, find the total number of
students by drawing a Venn diagram.




help me ​

Answers

Answer:

The total number of students is 800.

Step-by-step explanation:

Given that in an examination, 40% students passed in Maths only, 30% passed in Science only and 10% students failed in both the subjects, to determine the total number of students if 400 students passed in Science the following calculation must be performed:

100 - 40 - 30 - 10 = 20

20 + 30 = 50

50 = 400

100 = X

100 x 400/50 = X

800 = X

Thus, the total number of students is 800.

PLEASE ANSWER ASAP FOR BRAINELST!!!!!!!!!!!!!!!!!!!
Find the area of the figure.
NO LINKS

Answers

ANSWER:
147.5ft squared

STEP BY STEP:
find the area of one shape, then the other, then add the areas together.

hope this helps!

What is the volume of the square pyramid

Answers

Answer:

V≈2933.33

Step-by-step explanation:

(explanation in picture)

Please brainliest!

find the mean 12,13,9,5,11,10

Answers

Answer:

10

Step-by-step explanation:

5+9+10+11+12+13=60 divided by 6 = 10

Mean = Sum of all observations/Number of observations

Mean = 12 + 13 + 9 + 5 + 11 + 10/6

=60/6

= 10

dont forget to like and mark me

Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.

Answers

Answer:

60 degrees (first option)

Step-by-step explanation:

as a triangle adds up to 180 degrees and it has 3 sides so you divide 180 by 3 and you get 60 degrees which goes for each corner.

if you want to check just times 60 by 3 and you get 180

Write the slope-intercept form of the equation of the line.

Answers

Answer:

y = x + 2

Step-by-step explanation:

Choose any two points from the graph

(0, 2) ;  (-2 , 0)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]= \frac{0-2}{-2-0}\\\\= \frac{-2}{-2}\\\\= 1[/tex]

y - intercept = 2    

y = mx + b              {m = 1 and b = 2}

y = x + 2


HELP PLS. Greatest change

Answers

Answer:

looks like D but im not sure

Step-by-step explanation:

Look at the slope in each equation. For the first one is 15, the second is 25, the third is 40, and the fourth is 45.

What is the value of the missing angle?

Answers

68+47= 115
180-115= 65
the missing angle is 65°

Answer:

65°

Step-by-step explanation:

All angles in a triangle added up make 180° so you have to add 68° and 47° whih equals 115° and then simply subtract it from 180° so 180°-115°=65°

Which type of parent function does the equation f (x) = a represent?

Answers

Parent functions are the base function of a family function. [tex]f(x) = \sqrt x[/tex] is the parent function of the square root function

Given that:

[tex]f(x) = \sqrt x[/tex]

The parent function of a cube root function is:

[tex]f(x) = x^3[/tex]

The parent function of a reciprocal function is:

[tex]f(x) = \frac 1x[/tex]

The parent function of an absolute function is:

[tex]f(x) = |x|[/tex]

The parent function of a square root function is:

[tex]f(x) = \sqrt x[/tex]

By comparing the above parent functions to [tex]f(x) = \sqrt x[/tex], we can conclude that [tex]f(x) = \sqrt x[/tex] is the parent function of a square root function.

Hence, (d) is true

Read more about parent functions at:

https://brainly.com/question/17939507

A population of bacteria in a petri dish is modeled by the function p(x)=88x , where x is the number of hours that have elapsed since the bacteria was introduced to the petri dish.

When will there be fewer than 512 bacteria?

Enter your answer rounded to the nearest hundredth in the boxes.

Answers

Answer:

3.14

Step-by-step explanation:

The answer is going to be 3.14

Hope it helps!

What is the area of the figure? I give brainliest and thanks! :)

Answers

Step-by-step explanation:

triangle area is bh/2

(10 x 22)/2=110

area of big rectangle is

length x width=area

19 x 9=171

area of smaller rectangle is

length x width = area

9 x 6=54

add up all areas

110+171+54=335

Hope that helps :)

Walmart is selling
school supplies: 5
notebooks only cost
$4.02! How much
would znotebooks
cost? What about 7
notebooks?
Plz help! :)

Answers

Answer:

2 notebooks are $2.48, 7 notebooks are $8.68

Step-by-step explanation:

Unit rate is 1.24

1.24x2= $2.48

1.24x7= $8.68

NO LINKS ONLY ANSWERS (25 POINTS)

Arrange the equations in the correct sequence to rewrite the formula for displacement, d=vt-1/2at^2, to find a. In the formula, d is displacement, v is final velocity, a is acceleration, and t is time.

There is a total of 3 answer slots.

Answers

Answers:

d = v(initial)t + 1/2(at^2)

v(final) = √(v(initial)^2 + 2ad)

a = 2(d-v(initial)t) / t^2

t = -v(initial)±√(v(initial)^2 + 2ad) / a

Answer:

1. vt-d=1/2at^2

2. d-vt=1/2at^2

3. a=2(d-vt)/t^2

Step-by-step explanation:

help me plsssssssss asap​

Answers

Answer:

B

Step-by-step explanation:

All you have to do is count, and you'll see 5 faces, 6 vertices, and 9 edges

its easy to do.

The answer would be B.

please help me with this :D

Answers

The answer is c perpendicular bisector:)

A football stadium holds 5000 people.
On a match day 5 of the stadium is full.
40% of the children are girls.
The ratio of adults to children is 2 : 3
How many of the children attending are boys?

Answers

Answer:

720 boysss

Step-by-step explanation:

Yep thts the answerrr...

What is the total surface area of a cylinder with a radius of 12 mm and height of 3 mm? (Use 3.14 for it.) DO NOT PUT LABEL ON ANSWER.​

Answers

Answer:

A≈1130.97

------------------------------------------------------

Step-by-step explanation:

A=2πrh+2πr2=2·π·12·3+2·π·122≈1130.97336



Subtract y from 5....

Answers

Answer:

5y-y= 5? I don’t know  I’m not totally sure.

Step-by-step explanation:

HELP ME RN. PLS PLS PLS

Answers

it is the 3 one and it is esay

A worm moves forward 3/8 inch every 5 minutes for 1 hour 25 minutes. How far does the worm move in this time? Explain

Answers

Answer:

6 3/8 inches

Step-by-step explanation:

let 'x' = distance in 1 hr, 25 minutes (which is 85 minutes)

(3/8 ÷ 5) = x ÷ 85

cross-multiply:

5x = 255/8

40x = 255

x = 6 3/8

11. The cost of oranges at a local grocery store is shown in the table below.
Number of
Oranges
3
7
10
12
Total Cost
$1.26
$2.94
$4.20
$5.04
Which of the following represents the unit rate for the oranges?
O A. $1.68 for 1 orange
OB. $0.84 for 1 orange
O C. $1.26 for 1 orange
O D. $0.42 for 1 orange

Answers

Answer:

D. $0.42 for 1 orange

Step-by-step explanation:

Divide the number of oranges by the corresponding total cost.

Ex. 5.04 ÷ 12 = 0.42

Answer: 0.42

Step-by-step explanation: 0.42+0.42+0.42= 1.26

56 + 72 = ( + )
help plz

Answers

Answer:

128 = +

Step-by-step explanation:

56 + 72  = 128 (+)

find the sale price of the item. round to two decimal places if necessary original price $225.60 markdown 80 %

Answers

Answer:

gan if you could anssbdhe

Step-by-step explanation:

student were asked to choose their favorite food and 5/6 chose either pizza or tacos if 2/6 of the students chose pizza what fraction chose tacos

Answers

Answer:

3/6 or 1/2

Step-by-step explanation:

the amount that chose pizza = 2/6

5/6 = the amount that chose pizza + the amount that chose tacos

5/6 = 2/6 + the amount that chose tacos

the amount that chose tacos = 5/6 - 2/6

the amount that chose tacos = (5-2)/6

the amount that chose tacos=3/6=1/2

Answer:

3/6

Step-by-step explanation:

someone help i cannot open files please type ​

Answers

Answer:

175..................................

how a single number could be a ratio?

Answers

Step-by-step explanation:

For example, the number 5 can be written as [tex]\frac{5}{1}[/tex] . And that [tex]\frac{5}{1}[/tex] can also be written as 5:1, which is a ratio. By converting the single number to a fraction, then converting the fraction into a ratio, you can turn a number into a ratio.

Hope this helps.

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