Refer to the accompanying data set and construct a % confidence interval estimate of the mean pulse rate of adult females; then do the same for adult males. Compare the results. Click the icon to view the pulse rates for adult females and adult males. Construct a % confidence interval of the mean pulse rate for adult females. nothing bpm nothing bpm (Round to one decimal place as needed.) Construct a % confidence interval of the mean pulse rate for adult males. nothing bpm nothing bpm (Round to one decimal place as needed.) Compare the results.
A. The confidence intervals overlap, so it appears that there is no significant difference in mean pulse rates between adult females and adult males.
B. The confidence intervals overlap, so it appears that adult males have a significantly higher mean pulse rate than adult females.
C. The confidence intervals do not overlap, so it appears that adult females have a significantly higher mean pulse rate than adult males.
D. The confidence intervals do not overlap, so it appears that there is no significant difference in mean pulse rates between adult females and adult males.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The 95% confidence interval of mean pulse rate for adult female is [tex]71.98 < \mu < 79.88 [/tex]
The 95% confidence interval of mean pulse rate for adult male is [tex]62.89 < \mu < 70.57 [/tex]
The correct option is C
Step-by-step explanation:
Generally the sample mean for Male pulse rate is mathematically represented as
[tex]\= x_1 = \frac{\sum x_i }{n}[/tex]
= > [tex]\= x_1 = \frac{81 + 74 + \cdots + 59 }{40 }[/tex]
= > [tex]\= x_1 = 66.73[/tex]
Generally the standard deviation for male pulse rate is mathematically represented as
[tex]\sigma_1 = \sqrt{\frac{\sum (x - \= x)^2 }{n-1 } }[/tex]
=> [tex]\sigma_1 = \sqrt{\frac{\sum (81 - 66.73 )^2 + (74 - 66.73 )^2+ \cdot + (59 - 66.73 )^2 }{40-1 } }[/tex]
=> [tex]\sigma_1 = 12.24[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma_1 }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{12.4 }{\sqrt{40} }[/tex]
=> [tex]E =3.84 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x_1 -E < \mu < \=x_1 +E[/tex]
=> [tex]66.73 -3.84 < \mu < 66.73 +3.84 [/tex]
=> [tex]62.89 < \mu < 70.57 [/tex]
Generally the sample mean for Female pulse rate is mathematically represented as
[tex]\= x_2 = \frac{\sum x_i }{n}[/tex]
= > [tex]\= x_2 = \frac{81 + 94 + \cdots + 73 }{40 }[/tex]
= > [tex]\= x_2 = 75.93[/tex]
Generally the standard deviation for Female pulse rate is mathematically represented as
[tex]\sigma_2 = \sqrt{\frac{\sum (x - \= x)^2 }{n-1 } }[/tex]
=> [tex]\sigma_2 = \sqrt{\frac{\sum (81 - 66.73 )^2 + (94 - 66.73 )^2+ \cdot + (73 - 66.73 )^2 }{40 } }[/tex]
=> [tex]\sigma_2 = 12.73[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma_2 }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{12.73 }{\sqrt{40} }[/tex]
=> [tex]E =3.95 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x_2 -E < \mu < \=x_2 +E[/tex]
=> [tex]75.93 -3.95 < \mu < 75.93 + 3.95 [/tex]
=> [tex]71.98 < \mu < 79.88 [/tex]
Related Questions
Can you please help me solve for the area
Answers
Answer:
area is equal to 198 cm^2
Step-by-step explanation:
the height h of the left triangle can be obtained by
Pytagoras theorem:
[tex]5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12[/tex]
the, the area of the left triangle is
[tex]A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30[/tex]
the area of the right triangle is
[tex]A_2=\frac{2*12}{2} \\A_2=12[/tex]
and the area of the rectangle in the middle is
[tex]A_3=(13)(12)\\A_3=156[/tex]
Por tanto, el area total sera
[tex]A=A_1+A_2+A_3\\A=30+12+156\\A=198[/tex]
p=3y/q solve for y make sure to add steps pls
Answers
Answer:
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
Step-by-step explanation:
Linear equations are the equations that are degree one equations. When it is asked to solve an equation for a specific variable that means that the specified variable has to be isolated on one side of the equation i.e. in the given question solving for y means isolating y on one side of the equation.
Given equation is:
[tex]p = \frac{3y}{q}[/tex]
Multiplication property of equality(Multiplying both sides by q)
[tex]p*q = \frac{3y}{q} * q\\pq = 3y[/tex]
Division property of equality(Dividing both sides by 3)
[tex]\frac{pq}{3} = \frac{3y}{3}\\\frac{pq}{3} = y[/tex]
Hence,
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
What is the first step needed to solve 2 over 5 multiplied by x minus 6 equals negative 16?
Subtract 16 from both sides
Add 6 to both sides
Divide both sides by 5
Multiply both sides by 2
Answers
Answer:
The correct answer is D.
Step-by-step explanation:
4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= - 16t^2+ 1500 gives the jumper's height h in feet during the free fall att seconds
a. How long is the jumper free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h?
Answers
We have a jumper that jumps from 1500ft above the ground, such that its height as a function of time is given by:
h(t) = -16*t^2 + 1500
The solutions are:
A) 5.59 seconds
B) 5.91 seconds
C) D = (0s, 9.68s)
R = [0ft, 1500ft]
Notice that when t = 0, h = 1500, then at the initial time (t = 0) the height is 1500 (in ft), which means that the zero of the height is the ground.
a) How long is the jumper free fall if the parachute opens at 1000 ft?
Here we need to solve:
h = 1000 = -16*t^2 + 1500
Now we just need to solve this for t:
16*t^2 = 1500 - 1000 = 500
t^2 = 500/16 = 31.25
t = √31.25 = 5.59
So it takes 5.59 seconds to open the parachute.
B) similar to before, this time we need to solve:
h = 940 = -16*t^2 + 1500
16*t^2 =1500 - 940 = 560
t^2 = 560/16 = 35
t = √35 = 5.91
So it takes 5.91 seconds to open the parachute.
C) The domain is the set of inputs that we can use in the function.
The minimum of the domain is t = 0, when the jumper jumps.
To find the maximum of the domain we need to find the maximum time at which he could open the parachute, that is when h = 0ft, just in the ground.
Then we solve:
h = 0 = -16*t^2 + 1500
16*t^2 = 1500
t = √(1500/16) = 9.68
Then a reasonable domain is (0s, 9.68s)
And the range is the set of possible outputs, which will be all the possible heights of the jumper. We know that all of these are between 0ft and 1500ft, thus the range is [0ft, 1500ft]
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The life expectancy (M) in the United States is 85 with a standard deviation of 6 years. A random sample of 36 individuals is selected. What is the probability that the sample mean will be between 82.5 and 86 years?
Answers
Answer:
The probability that the sample mean will be between 82.5 and 86 years is 0.8351.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The information provided is:
[tex]\mu=85\\\sigma=6\\n=36[/tex]
As the sample size is large enough the Central Limit Theorem can be used to approximate the sampling distribution of sample mean life expectancy (M) in the United States.
Compute the probability that the sample mean will be between 82.5 and 86 years as follows:
[tex]P(82.5<\bar X<86)=P(\frac{82.5-85}{6/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{86-85}{6/\sqrt{36}})\\\\=P(-2.5<Z<1)\\\\=P(Z<1)-P(Z<-2.5)\\\\=0.84134-0.00621\\\\=0.83513\\\\\approx 0.8351[/tex]
Thus, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.
The probability that the sample mean will be between 82.5 and 86 years is 0.8351.
Standard deviation σ = 6
Sample size n =36
What is the central limit theorem?The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.
Since the sample size is significant i.e. large, so the given scenario can be treated as normally distributed as per the central limit theorem.
So, the standard deviation of sample means = σ/√n
The probability that the sample mean will be between 82.5 and 86 years:
[tex]P(82.5 < X < 86) = P(\frac{82.5-85}{\frac{6}{\sqrt{36} } } < Z < \frac{86-85}{\frac{6}{\sqrt{36} } } )[/tex]
[tex]P(-2.5 < Z < 1)=P(Z < 1)-P(Z < 2.5)[/tex]
[tex]P(-2.5 < Z < 1) =0.8413-0.0062=0.8351[/tex]
Therefore, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.
To get more about the central limit theorem visit:
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The radius of a circle is 3 feet. What is the circle's area?
Answers
Answer:
6
Step-by-step explanation:
Answer:1.5 feet
Step-by-step explanation: your welcome
for f(x) =4x-1 and g(x) = x2 - 5, find (f-g)(x)
Answers
Answer:
(f - g)(x) = -x² + 4x + 4
General Formulas and Concepts:
Pre-Algebra
PropertiesAlgebra I
Combining like termsFunction notationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 1
g(x) = x² - 5
(f - g)(x) = f(x) - g(x)
Step 2: Find
Substitute: (f - g)(x) = 4x - 1 - (x² - 5)Distribute: (f - g)(x) = 4x - 1 - x² + 5Combine like terms: (f - g)(x) = -x² + 4x + 44x -1 -2x +5
2x +4
What is the perimeter of the figure?
A. 20.0 cm
B. 23.0 cm2
C. 25.0 cm2
D. 11.0 cm
Answers
Answer:
Answer is D, all you do is add the numbers
The perimeter of the figure is 20 cm.
The perimeter of the figure is the sum of the whole sides. When the whole sides of the figure is added the perimeter is known. Therefore,
perimeter = 5 cm + 3 cm + 1 cm + 2cm + 4cm + 5 cm
perimeter = 8 cm + 3cm + 9cm
perimeter = 20 cm
The perimeter of the figure = 20 cm
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Which term best describes objects that have length, width, and height?
A. Two-dimensional
B. One-dimensional
C. Three-dimensional
D. Zero-dimensional
Answers
Answer:
C
Step-by-step explanation:
hope this helps
Answer: c
Step-by-step explanation:
You have $20 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=20$ represents this situation, where x is tubes of lip balm and y is bottles of hand sanitizer. How many bottles of hand sanitizer can you buy when you do not buy any tubes of lip balm?
Answers
Answer:
13
Step-by-step explanation:
20÷1.5 since there is not X
A book company publishes 749 copies of
a novel and distributes them to 7 bookstores.
If each bookstore were to receive the same
number of copies, how many copies would
be sent to each store?
Answers
Answer:
107 copies to each books store
= 107
107 copies would be received from each bookstore
Haven’t been able to figure this out, can someone help?
Answers
Answer:
D reorder the terms using communitive properties
because there is nothing else to do with this problem
Step-by-step explanation:
8 3√25 k
I checked the other problems and K was 12
Hope this helps ?
Pllls Help ill give brainliesstttt
Answers
Number one is 16
number two is 30
Number 3 is 100
Number four is 50
Which product matches the shading on the grids?
Answers
Answer:
I believe it is D. not sure tho
What equation represents the line shown
A.y=2x+2
B.y=-2x+2
C.y=1/2x+2
D.y=1/2x+-2
Answers
B. -2x+2 since it’s the only line that has a negative slope
Answer:
The answer must be either C or D but I think it is D
Step-by-step explanation:
sorry if I am wrong
3(x+6)=3x + _
Please asap
Answers
Answer:
3x + 18
General Formulas and Concepts:
Pre-Alg
Distributive PropertyStep-by-step explanation:
Step 1: Define expression
3(x + 6)
Step 2: Expand
Distribute 3 to both terms: 3x + 18Answer
3x+18 or 3x+9 but I'm not sure which one
There are 8 classroom in a particolar
School. The number of student in each classroom
range from 25 to 30, what is the total number
of student in the School?
Answers
Answer:
25 times 8 kid its easy then do the answer is greater than or equal to x
Step-by-step explanation:
Solve for x: 3 − (2x − 5) −8
c. x −3
Answers
Answer:
-8cx−2x+5
Step-by-step explanation:
solve and evaluate expression
Answer:
hshd
Step-by-step explanation:
hhshahj
What is the sum of -16/8 and 2
Answers
Answer:
0
Step-by-step explanation:
Answer:
the answer is 0
Step-by-step explanation:
hope this helped,brainliest?
please help - it neeeeddd this - im going to fail - i will give you a lot of points
Answers
The answer is one of the last two. I am pretty sure that it is corresponding but I could be wrong.
Answer:
389202838
Step-by-step explanation:
hey guys what is this type of equation/ question called 1 < x < 30
Answers
Answer:
2,3,4,5,6,7,8,9,10,...29
Step-by-step explanation:
A company refinishes wood floors for $1.50 per square foot. Makayla hires the company to refinish 1,000 square feet
in her home. How much does she pay for the refinishing work?
$500
$1,000
$1,500
$5,000
Answers
Answer:
The correct answer is $1,500
Step-by-step explanation:
hope this helps
Solve the problem. Sven can type 57 words per minute. How many words would he type in hour (40 minutes)? 2280 words 86 words 38 words 1520 words
Answers
Answer:
Sven would type 2280 words every 40 minutes.
Step-by-step explanation:
Multiply 57 by 40 and that should get you 2280.
Now, if it was truly an hour, you would multiply 57 by 60. The answer should be 3420.
Leila bought 3 bananas, which weighed a total of 3/4 of a pound . if each banana weighed the same amount , what is the weight of each banana ?
Answers
Answer:
1/4
Step-by-step explanation:
3/4 (total weight)
3 bananas
(3/4)/3=1/4
PLS GIVE BRAINLIEST
Jessie is playing a game and bets $5 on the come out roll. If a 7 or 11 is rolled, she wins $5. This happens with a probability of 29. If a 2,3,or12 is rolled, she loses her $5. This has a probability of 19. If any other number is rolled, she does not win or lose, and the game continues. Find the expected value for Jessie on the come out roll.
Answers
Answer:
.
Step-by-step explanation:
We want to find the expected value for Jessie on the come out roll.
The expected value is EV = $0.50
We know that for an event with outcomes {x₁, x₂, ..., xₙ}, each with probability {p₁, p₂, ..., pₙ}, the expected value is given by:
EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ
Where the probabilities are written in decimal form.
We have the outcomes:
x₁ = winning $5.
p₁ = 0.29
x₂ = losing $5
p₂ = 0.19
x₃ = not win nor lose
p₃ = 1 - 0.19 - 0.29 = 0.52
Then the expected value is:
EV = $5*0.29 - $5*0.19 + $0*0.52 = $0.50
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Probability please answer♀️ Helppp please
find the expectation e(x) and variance var(x) for the task
suppose you choose a real number x from the interval [2, 10] with a density function of the form f(x) = c/x , where c is a constant
Answers
Step-by-step explanation:
Let X be a random variable with PDF given by
fX(x)={ cx2 |x|≤1 0 otherwise
Find the constant c.
Find EX and Var(X).
Find P(X≥
1
2
).
help help help pls pls ASAP
Answers
Answer:
#6 slope is -1/2 and y intercept is 4
#8 slope is 1/3 and y intercept is -2
Step-by-step explanation:
#8- slope -1/3 y-intercept -2
This is statistics. Please answer fast
Answers
Answer:
This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.
Step-by-step explanation:
z = (x - mu)/sd
z = (2625 - 2600)/50 = 25/50 = 0.5.
Consulting the z-table, P(z <= 0.5) = 0.6915.
P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.
I hope this helped! <3
For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 44 in.3 and is constructed using the least amount of metal. (Round your answers to two decimal places.)
Answers
Answer:
[tex]1.91\ \text{in}[/tex]
[tex]3.84\ \text{in}[/tex]
Step-by-step explanation:
V = Volume of cylinder = [tex]44\ \text{in}^3[/tex]
h = Height of cylinder
r = Radius of cylinder
Volume of cylinder is given by
[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{44}{\pi r^2}[/tex]
Total surface area of a cylinder is given by
[tex]S=2\pi r^2+2\pi rh\\\Rightarrow S=2\pi r^2+2\pi r\times\dfrac{44}{\pi r^2}\\\Rightarrow S=2\pi r^2+\dfrac{88}{r}[/tex]
Differentiating with respect to radius
[tex]\dfrac{dS}{dr}=4\pi r-\dfrac{88}{r^2}[/tex]
Equating with zero
[tex]4\pi r-\dfrac{88}{r^2}=0\\\Rightarrow 4\pi r=\dfrac{88}{r^2}\\\Rightarrow r^3=\dfrac{88}{4\pi}\\\Rightarrow r=(\dfrac{22}{\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.91\ \text{in}[/tex]
Double derivative of S
[tex]\dfrac{d^2S}{dr^2}=4\pi+176>0[/tex]
So [tex]r[/tex] is minimum at [tex]\dfrac{dS}{dr}=0[/tex]
[tex]h=\dfrac{44}{\pi r^2}=\dfrac{44}{\pi 1.91^2}\\\Rightarrow h=3.84\ \text{in}[/tex]
So the radius and height of the cylinder is [tex]1.91\ \text{in}[/tex] and [tex]3.84\ \text{in}[/tex] respectively such that the least amount of metal is used.
Write the conclusion:
If Charlie goes to the store, then Harry loves school
A. Charlie doesn't go to the store
B. Harry does not love school
C. Charlie goes to the store
D. Harry loves school
a. then Harry loves school
b. Harry loves school
c. Charlie goes to the store,
d. Then Charlie goes to the store,
Question 5
Write the converse:
If the team does not play on Tuesday then the project is not due Friday.
a. If the project is not due Friday then the team does not play on Tuesday
b. If the team plays on Tuesday then the project is due FridayThis answer is incorrect.
c. If the project is due Friday then the team plays on Tuesday
d. The team plays on Tuesday if and only if the project is due Friday.
Question 7
Write the converse:
If Don goes to the store then George doesn't go to the store.
A. If George doesn't go to the store then Don goes to the store
B. Don doesn't go to the store if and only if George goes to the store.
C. If George goes to the store then Don doesn't go to the store
D. If Don doesn't go to the store then George goes to the store
a. If George doesn't go to the store then Don goes to the store
b. Don doesn't go to the store if and only if George goes to the store.
c. If George goes to the store then Don doesn't go to the store
d. If Don doesn't go to the store then George goes to the store
Question 9
Write a counterexample:
If the product of two numbers is 80, then one number must be 10.
a. x = 10 and y = 8
b. x = 1 and y = 8
c. x = 10 and y = 80
d. x = 1 and y = 80
Answers
Answer:
A
Step-by-step explanation:
beacause Harry loves school so he go to school