Suppose that the mean Systolic blood pressure for adults age 50-54 is 125 mmHg with a standard deviation of 5 mmHg. It is known that Systolic blood pressure is not Normally distributed. Suppose a sample of 25 adult Systolic blood pressure measurements is taken from the population. What is the interpretation of the z score used to find the probability that the average Systolic blood pressure will be less than 122 mmHg

Answers

Answer 1

Answer:

The probability cannot be determined.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

We have a sample of size less than 30, and since the distribution is not normal, the central limit theorem cannot be used, and the probability cannot be determined.


Related Questions

What is the answer to this ?

Answers

Answer:

B shows a translation of three units to the right

Type the given number as a product of prime numbers. 135​

Answers

1,135,3,45,5,27,9,and 15

Answer:

the guy on top is Wright hdjdbzudvsjahdjsvdhhdusvs

what does equal (+3) * (+9)=

Answers

Answer:

27, we know that +3 and +9 are just the same without the signs. And 3 * 9 = 27.

You complete two events of a triathlon. Your goal is to finish with an overall time of less than 100 minutes. a. Select an inequality that represents how many minutes x you can take to finish the running event and still meet your goal. Then solve the inequality. swimming-18.2 biking-45.5

Answers

Umm I honestly don’t know but I can try and help you

A company prints contest codes on its fun-size bags of
candy. Each 6-character code consists of the letter A
followed by the letter H followed by 4 of the digits 0
through 9. The digits may repeat. Which of the
following expressions gives the number of different
6-character codes that are possible?
F. 1(1)(10)(10)(10) (10)
G. 2(1)(10)(9)(8)(7)
H. 2(1)(10)(10)(10)(10)
J. 2(2)(10)(9)(8)(7)
K. 2(2)(10)(10)(10)(10)

Answers

Using the Fundamental Counting Theorem, it is found that the expression that  gives the number of different  6 -character codes that are possible is:

F. 1(1)(10)(10)(10) (10)

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the first two digits, there is only one outcome, A and H, respectively, hence [tex]n_1 = n_2 = 1[/tex].For the next four digits, as the digits may repeat, there are ten possible outcomes for each, hence [tex]n_3 = n_4 = n_5 = n_6[/tex].

Hence:

[tex]N = 1 \times 1 \times 10 \times 10 \times 10 \times 10[/tex]

And option F is correct.

To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866

The surface is frictionless,Two blocks in contact with each other move
to the right across a horizontal surface by the two forces shown

Determine the magnitude of the force exerted on the block with mass 1.4 kg by the block with mass 6.4 kg.

Answer in units of N

Answers

9514 1404 393

Answer:

  55 8/39 N ≈ 55 N

Step-by-step explanation:

The net force on the 1.4 kg block is proportional to its mass. That is, the ratio of net force on that block to the net force on the total mass is the same as the ratio of the block's mass to the total mass.

  net force on 1.4 kg = (1.4 kg)/(1.4 +6.4 kg) × (64 N -15 N) = (7/39)(49 N)

  net force on 1.4 kg = 8 31/39 N

Then the force applied by the 6.4 kg mass is ...

  64 N - 8 31/39 N = 55 8/39 N ≈ 55 N . . . . applied by 6.4 kg mass

I need to know what this is

Answers

Answer:

[tex]★\:\: \frac{3 {x}^{3} - 18 {x}^{2} + 27x}{2 {x}^{2} + 2x - 12}\:when\:x≠2,\:3 \\ = \frac{3x( {x}^{2} - 6x + 9) }{2( {x}^{2} + x - 6) } \\ = \frac{3x( {(x)}^{2} - 2 \times (3) \times (x) + {(3)}^{2} ) }{2( {x}^{2} + 3x - 2x - 6) } \\ = \frac{3x {(x - 3)}(x - 3) }{2(x(x + 3) - 2(x + 3))} \\ = \boxed{‡ \frac{3x {(x - 3)}^{2} }{2(x + 3)(x - 2)}‡}✓[/tex]

3x(x-3)²/2(x+3)(x-2) is the right answer.

What is the equation of the line that passes through the point (4,11) and is perpendicular to the line with the following equation? Y=4/3x+7

Answers

Answer:

Step-by-step explanation:

y = (4/3)x+7

Slope of the line is 4/3.

Slope of any perpendicular to the line is -¾.

Point-slope equation for line of slope -¾ that passes through (4,11):

y-11 = -¾(x-4)

Of course, you may want to rearrange it to slope-intercept form or standard form.

y = -¾x+15 slope-intercept

x+4y = 60 standard

The graph below shows the number of points each team scored how many more points did the marlins have than the torpedoes?

A 250
B 300
C 350
D 450

Answers

A. 250 should be the answer

Answer:

300

Step-by-step explanation:

Tn=n^2+bn+c. Find the values of b and c if the sequences starts with - 1,2,7,14,..​

Answers

Answer:

no

Step-by-step explanation:

no

What adaptations allow the same bacteria that live on Earth to live on the International Space Station (ISS)? (Select all that apply.)

living in an environment with increased carbon dioxide levels

living in an environment with increased radiation levels

living in an environment with increased water levels

living in an environment with increased oxygen levels

WILL GIVE BRAINLY

Answers

Answer:

living in an environment with increased carbon dioxide levels.

Step-by-step explanation:

International Space Station have higher carbon dioxide levels as compared to the earth. The earth's atmosphere has now changed due to increased carbon emission by vehicles and factories. The environmental pollution has increased and the trees are being cut which has created an environment less of oxygen and more of carbon dioxide. Bacteria's find it easy to live on earth because of increase carbon dioxide levels.

Answer:

living in an environment with increased radiation levels and living in an environment with increased carbon dioxide levels.

Step-by-step explanation:

Hope you get it right!! :))

75=0.25 X 1.33N
How do you solve for N

Answers

Answer:

N=625/3

Step-by-step explanation:

1) 0.25 ⋅ 1.44N=75

2) 0.36N=75

3) 0.36N/0.36 = 75/0.36

4) N= 625/3

Hope that helps

Have a good day

Step 1: Simplify both sides of the equation.
Step 2: Flip the equation.
Step 3: Divide both sides by 0.3325.
N = 225.56391

I need help please.

Answers

Answer:

0.1 is 5% of 2.

Step-by-step explanation:

Steps:

0.1 ÷ 5% = 2%

Answer:

2

Step-by-step explanation:

5% of 2 is 0.1

50% is 1

5% is 0.1

The measures of the three angles whose sum is 120° are in the extended ratio 2:5:8 find the exact angle measures

Answers

Answer:

ans is 16°,40°and64°

let ratio be 2x,5xand 8x

Step-by-step explanation:

their sum=120°

2x+5x+8x=120

15x=120

x=120/15=8°

2x=2×8=16°

5x=5×8=40°

8x=8×8=64°

The projected sales volume of a video game cartridge is given by the function s(p) = 3000 / (2p + a), where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant. If according to the projections, 100000 cartridges are sold at 10 dollars per cartridge, how many cartridges will be sold at 20 dollars per cartridge?

Answers

Answer: 149 cartridges will be sold at 20 dollars per cartridge.

Step-by-step explanation:

Given: The projected sales volume of a video game cartridge is given by the function [tex]s(p)=\dfrac{3000}{2p+a}[/tex], where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant.

Put s(p)=100000, p= 10, we get

[tex]100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97[/tex]

i.e. [tex]s(p)=\dfrac{3000}{2p-19.97}[/tex]

Put p=20, we get

[tex]s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149[/tex]

Hence, 149 cartridges will be sold at 20 dollars per cartridge.

A university conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.4% of the 458 members of a fitness association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period.

Define the Random Variables X and P', in words. which of the following?

a. X is the proportion of people who ran and died in the eight-year period, and P' is the number of people who ran and died in the eight-year period.
b. X is the proportion of all runners that die, and P' is the number of all runners that die.
c. X is the number of people who ran and died in the eight-year period, and P' is the proportion of people who ran and died in the eight-year period.
d. X is the number of all runners that die, and P' is the proportion of all runners that die.

Answers

Answer:

The correct answer is c.

Step-by-step explanation:

x  represents the number of the data variable that is being studied and from this data we obtain P, that is, the proportion

P is the proportion that is equal to x / n that is, x is equal to 6.41 that when divided by 458 which is equal to n and multiplied by 100 gives a proportion of 1.4%

P= 6.41÷458×100=1.4%

NEED AN ANSWER QUICKK Ayo and Ria are both travelling by train.
Ayo's train travels 90 km in 50 minutes.
Ria's train travels 476 km.
It leaves at 14:05 and arrives at 17:35.
Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer:

28

Step-by-step explanation:

I guessed it right on hegarty maths and this was the answer

-9=2x-5
Please help me now.....

Answers

-9= 2x-5

Add 5 to both sides

-4= 2x

Divide by 2

-2=x or x=-2

nickel has an approximate diameter of 20 mm and an approximate thickness of 2 mm what is the approximate volume of a stack of 40 nickels?

Answers

Answer:

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Step-by-step explanation:

A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels ([tex]V_{net}[/tex]), measured in cubic milimeters, is the product of the number of elements ([tex]n[/tex]), no unit, and the volume of each element ([tex]V[/tex]), measured in cubic milimeters. That is:

[tex]V_{net} = n\cdot V[/tex] (1)

By volume equation of right cylinder, we have the following formula:

[tex]V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h[/tex] (2)

Where:

[tex]n[/tex] - Amount of nickels, no unit.

[tex]D[/tex] - Diameter of nickel, measured in milimeters.

[tex]h[/tex] - Thickness of nickel, measured in milimeters.

If we know that [tex]n = 40[/tex], [tex]D = 20\,mm[/tex] and [tex]h = 2\,mm[/tex], then the net volume of the stack of nickels is:

[tex]V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)[/tex]

[tex]V_{net} \approx 25132.741\,mm^{3}[/tex]

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Given the endpoint of (-5, - 3) and midpoint of
of (-0.5,0)
find the coordinate point of the other endpoint

Answers

Answer:

You have to plot these points on the graph and find out what the slope is that way or find the slope using the slope form. (below) Then using the slope add the y-coordinate and x-coordinate to the appropriate places in the ordered pair (-0.5,0) this will give you your answer of ordered pair.

Step-by-step explanation:

SLOPE FORMULA-

y2-y1 / x2-x1

What is 3 meters converted to potential energy

Answers

Answer:

4 meters

Step-by-step explanation:

Which triangle is a translation of the gray triangle?
O ΔDEF
Ο ΔABC
O Neither

Answers

Triangle ABC i believe

Answer:

abc

Step-by-step explanation:

What is the answer 2/3 + 5/12 =

Answers

Answer:

then answer is 13/12

Step-by-step explanation:

(8+5)/12

13/12

Plot a point on the coordinate plane to represent each of the ratio values in the table.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the table

Time (h)          Distance (km)

    1                              2

    3                             6

    6                            12

    9                            18

As the time (h) is represented on the x-axis and the distance (km) is represented on the y-axis.

We know that the first coordinate of an ordered pair or point (x, y) is called the x-coordinate and the second coordinate is called the y-coordinate.

Thus, from the table, we get the following points:

(1, 2), (3, 6), (6, 12), and (9, 18)

The given points are plotted on the graph attached below.

From the graph, it is clear that:

Point (1, 2)

Point (1, 2) is represented at x = 1 and y = 2.

Thus, at the point (1, 2):

Speed = Distance / Time = 2/1 = 2km per hour

Point (3, 6)

Point (3, 6) is represented at x = 3 and y = 6.

Thus, at the point (3, 6):

Speed = Distance / Time = 6/3= 2km per hour

Point (6, 12)

Point (6, 12) is represented at x = 6 and y = 12.

Thus, at the point (6, 12):

Speed = Distance / Time = 12/6= 2km per hour

Point (9, 18)

Point (9, 18) is represented at x = 9 and y = 18.

Thus, at the point (9, 18):

Speed = Distance / Time = 18/9= 2km per hour

Please check the attached graph.

5, 80, 1280, 20480, 327680, ...

Answers

Answer:

It's multiplying by 16 every time... so the next answer is 5242880

Step-by-step explanation:

327680 x 16 = 5242880

5242880 thats the answer

A total of 31 microphones are to be purchased. Each microphone costs $249 estimate the total purchase price by using round numbers

Answers

Answer:

The answer is 7,500

Step-by-step explanation:

31 rounds to 30 and 249 rounds to 250. 30 times 250 is 7,500. I hope this helps.

Solve -15 =p+2.
Enter your answer in the box.
-15 = p + 2
-15 – 2 = p + 2 – 2
___ =P

Answers

Answer:

the answer is -17.......

The cylinder has a surface area of 972cm. Find x. Round to the nearest whole number.
diameter: 2x
height: 5x

Answers

Answer:

A= 2pirh +2pir^2

972=2 x pi x x x 5x + 2 x pi x x^2

972= 31.4x^2 + 6.28x^2

972=37.68x^2

x^2= 972/37.68

x^2=25.796

x= 25.796 square root

x= 5

The value of x is 5 cm.

What is a cylinder?

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

The surface area of a cylinder = 972 cm²

The surface area of a cylinder.

= 2πrh + 2πr²

Diameter = 2x

Radius = x

Height = 5x

Now,

2πrh + 2πr² = 972

2π (rh + r²) = 972

2π (5x² + x²) = 972

2π x 6x² = 972

6x² = 972/(2 x 3.14)

6x² = 154.78

x² = 25.79

x = √25.79

x = 5.08

x = 5

Thus,

x value is 5.

Learn more about cylinder here:

https://brainly.com/question/15891031

#SPJ2

how many turning points will a quartic fumction with four real zeros have?

Answers

upto four roots or zero......

In a regular polygon, all the angles have the same measure. Martin drew a regular polygon in which the sum of the interior angles was 540°. What is the measure of each angle in Martin’s drawing?

Answers

Answer:

108°

Step-by-step explanation:

Answer:

108°

Step-by-step explanation:

I got 100%

Other Questions
PLEASE HELP I NEED HELP WITH AN ALGEBRA 2 QUESTION ILL GIVE BRAINLEST Perit Industries has $210,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternatives are: Project AProject BCost of equipment required$210,000$0Working capital investment required$0$210,000Annual cash inflows$30,000$52,000Salvage value of equipment in six years$9,100$0Life of the project 6 years 6 years The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye). Using this estimate and Moore's Law, what would you predict the number of transistors per IC to be 20 years later, in 1992? Which categories of goods used by ordinary people are most affected by scarcity? Use examples from two of these categories and explain how the scarcity of these goods might arise and how this scarcity would affect most people. Which is bigger 57.8% or 0.578 ? i really need help , can anybody please help me??? (20 POINTS) How would your body repair a skinned knee? If a person visits an exercise facility, buys a new piece of fitness/sporting equipment,or just starts planning to be active, which of the five stages of change for physicalactivity are they at?PlanningMaintenancePrecontemplationContemplation a vendor had 200 balloons for sale .If he sold 125 of them,what percent remains unsold? If Angela's $98,760 home appreciates three percent a year, what is the appreciatedvalue in 5 years? Stella is going to invest in an account paying an interest rate of 7% compoundedcontinuously. How much would Stella need to invest, to the nearest ten dollars, forthe value of the account to reach $1,650 in 9 years? how many HOURS are in d days and h hours?! Select the subject of the sentence.We clapped and cheered when Joey Tribbiani finished his performance. Suppose an object is launched from ground level directly upward at 57.4 f/s Write a function to represent the objects height over time. Jayne Corporation has 10,000 shares of $15 par value common stock outstanding when it announces a 3-for-1 split. Before the split, the stock had a market price of $120 per share. After the split, how many shares of stock will be outstanding, and what will be the approximate market price per share How did the Roosevelt Corollary differ from the Monroe Doctrine A pair of shoes at the store cost $55 on the rack. If the store has a7.2% sales tax, what would the final price of the shoes be? I need help with these 7 questions ASAP pls Round the number above to the place where the 3 is located. 5,684.937 What does replication mean?