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]
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Answers
Answer:
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Answers
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Step-by-step explanation:
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Answer:
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There are 8 classroom in a particolar
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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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:
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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
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x₂ = losing $5
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x₃ = not win nor lose
p₃ = 1 - 0.19 - 0.29 = 0.52
Then the expected value is:
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Answers
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Pre-Alg
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Step 1: Define expression
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Answers
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Step-by-step explanation:
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A company refinishes wood floors for $1.50 per square foot. Makayla hires the company to refinish 1,000 square feet
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Answers
Answer:
The correct answer is $1,500
Step-by-step explanation:
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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?
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Answers
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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
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R = [0ft, 1500ft]
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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
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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
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16*t^2 = 1500
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Write the converse:
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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
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Answers
Answer:
-8cx−2x+5
Step-by-step explanation:
solve and evaluate expression
Answer:
hshd
Step-by-step explanation:
hhshahj
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Answers
Answer:
0
Step-by-step explanation:
Answer:
the answer is 0
Step-by-step explanation:
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B. -2x+2 since it’s the only line that has a negative slope
Answer:
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Step-by-step explanation:
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Which product matches the shading on the grids?
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Answer:
I believe it is D. not sure tho
Haven’t been able to figure this out, can someone help?
Answers
Answer:
D reorder the terms using communitive properties
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Step-by-step explanation:
8 3√25 k
I checked the other problems and K was 12
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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.
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:
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Answer:
2,3,4,5,6,7,8,9,10,...29
Step-by-step explanation:
Pllls Help ill give brainliesstttt
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Number one is 16
number two is 30
Number 3 is 100
Number four is 50
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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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.
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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 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.