Which of the following is NOT a property of the sampling distribution of the variance? Choose the correct answer below. A. The expected value of the sample variance is equal to the population variance. B. The mean of the sample variances is the population variance. C. The sample variances target the value of the population variance. D. The distribution of sample variances tends to be a normal distribution.
Answer: D. The distribution of sample variances tends to be a normal distribution.
Step-by-step explanation:
The properties of the sampling distribution of the variance include:
• The expected value of the sample variance is equal to the population variance.
• The mean of the sample variances is the population variance.
• The sample variances target the value of the population variance.
Therefore, the option that isn't a property of the sampling distribution of the variance will be option D "The distribution of sample variances tends to be a normal distribution".
We should note that the sampling distribution came came in place as a result of the central limit theorem. The sample variance gives a true representation of the variance of the population as it is an unbiased estimator.
The one that does not demonstrate a property of variance's sampling distribution would be:
D). The distribution of sample variances tends to be a normal distribution.
Sampling Distribution PropertyThe variance's sampling distribution property states that:
The variance or the difference of population is equivalent to the sample variance's estimated value.The mean deduced by the sample variances is similar to the difference/variance of the population.The purpose of sample variance aims toward the value denoted by population variance.As per the question, the fourth statement does not exemplify one of its properties as the distribution displayed by sample variances is inclined towards normal distribution.
Thus, option D is the correct answer.
Learn more about "Variance" here:
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At a picnic, there is a 5-gallon drink
dispenser filled with juice. Juice is served
in cups that each hold 8 fluid Ounces when
they are full. What is the greatest number
of cups that can be served?
Answer:
80 cups
Step-by-step explanation:
There are 640 ounces in 5 gallons so,
640 divided by 8 equals 80, therefore,
The greatest number of cups that can be served are 80
What is the area of the trapezoid?
5 cm
14 cm
5 cm
10 cm
Answer:
A = 28 cm
Step-by-step explanation:
equation:
A = [tex]\frac{a + b}{2} h[/tex]
A = [tex]\frac{4 + 10}{2} 4[/tex]
solve:
A = [tex]\frac{14}{2}4[/tex]
A = 7 x 4
A = 28 cm
If you owned a house, and the assessed value was $435,000.00, how much in property taxes would you have to pay per year if the rate was 0.79%? (be sure to use $ and a decimal. No need to use a comma)
a bit of help
The Amount of property taxes you would have to pay per year if the rate was 0.79% is $3,436.50.
If you owned a house and the assessed value was $435,000.00, the amount of property taxes you would have to pay per year
if the rate was 0.79% can be calculated as follows:SolutionTo calculate the amount of property taxes, multiply the assessed value by the tax rate.
We can represent this mathematically as:P = R × Vwhere:P = Property taxesR = Tax rateV = Assessed Value
We are given that:R = 0.79%V = $435,000.00
We need to convert the tax rate to a decimal value before we can use it in our calculation. This can be done by dividing the percentage value by 100. Therefore:R = 0.79 ÷ 100= 0.0079
Using the formula above, we can now calculate the property taxes as:P = R × V= 0.0079 × $435,000.00= $3,436.50
Therefore, the amount of property taxes you would have to pay per year if the rate was 0.79% is $3,436.50.
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A production manager is interested in comparing the precision of two brands of stamping machines. From a random sample of 12 units of output from the Brand A machine, a standard deviation of 15.2 is reported for a quality characteristic. For the Brand B machine, in a sample of 20 units of output, there is a standard deviation of 10.1. Is there sufficient evidence at the 5% significance level to conclude that Brand B machines have a lower variance in quality
Answer:
There is insufficient statistical evidence at 5% significant level to conclude that Brand B machines have a lower variance in quality
Step-by-step explanation:
The given parameters are;
The number of units of the sample from Brand A, n₁ = 12 units
The standard deviation of the quality characteristic of Brand A, s₁ = 15.2
The number of units of the sample from Brand A, n₂ = 20 units
The standard deviation of the quality characteristic of Brand B, s₂ = 10.1
The null Hypothesis; H₀; s₁² = s₂²
The alternative Hypothesis; H₀; s₂²< s₁²
The difference of two variance formula;
The F test statistic is given as follows;
[tex]F = \dfrac{S_1^2}{S_2^2}[/tex]
Where;
S₁² = The variance of sample (1) = 15.2² = 231.04
S₂² = The variance sample (2) = 10.1² = 102.01
df₁ = n₁ -1 = 12 - 1 = 11
df₂ = n₂ - 1 = 20 - 1 = 19
From the F table, we have the critical value from the F table = 2.66
[tex]F = \dfrac{S_1^2}{S_2^2} = \dfrac{231.04}{102.01} \approx 2.265[/tex]
Therefore, given that F ≈ 2.265 is not larger than the critical F for α = 0.05, we do not reject the null hypothesis, and there is sufficient statistical evidence at 5% significance level to conclude that Brand B machines have the same variance in quality as Brand A machines
1344 divided by 16
(Pls ans)
Answer:
84
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
1344/16=84
find the area of the composite shape. quickly please
Answer:
4800 1 x 24 x 25 x 8
Step-by-step explanation: 1 x 24 x 25 x 8
Which number line shows the solution to x>7?
Answer:A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
20a + 158 +6c = 20 (6) + 15 (4) + 6(8)
+
?
+
?
Step-by-step explanation:
20a + 158+6c=you will expand the brackets
= so it is 120+60+48
20a+158+6c=120+60+48
20a+ 6c=120+60+48-158
20a+6c=70
20a divide by 20+6c divide by 6 on both side
a + c = 0.58
30 POINTS PLS HELP
The slope of the linear function y= 5/4x +1/2 is changed to 5/8 where y= 5/8x + 1/2. Identify the transformation required to produce the new slope, state the equation of the transformed function, ande explainw hat the graph of the tranfsformed line look like.
Here is the picture of the question
Answer:
We proceed to use the following operations: (i) Vertical translation downwards ([tex]k = -\frac{1}{2}[/tex]), (ii) Vertical compression ([tex]c = \frac{1}{2}[/tex]), (iii) Vertical translation upwards ([tex]k = \frac{1}{2}[/tex]). The graph is presented below.
Step-by-step explanation:
To transform [tex]y = \frac{5}{4}\cdot x + \frac{1}{2}[/tex] into [tex]y = \frac{5}{8}\cdot x + \frac{1}{2}[/tex], we apply the following steps:
(i) Vertical translation downwards ([tex]k = -\frac{1}{2}[/tex])
[tex]g(x) = f(x) +k[/tex] (1)
(ii) Vertical compression ([tex]c = \frac{1}{2}[/tex])
[tex]g(x) = c\cdot f(x)[/tex] (2)
(iii) Vertical translation upwards ([tex]k = \frac{1}{2}[/tex])
[tex]g(x) = f(x) + k[/tex]
Now, we proceed to transform the primitive expression:
Step 1
[tex]f'(x) = \frac{5}{4}\cdot x[/tex]
Step 2
[tex]f''(x) = \frac{5}{8}\cdot x[/tex]
Step 3
[tex]g(x) = \frac{5}{8}\cdot x + \frac{1}{2}[/tex]
The graph of both function are now presented below. The parent function is the red line and the new function is represented by the blue line.
Please help me with an explanation so i can understand it better
Answer:
9.5
Step-by-step explanation:divide area by 12.3
i think it is right
Answer:
u= 19 miles
Step-by-step explanation:
Area of triangle= ½ ×base ×height
Given that the area is 116.85 mi² and height= 12.3 mi,
116.85= ½ ×u ×12.3
6.15u= 116.85
u= 116.85 ÷6.15 (÷6.15 on both sides)
u= 19 mi
Jimmy ate 1/3 of his sandwich at lunch. He ate another 2/3 of the sandwich. How much of the sandwich did Jimmy eat in all?
A.1/3
B.2/3
C.3/3
D.5/3
If you answer this you will get 69 points but please answer asap
Answer:
I think the answer for the first one is 3 I am not sure about the second one
Watch help video
Find the y-coordinate of the y-intercept of the polynomial function defined below.
f(x) = 2x(x - 3)
Answer:
Submit Answer
Factor the following polynomials: a^2+a+72
Answer:
72 + a (1 + a)
Step-by-step explanation:
Please Help, what is the answer
Answer:
The correct option is (2).
Step-by-step explanation:
We need to find the value of the given expression i.e.
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}[/tex]
We can calculate it as follows :
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6[/tex]
So, the final answer is x⁶. The correct option is (2).
Every day when commuting to and from work, Stefanie
drives her car a total of 143 miles for 2.5 hours. Her car
already has 45,300 miles on it.
a. Write a function that shows the total number of
miles, f(x), Stefanie's car will have been driven
after x more days. Explain how you know where
each number goes in the equation.
b. If Stefanie works 4 days a week, how many miles
will her car have been driven after 3 weeks? Show
and explain all your work.
Answer:
a) [tex]f(x) = 45300 + 143x[/tex]
In which 45300 is the current number of miles driven and 143 is the amount of miles she drives each day.
b) 47,016 miles.
Step-by-step explanation:
Question a:
Every day when commuting to and from work, Stefanie drives her car a total of 143 miles for 2.5 hours. Her car already has 45,300 miles on it.
So, after x days of work, the amount of miles driven will be given by
[tex]f(x) = 45300 + 143x[/tex]
In which 45300 is the current number of miles driven and 143 is the amount of miles she drives each day.
Question b:
After 4*3 = 12 days of work. So
[tex]f(12) = 45300 + 143*12 = 47016[/tex]
47,016 miles.
Which table represents the statement "A computer repairman makes $25 per hour"?
Answer:
Table number 3
Step-by-step explanation:
25+25=50
50+25=75
Answer:
C
Step-by-step explanation:
For every 1 hour(h) 25 dollars(d) gets added. You can multiply 25 with however many hours you need to get the answer.
example: 4 hours would be 100 because 25×4=100
g Suppose the population 10-year cumulative incidence of prostate cancer among 70-year old men is 0.06. Further, suppose 260 men without prostate cancer, aged 50 years were randomly sampled and 13 of them developed prostate cancer within 10 years. Is there evidence at the 0.05 significance level to conclude that the cumulative incidence of prostate cancer among 50-year old men differs from that of 70-year old men
Answer:
There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
Step-by-step explanation:
The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06
The number of 50 year old men in the sample, n = 260 men
The number of the sampled men that developed prostrate cancer = 13 men
The significance level, α = 0.05
Let the null hypothesis, H₀: [tex]\hat{p}[/tex] = p
The alternative hypothesis, Hₐ: [tex]\hat{p}[/tex] ≠ p
The standard score, [tex]z_{\alpha /2}[/tex] = 1.96
The test statistic, 'z', is given as follows;
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]
[tex]\hat{p}[/tex] = 13/260 = 0.05
q = 1 - p = 1 - 0.06 = 0.94
[tex]Therefore, \ z=\dfrac{0.05-0.06}{\sqrt{\dfrac{0.06 \times 0.94}{260}}} = \dfrac{\sqrt{9165} }{141} \approx -0.68[/tex]
From the z-table, we find the p-value as follows;
P(z ≈ -0.68) = 0.24825
Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
A cone has a radius of 6.2 mm and a height of 10.8 mm. What is the volume of the cone to the nearest tenth? use π = 3.14
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the volumes.
Here given as, r= 6.2 mm, h = 10.8 mm, π=3.14
hence, the volume of the cone is
Volume = 1/3(πr^2h)
===> vol = 1/3(3.14*(6.2)^2*(10.8))
==> Vol = 1/3*(1303.57)
==> Vol = 434.52 mm^3
Hence the volume of the cone is 434.52 mm^3
655,325 to the nearest hundred thousands
Answer:
700,000
Step-by-step explanation:
55,325 is closer to 100,000 than it is to 0, so the hundred-thousands place would round up.
Answer:
655,325
Step-by-step explanation:
Im pretty sure it would just stay the same because 3 is not enough to bring the 5 up to 6.
5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). The probability that X is between 1.48 and 15.56 is _____________. Write out the probability notation for this question.
Answer:
The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using 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.
X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.
This means that [tex]\mu = 8, \sigma = 4[/tex]
The probability that X is between 1.48 and 15.56
This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So
X = 15.56
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15.56 - 8}{4}[/tex]
[tex]Z = 1.89[/tex]
[tex]Z = 1.89[/tex] has a pvalue of 0.9706
X = 1.48
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.48 - 8}{4}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a pvalue of 0.0516
0.9706 - 0.0516 = 0.919
Write out the probability notation for this question.
[tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]
The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]
What is 8/9ths of 4?
8/9 ÷ 4 = 8/36 as simplified as 2/9 in fraction form.
Answer:
8/36
Step-by-step explanation:
I divided 8/9 by 4
Be Strong Now, Because Things Will Get Better. It Might Be Stormy Now, But It Can't Rain Forever.
Answer:
aw ty but is there a question?
Step-by-step explanation:
A recipe for 12 scones requires 2 teaspoons of baking powder and 240 g of flour. If a larger number of scones are made, using 540 g of flour, how much baking powder is needed?
Answer:
45 teaspoons of baking powder
Step-by-step explanation:
Let x = amt of baking powder needed.
2/240 = x/540
240x = 1080
x = 45 teaspoons of baking powder
A motorboat takes 3 hours to travel 108 kilometers going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water:
Rate of the current:
Answer:
45; 9
Step-by-step explanation:
1) if the rate of the boat in still water is 'b' and the rate of the current is 'c', then it is possible to write the rate of the boat going upstream: b-c, downstream: b+c.
2) the basic formula is: D=r*t, where D - distance, r - rate/velocity, t - time;
3) according to the condition it takes 3 hours to travel 108 km upstream, it means according to the formula above 3(b-c)=108;
4) according to the condition it takes 2 hours to travel 108 km downstream, it means according to the formula above 2(b+c)=108;
5) if to make up the system of two equations, then:
[tex]\left \{ {{3(b-c)=108} \atop {2(b+c)=108}} \right. \ => \ \left \{ {{b=45} \atop {c=9}} \right.[/tex]
6) rate of the boat in still water: 45 km/h;
rate of the current: 9 km/h.
Linda took a math test and got 68 correct answers and 12 incorrect answers. What is the percentage of incorrect answers
Answer:
Approximately [tex]17.6[/tex] percent
Step-by-step explanation:
To find a percentage, take the part, divide it by the whole, and multiply that quotient by 100. As an algebraic expression, that would be [tex]\frac{part}{whole}*100[/tex].
In this case, the part is [tex]12[/tex] and the whole is [tex]68[/tex]. Therefore, our answer is [tex]\frac{12}{68}*100\approx17.6[/tex] percent. Hope this helps!
Answer: About 17.6%
Step-by-step explanation: "Per" means 100. So, to get a percentage, we can divide the numerator by the denominator then multiply the quotient by 100. Or, you can say it like this: [tex]\frac{Numerator}{Denominator} =quotient*100[/tex]
As we see, 12 is the numerator, and 68 is the denominator. Now, we can divide.
12 ÷ 68 = 0.176
We're not done yet, we'll need to multiply the quotient by 100, as in the formula.
0.176 × 100 = 17.6
Hence, 17.6% is the answer.
Let me know if you have any questions or comments.
~ Lily, from Brainly.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer: 10x5
(10 blocks wide, 5 blocks long) or (5 blocks wide, 10 blocks long)
Step-by-step explanation:
3 blocks = 18 meters, so
1 block = 6 meters
60meters/ 6meters= 10 blocks
30 meters/ 6 meters = 5 blocks
Represent 42 divided by 6 = 7 using subtraction
Answer:
42 - 6 - 6 - 6 - 6 - 6 - 6 - 6 = 0
or
42 - 7 - 7 - 7 - 7 - 7 - 7 = 0
can someone help me ? Finding the slope graphically! Please hurry
Answer:
Step-by-step explanation:
they are asking for the triangle the "hangs " off the line, and so that it's in integer units.
by looking at the graph, I think if you were to draw a line on the y =4 ... so a flat horizontal like from the y axis at 4 on the y axis over to your graphed line.. that would do it.. :/ get it?
then the y axis is the "rise" and the line going from the y axis, horizontallly over to the graphed line, from 4.. and staying on 4 to the line... would be the run... :? I think this will be tough to get