5.3:1
6.2:1
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Find the range for the population mean value with 95% and 65% confidence intervals for each set of data. 3.611 0.02cm n 24
Complete Question
Find the range for the population mean value with 95% and 65% confidence intervals for each set of data.
[tex]\= x_1= 3.611 \ cm[/tex], [tex]\sigma_1=0.02\ c m[/tex], [tex]n_1=24[/tex],
[tex]\=x_2=3.632 \ cm[/tex], [tex]\sigma_2=0.06 \ cm[/tex], [tex]n_2= 17[/tex]
Answer:
The range for the population mean value with 95% confidence intervals for the first set of data is
[tex]2.602 <\mu < 2.619[/tex]
The range for the population mean value with 95% confidence intervals for the second set of data is
[tex]2.601 <\mu < 2.661[/tex]
The range for the population mean value with 65% confidence intervals for the first set of data is
[tex]2.605 <\mu< 2.617[/tex]
The range for the population mean value with 65% confidence intervals for the second set of data is
[tex]2.611 <\mu < 2.6526[/tex]
Step-by-step explanation:
Generally the range for the population mean value with 95% confidence intervals for the first set of data is mathematically evaluated as follows
Generally the degree of freedom is mathematically evaluated as
[tex]df = n_1 -1[/tex]
=> [tex]df = 24 -1[/tex]
=> [tex]df = 23[/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 t distribution table the critical value of at is
[tex]t_{\frac{\alpha }{2} , df = 23} = 2.068[/tex]
Generally the margin of error is mathematically represented as
[tex]E_1 = t_{\frac{\alpha }{2} , df = 23} * \frac{\sigma_1 }{\sqrt{n_1} }[/tex]
=> [tex]E_1 = 2.068 * \frac{0.02}{\sqrt{24} }[/tex]
=> [tex]E_1 = 0.00844 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x_1 -E_1 < \mu < \=x_1 +E_1[/tex]
[tex]2.611 - 0.00844 < \mu < 2.611 + 0.00844[/tex]
=> [tex]2.602 <\mu < 2.619[/tex]
Generally the range for the population mean value with 95% confidence intervals for the second set of data is mathematically evaluated as follows
Generally the degree of freedom is mathematically evaluated as
[tex]df_2 = n_2 -1[/tex]
=> [tex]df_2 = 17 -1[/tex]
=> [tex]df_2 = 16[/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 t distribution table the critical value of at is
[tex]t_{\frac{\alpha }{2} , df = 16} = 2.12 [/tex]
Generally the margin of error is mathematically represented as
[tex]E_1 = t_{\frac{\alpha }{2} , df = 23} * \frac{\sigma_2 }{\sqrt{n_2} }[/tex]
=> [tex]E_2 =2.12 * \frac{0.06}{\sqrt{17} }[/tex]
=> [tex]E_2 = 0.03085 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x_2 -E_2 < \mu < \=x_2 +E_2[/tex]
[tex]2.632 - 0.03085<\mu < 2.632 + 0.03085[/tex]
=> [tex]2.601 <\mu < 2.661[/tex]
Generally the range for the population mean value with 65% confidence intervals for the first set of data is mathematically evaluated as follows
Generally the degree of freedom is mathematically evaluated as
[tex]df = n_1 -1[/tex]
=> [tex]df = 24 -1[/tex]
=> [tex]df = 23[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 65 ) \%[/tex]
=> [tex]\alpha = 0.35[/tex]
Generally from the t distribution table the critical value of at is
[tex]t_{\frac{\alpha }{2} , df = 23} = 1.3995 [/tex]
Generally the margin of error is mathematically represented as
[tex]E_3 = t_{\frac{\alpha }{2} , df = 23} * \frac{\sigma_1 }{\sqrt{n_1} }[/tex]
=> [tex]E_3 = 1.3995 * \frac{0.02}{\sqrt{24} }[/tex]
=> [tex]E_3 = 0.00571 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x_1 -E_3 < \mu < \=x_1 +E_3 [/tex]
[tex]2.611 - 0.00571 <\mu < 2.611 + 0.00571[/tex]
=> [tex]2.605 <\mu< 2.617[/tex]
Generally the range for the population mean value with 65% confidence intervals for the second set of data is mathematically evaluated as follows
Generally the degree of freedom is mathematically evaluated as
[tex]df_2 = n_2 -1[/tex]
=> [tex]df_2 = 17 -1[/tex]
=> [tex]df_2 = 16[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 65 ) \%[/tex]
=> [tex]\alpha = 0.35[/tex]
Generally from the t distribution table the critical value of at is
[tex]t_{\frac{\alpha }{2} , df = 16} = 1.41930 [/tex]
Generally the margin of error is mathematically represented as
[tex]E_4 = t_{\frac{\alpha }{2} , df = 23} * \frac{\sigma_2 }{\sqrt{n_2} }[/tex]
=> [tex]E_4 =1.41930 * \frac{0.06}{\sqrt{17} }[/tex]
=> [tex]E_4 = 0.020653 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x_2 -E_4 < \mu < \=x_2 +E_4[/tex]
[tex]2.632 - 0.020653<\mu < 2.632 + 0.020653[/tex]
=> [tex]2.611 <\mu < 2.6526[/tex]
need help really please
Answer:
1. 3
2. $3.30
3. $3.28
Step-by-step explanation:
sorry if this is wrong i learned this two years ago lol
5.301×10 7 in stander form
Answer:
I assume you mean 10 to the power of 7, the answer is 53010000
helpppppppppppppp pls
Answer:
9 is the answer
Step-by-step explanation:
Answer:
it is 405
Step-by-step explanation: because you would multiply 3 and 9 and that is 27 then 3 x 5 is 15 the multiply 15 and 27 then you get 405
find the sum of -19+(20)
Answer:1
Step-by-step explanation:It may looks complicated but all you have to do is add 20 to -19
Describe the graph of the line x = 12.
1.vertical line
2.crosses the y-axis
3.line with slope of 12
4.horizontal line
The only thing we can say about the line is that x = 12 is a vertical line.
What can we say about the graph of the line x = 12?
Remember that the general linear equation is:
a*x + b*y = c
Particularly, if we take b = 0, the dependence on y disappears, and then we get a vertical line.
This is just a vertical line that crosses the x-axis at x = 12. (and never crosses the y-axis).
So the only correct option is the first one.
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Answer:
1. Vertical Line
Step-by-step explanation:
Estimate a 15% tip on a dinner bill of $67.42 by first rounding the bill amount to the nearest ten dollars.
Answer:
4.5
Step-by-step explanation:
67.42 rounded to the nearest 10 of 67.5,then divide that by 15,hopethis is what you were looking for
Answer:
$10.50 is the tip on a dinner bill.
Step-by-step explanation:
The first step is to round off $67.42. It is closer to 70 than 60, therefore it is 70.
Secondly, 10% of 70 is 7.
5% of 7 is 3.5.
*Notice that 10% and 5% equals 15%.
Add 7 + 3.5 = 10.5 or $10.50
A model of a triangular lawn is scaled to have 1 cm represent 10 yards.
13 cm
8 cm
What is the area of the actual lawn?
What is the ratio of the two quantities? Warning: different units!
5 days to 60 hours
Answer:
Answer is below:
Step-by-step explanation:
A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example. The word “per” usually indicates you are dealing with a rate.
I hope this helps!
The ratio between the two given quantities is 3:1
What is proportion ?
A proportion is an equation based on the equality of two ratios.
It is to find the ratio of two quantities given as :
5 days to 60 hours
It is to be noted that two quantities can only compared when there units are same therefore first let us make the units same :
we known that :
1 day = 24 hours
that is, 5 days = 5x24 = 120 hours
Now, we can find the ratio :
5 days : 60 hours
120 hours : 60 hours
3 : 1
Therefore, the ratio between the two given quantities is 3:1
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Which of the following expressions are equivalent to –3.5(2 – 3n) – 2.5n?
A: –7 – 8n
B: –7 + 8n
C: –7 – 13n
D: –7 – n(10.5 – 2.5)
E: –7 + n(10.5 – 2.5)
Answer:
B
Step-by-step explanation:
Answer: D
Step-by-step explanation:
The Hu family goes out for lunch, and the price of the meal is $46. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
Answer: 56.70
Step-by-step explanation: Hope this helps
write an expression to represent the given statement. use n for the variable. three times the absolute value of the sum of a number and 6
Answer:
3/n+6/
Step-by-step explanation:
What is the sum of 2.5 × 104 and 3.4 × 104?
A) 0.59 × 104
B) 0.59 × 108
C) 5.9 × 104
D) 5.9 × 108
Complete the equation representing all the points that are 4 units away from the point (3, –1).
Answer:
(x-3)^2+(y+1)^2=16
Step-by-step explanation:
ed.
The equation of the circle is:
[tex](x - 3)^2 + (y + 1)^2 = 16[/tex]
What is the equation of the circle?The equation of a circle with center (h, k) and radius r is given by[tex](x - h)^2 + (y - k)^2 = r^2[/tex], which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
To complete the equation representing all the points that are 4 units away from the point (3, -1), we need to first recall the equation of a circle, which is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
where (h, k) is the center of the circle and r is the radius.
In this case, the center of the circle is given as (3, -1) and the radius is 4 units since all the points on the circle are 4 units away from the center.
Substituting these values into the equation of a circle, we get:
[tex](x - 3)^2 + (y + 1)^2 = 16[/tex]
This equation represents all the points that are 4 units away from the point (3, -1) and forms a circle with center (3, -1) and radius 4 units.
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What is the quotient of 7,966 divided by 569? Please tell me bc im in school and idk the answer :(
Answer:
14
Step-by-step explanation:
divide them by 7966 and 569
please answer 5-7 i need it in 5 minutes please i’ll do anything
Answer:don’t understand number 5??
Step-by-step explanation:
HELP WILL GIVE BRANLIEST! Please give an explanation
What is the slope of the line below? (Convert your fraction to a decimal)
Answer:
m= -0.25
Step-by-step explanation:
step1: identify any two points passing through the line.
(2,6) x1=2 y1=6
(6,5) x2=6 y2=5
step2: sub the values into the slope formula.
[tex]m=\frac{y2-y1}{x2-x1}[/tex] (slope formula)
[tex]=\frac{5-6}{6-2}[/tex]
step3: simplify the fraction and solve for m.
[tex]=\frac{-1}{4}[/tex]
step4: convert the answer into decimals.
=-0.25
The graph of y = 4sin (3x + 2) + 1 has amplitude of:
Select one:
a. O
b. 1
c. 2
d. 3
e. 4
Answer: 4
Step-by-step explanation: g(x) = A*cos(bx) + c When you see a function of the form f(x) = A*sin(bx) + c or g(x) = A*cos(bx) + c where A, b and c are constants, its amplitude is equal to A, the coefficient at sine or cosine.
The amplitude of the given function is 4.
What is amplitude?The maximum displacement or distance moved by a point on a vibrating body or wave, measured from its equilibrium position, is called its amplitude.
Given is a function, y = 4sin (3x + 2) + 1
The given equation is the form of y = a sin(bx+c) + d, the amplitude of the function is given by the by a,
On comparing the given equation with y = a sin(bx+c) + d, it gives a = 4
Hence, the amplitude of the given function is 4.
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PLSSS HELP ME I WILL GIVE BRAINLIEST!!!!!!!!
Answer:
12x - 30
Step-by-step explanation:
Do you want 3x??
If so, here:
3(4x - 10)
12x - 30
Hope this helps!
Have a nice day!
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Pls consider marking my answer as Brainliest! It would mean a lot!
A study was conducted in order to compare
Answer:
is there more to the question?
Step-by-step explanation:
❤️
not sure what the icon is there for
The area of a square is 36 square centimeters. What is the length of each side of the square?
Answer:
dived by 2
Step-by-step explanation:
it showed give your anserw if not im sorry
The length of each side of the square is, 6 centimeter.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The area of a square is 36 square centimeters.
Now, We know that;
⇒ Area of square = Side²
Let the side of square = x
Hence, We can formulate;
⇒ x² = 36
⇒ x = √ 36
⇒ x = 6 centimeters
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The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches. Use this information to answer the questions. (a) What is the probability that a randomly selected woman from this university is 69 inches or taller
Answer: 0.16
Step-by-step explanation:
Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.
According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.
About 68% woman have height between ( 66-3) inches and (66+3) inches.
i.e. About 68% woman have height between 63 inches and 69 inches.
The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]
The percentage of woman have height is 69 inches or taller = 32%÷2
= 16%
Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16
How much is 5/500 in percentage
Answer:
1%
Step-by-step explanation:
HURRY FAST NEED HELP 30 POINT HURRY PLZZZZZZZZZ The map shows the locations of skirmishes and battles during the Atlanta Campaign of the Civil War.
John has measured some distances on the map. Atlanta and Kingston are 2.5 cm apart, and Kingston and Ringgold are 3.5 cm apart. If the actual distance from Atlanta to Kingston is 60 miles, what is the actual distance from Kingston to Ringgold?
A) 78 miles
B) 84 miles
C) 92 miles
D) 106 miles
Answer:
A
Step-by-step explanation:
The actual distance is 47.84 so your best answer is A. If its wrong please tell me!
[4G-07] Three individuals are completing a given task. The completion time for each individual is exponential random variable with mean 7, and is independent of one another. Find the probability that the first person to complete the task will do so in less than 5 minutes. (Use 4 decimals)
Answer:
P(X≤5) = 0.5105 (Approx)
Step-by-step explanation:
Assume, x = completion time of given task
Mean u = 7
So,
λ = 1/u = 1/7
So,
x ↔ exp(λ)
f(x) = P(X≤x) = [tex]1-e^{-\frac{1}{u}x }[/tex]
P(X≤5) = [tex]1-e^{-\frac{1}{7}5 }[/tex]
P(X≤5) = 0.5105 (Approx)
Please help me it’s due today
Answer:
C
Step-by-step explanation:
(6a - 2b) ^ 2
36a^2 + 2b^2
_________ refers to the use of sample data to calculate a range of values that is believed to include the value of the population parameter.
a. Hypothesis testing
b. Interval estimation
c. Point estimation
d. Statistical inference
Answer:
b. Interval estimation
Step-by-step explanation:
There are two types of estimations for each population parameter; the point estimation and confidence interval (CI) estimation.
The point estimation involves the use of sample data to calculate a single value which serve as a best estimate of an unknown population parameter.
The interval estimation is the use of sample data to calculate range of possible values of an unknown population parameter.
Therefore, the correct option is "b"
b. Interval estimation
Diego can fill 1 1/5 bottles with 3 litters of water. How many litters of water fill 1 bottle
An
Step-by-step explanation: