Answer:
Part 1
a. Sum of Squares, Treatment= 61
b. Sum of Squares, Error= 7.5
c. Mean Squares, Treatment = 30.5
d. Mean Squares, Error= 0.5
2. the F value lies in the rejection region > 3.6823
3. The value of the test statistic = 61
4. The p-value is < 0.00001
5. Conclusion
Since p-value < α, H0 is rejected.
6. Between x`2 and x`3
7. Fisher's Least Significant Difference value almost 0.869
8.There is a significant difference between the means
Step-by-step explanation:
Summary of Data
Treatments
1 2 3 Total
n 6 6 6 18
∑x 42 57 30 129
Mean 7 9.5 5 7.167
∑x2 298 543 152 993
Sd.D 0.8944 0.5477 0.6325 2.0073
ANOVA Table
Source SS df MS
Between-treatments 61 2 30.5 F = 61
Error 7.5 15 0.5
Total 6 8.5 17
a. Sum of Squares, Treatment= 61
b. Sum of Squares, Error= 7.5
c. Mean Squares, Treatment = 30.5
d. Mean Squares, Error= 0.5
2. Using alpha= 0.05 the F value lies in the rejection region i.e F > 3.6823
x1` -x2`= 7-9.5= -2.5 Not significant as difference <3.68
x1`- x3`= 7-5= 2 Not significant as difference <3.68
x2` -x3`= 9.5-5= 4.5 Significant as difference > 3.68
3. The value of the F test statistic = 61
4. The p-value is < 0.00001
5. Conclusion
Since p-value < α, H0 is rejected.
6. Using alpha= .05, differences occurs between x2` and x3` as their difference is greater than 3.68
7. Fisher's Least Significant Difference value almost 0.869
Least Significant Difference= t( 0.025,15) √2s²/r s²= 0.50 r= 6 =n1=n2=n3
Least Significant Difference= 2.13 √ 2*0.50/ 6
=0.869
8.There is a significant difference between the means
x1` -x2`= 7-9.5= -2.5 Significant as difference > Least Significant Difference
x1`- x3`= 7-5= 2 Significant as difference > Least Significant Difference
x2` -x3`= 9.5-5= 4.5 Significant as difference > Least Significant Difference
High point question. SAT prep
Answer:
[tex] log_{a}(a) \ + log_{a}( {10}^{ - 4} ) = 1 + \frac{ - 4}{ log_{10}(a) } = 1 + \frac{ - 4}{b} = \frac{b - 4}{b} [/tex]
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How many odd numbers are between 10 and 50?
Answer: 19 odd numbers: 11 , 13, 15, 17 , 19, 23, 25, 27, 29, 31, 33 , 35, 37, 39, 41, 43, 45, 47, 49
Hope that helped! :)
What is the area of the parallelogram?
Answer:
im not 100 percent sure but i think its
140 inches squared
Step-by-step explanation:
I NEED HELPPP
PLEASEEEEEEEEEEEEEE
What are the solutions to 2(x+1^2)=18
Answer:
2( x + 1) = 18
2x + 2 = 18
2x = 16
x = 16/2 = 8
Ms. De Leon wants to produce different sets of test questions for her essay test. If she plans to do this by putting together 3 out of 5 questions she prepared, how many different sets of questions could she contruct?
A.10
B. 20
C. 60
D. 80
Please help me with this question.
Answer:
A
Step-by-step explanation:
F(-2)= 4(-2)-1= -9
G(-2)= (-2)^2-3= 1
f(-2)-(g-2)= -9-1= -10
The dot plot below shows the number of movies rented last month by students in Ms. Underwood's class.
What is the median number of movies rented?
A.
4
B.
6
C.
3
D.
2
Answer:
the answer gonna be 3
Answer: I the answer is 3 100%
Step-by-step explanation: I took the test
A bag contains 10 blue marbles, 7 white marbles, 6 red marbles, and 2 Green marbles. what is the probability of randomly selecting the blue marble?
Answer:
Step-by-step explanation:
Number of blue marbles = 10
Number of white marbles = 7
Number of Red marbles = 6
Number of Green marbles = 2
Total marbles = 10 + 7 + 6 + 2 = 25
Probability of selecting the blue marble = 10/25 = 2/5
measure of each exterior angle of a regular 30-gon?
7. An exterior angle of a regular polygon measures 22.5°. How many sides does it have?
8. An interior
Answer:
I'm not sure would love to help but dont know the answer
Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags. Because of variability in the manufacturing process, the bags often contain slightly more, or less, than 32 ounces of green beans. An inspector takes a random sample of 25 bags of green beans of each type and records their weights. The weights and their relative frequencies are summarized in the histograms. 2 histograms comparing brand A and brand B of green beans. The median weight for brand B is less than the median weight of brand A. Which of the following is a true statement when comparing the bags of green beans? The median weight for both types is between 32.1 and 32.2 ounces. The median weight for both types is between 32.0 and 32.1 ounces. The median weight for brand B is less than the median weight of brand A. The median weight for brand B is greater than the median weight of brand A.
Answer:
The answer is: B.)32.0–32.1 ounces
Step-by-step explanation:
Got it right on my test
The true statement is The median weight for both types is between 32.0 and 32.1 ounces.
What is data?Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study.
Given:
Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags.
The median weight for brand B is less than the median weight of brand A.
So, if both brands weigh 32 ounces then the median weight for both types is between 32.0 and 32.1 ounces.
Learn more about data here:
https://brainly.com/question/10980404
#SPJ6
You estimate that a kitten weighs 15 pounds. The actual weight of the kitten is 8 pounds. Find the percent error.
Answer:
87.5%.
Step-by-step explanation:
This is simple. You thought the kitten weighed 15 pounds but really weighs 8. The first thing you would do is subtract the guess minus the actual.
15 - 8 = 7.
That person was off by 7.
So you would put it as a fraction over the actual weight. 7/8. Then turn your fraction into a decimal and turn that decimal into a percent.
7 divided by 8 = 0.875.
0.875 as a percent is 87.5%.
So the percent error is 87.5%.
Joe wants his overall test average to be 85%. What score would he need on his next test if the test scores he has so far are: 70%, 105%, 75%, 90%, 90%?
Answer:
He would need a score of 0.8 = 80%.
Step-by-step explanation:
Average score:
The average score is the sum of all scores divided by the number of tests.
What score would he need on his next test if the test scores he has so far are: 70%, 105%, 75%, 90%, 90%?
Combining with the next text, there will be 6, and the sum will be: 0.7 + 1.05 + 0.75 + 0.9 + 0.9 + x = 4.3 + x.
Joe wants his overall test average to be 85%.
So
[tex]\frac{4.3 + x}{6} = 0.85[/tex]
[tex]4.3 + x = 5.1[/tex]
[tex]x = 5.1 - 4.3 = 0.8[/tex]
He would need a score of 0.8 = 80%.
NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. In an earlier study, the population proportion was estimated to be 0.3 . How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 80% confidence level with an error of at most 0.03
Answer:
A sample of 383 would be required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In an earlier study, the population proportion was estimated to be 0.3.
This means that [tex]\pi = 0.3[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 80% confidence level with an error of at most 0.03?
A sample of n is needed.
n is found when M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.28\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.28\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.28\sqrt{0.3*0.7}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.28\sqrt{0.3*0.7}}{0.03})^2[/tex]
[tex]n = 382.3[/tex]
Rounding up:
A sample of 383 would be required.
If a population of 10,000 increases by 5% every year, about how large will the population be in 5 years?
Answer:
12763
Step-by-step explanation:
Find all the missing elements : C=120degrees
b= 5
c=11
Answer:
A = 36.8°
B = 23.2°
a = 7.6
Step-by-step explanation:
Given:
C = 120°
b = 5
c = 11
Required:
Find A, B, and a.
Solution:
✔️To find B, apply the Law of Sines
[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]
Plug in the values
[tex] \frac{sin(B)}{5} = \frac{sin(120)}{11} [/tex]
Cross multiply
Sin(B)*11 = sin(120)*5
Divide both sides by 11
[tex] sin(B) = \frac{sin(120)*5}{11} [/tex]
[tex] sin(B) = \frac{sin(120)*5}{11} [/tex]
Sin(B) = 0.3936
B = [tex] sin^{-1}(0.3936) [/tex]
B = 23.1786882° ≈ 23.2° (nearest tenth)
✔️Find A:
A = 180° - (B + C) (sum of triangle)
A = 180° - (23.2° + 120°)
A = 36.8°
✔️To find a, apply the Law of sines:
[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{sin(36.8)}{a} = \frac{sin(23.2)}{5} [/tex]
Cross multiply
a*sin(23.2) = 5*sin(36.8)
Divide both sides by sin(23.2)
[tex] a = \frac{5*sin(36.8)}{sin(23.2) [/tex]
a = 7.60294329 ≈ 7.6 (nearest tenth)
Nettlefield primary school have you heard
Answer:
No, I have not heard. Give me brainliest plz, I neeeeeeeeeeed it to level up
Step-by-step explanation:
What is the domain? I think it’s (-4,-3)
Answer:
all real numbers
Step-by-step explanation:
As the graph goes up, it keeps going up and to the right. There is nothing telling us it will stop moving to the right at a certain point. It goes up much faster than it goes right, but it keeps going right and up forever. That makes the domain reach positive infinity. The same happens on the left side. As it goes down to the left, it keeps going left forever to negative infinity. That makes the domain all real numbers from negative infinity to positive infinity.
Domain: all real numbers
The Answer Is All Real Numbers
This is because the graph extends to all x values which makes this corrects.
AB = 5, AP = 4, and DP = 12, then find the length of PC
Answer:
[tex]PC = 0.333[/tex]
Step-by-step explanation:
Given
[tex]AB = 5[/tex]
[tex]AP = 4[/tex]
[tex]DP =12\\[/tex]
See attachment
Required
Find PC
When two chords intersect, the product of the segments are always equal.
In chord DC, the segments are DP and PC
In chord AB, the segments are AP and PB
So:
[tex]DP * PC = AP * PB[/tex]
This gives:
[tex]12 * PC = 4 * PB[/tex] --- (1)
In chord AB, we have:
[tex]AB = AP + PB[/tex]
Make PB the subject
[tex]PB = AB - AP[/tex]
This becomes
[tex]PB = 5 - 4[/tex]
[tex]PB = 1[/tex]
[tex]12 * PC = 4 * PB[/tex] --- (1) becomes
[tex]12 * PC = 4 * 1[/tex]
[tex]12 * PC = 4[/tex]
Make PC the subject
[tex]PC = \frac{4}{12}[/tex]
[tex]PC = 0.333[/tex]
What is the volume of a rectangular prism that is 250 centimeters by 2 meters by 1.4 meters in cubic meters?
(A) 5.9m
(B) 252.8m
(C) 7m
(D) 700m
Answer:
your answer is 7 meters
I hope it's helps you ❤️
34 divided by 8 please I’m helping a kiddo out
Answer:
4.25.
8 divides into 34 4 times, which is 32, then do 34−32, which is 2 (make sure to add your decimal) , then drop the 0 and it goes into 20 twice, subtract and get 4, drop a 0, then subtract 40 by 40 again and get 4.25
what's the distance between (-9,-6) and (-2,-2)
Answer:
the distance formula is square root (x2-x1)^2 + (y2-y1)^2
7^2 + 4^2 = 49+16 = 65
squarroot of 65 = 8.06
Step-by-step explanation:
Step-by-step explanation:
The distance formula is [tex]\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex]. I don't provide answers for problems like these but will give the equations.
3.294e6 standard form
Answer:
3.294
Step-by-step explanation:
The management of KSmall Industries is considering a new method of assembling a computer. The current assembling method requires a mean time of 66 minutes with a standard deviation of 3.0 minutes. Using the new method, the mean assembly time for a random sample of 24 computers was 61 minutes.
a. Using the 0.10 level of significance, can we conclude that the assembly time using the new method is faster?
b. What is the probability of a Type II error? (Round "Critical values" to 2 decimal places and round your final answer to 4 decimal places.)
Answer:
Part a:
Since the calculated z= 8.1649 falls in the critical region z < ± 1.28 we reject H0 and conclude that the assembly time using the new method is faster.
Part b:
P (Type II Error)= 0.6628
Step-by-step explanation:
The null and alternate hypothesis are
H0: μ1 ≥ μ2 against the claim Ha: μ1 < μ2
This is left tailed test
The critical region for this test at 0.10 ∝ is z < ± 1.28
The test statistic
z= x1-x2/ s/√n
z= 66-61/ 3/√24
z= 5/0.61238
z= 8.16486
Since the calculated z= 8.1649 falls in the critical region z < ± 1.28 we reject H0 and conclude that the assembly time using the new method is faster.
Part b:
P (Type II Error) = P ( accept H0/ H0 is false)
z ( ∝)= X-u/s/√n
1.28= X-61/0.61238
X= 61.7838
So I will incorrectly fail to reject the null as long as a draw a sample mean that greater than 61.7838
The probability of a Type II error is given by
P (z> 61.7838-66/24)
P (z>- 0.42161)
From the tables
P (z>- 0.42161)= 0.6628
Find the distance between F and G
Answer:
10 units
Step-by-step explanation:
a resposta certa e 10 unidades
Help pleaseeeeeeeeeeee
Answer:
3Step-by-step explanation:
When looking at a graph, the greatest speed will be the steepest part. Even though one line is further than another, does not mean it is faster.
Solve the equation below.
Answer:
D
Step-by-step explanation:
Just divide by 2/3
what is 2/5 plus 1/10
Answer:
1/2
Step-by-step explanation:
2/5 = 4/10
4/10 + 1/10 = 5/10
5/10 = 1/2
Answer:
decimal form-0.5, fraction form-1/2
Step-by-step explanation:
A report by the US government states that 85,5% of citizens have a cell phone. You want to calculate the probability that exactly 36 out of 48 people in your study group have cell phones.
Answer:
0.0214 = 2.14% probability that exactly 36 out of 48 people in your study group have cell phones.
Step-by-step explanation:
For each citizen, there are only two possible outcomes. Either they have a cellphone, or they do not. The probability of a citizen having a cellphone is independent of any other citizen. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A report by the US government states that 85,5% of citizens have a cell phone.
This means that [tex]p = 0.855[/tex]
You want to calculate the probability that exactly 36 out of 48 people in your study group have cell phones.
This is [tex]P(X = 36)[/tex] when [tex]n = 48[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 36) = C_{48,36}.(0.855)^{36}.(1-0.855)^{12} = 0.0214[/tex]
0.0214 = 2.14% probability that exactly 36 out of 48 people in your study group have cell phones.
The dot plots show the numbers of children’s books purchased by customers at two different bookstores on one day.
Which statement is supported by the information in the dot plots?
A) The mean of the data for Store 1 is greater than the mean of the data for Store2
B) The mode of the data for Store 2 is greater than the mode of the data for Store1
C) The median of the data for Store 2 is greater than the median of the data for Store1
D) The range of the data for Store 1 is greater than the range of the data for Store2
Answer:
A
Step-by-step explanation:
since mean is the most annoying to calculate I went through and did everything else, the range is the same as both charts go 0-6. The median is is the middle number which means store 1 has a higher number of 3' s but our option says store 2 is greater and B is the mode, the number that shows up the most.