Answers
Answer:
No, because there is just as high of a possibility that the other is biased too.
Related Questions
An industrial expert claims that the average useful lifetime of a typical car transimssion which comes with ten years warranty is significantly more than 10 years. In order to test this claim, 9 car transmissions are randomly selected and their useful lifetimes are recorded. The sample mean lifetime is 13.5 years and the sample standard deviation is 3.2 years. Assuming that the useful lifetime of a typical car transmission has a normal distribution, based on these sample result, the correct conclusion at 1% significance level for this testing hypotheses problem is: Group of answer choices
Answers
Answer:
Step-by-step explanation:
The question is incomplete. The missing information is the group of answer choices. The group of answer choices are
a) none of the above
b) Data provides sufficient evidence, at 1% significance level, to reject the expert's claim. In addition the p-value (or the observed significance level) is equal to P( T < -3.281).
c) Data provides insufficient evidence, at 1% significance level, to support the expert's claim. In addition the p-value (or the observed significance level) is equal to P( Z > 2.896).
d) Data provides sufficient evidence, at 1% significance level, to support the expert's claim. In addition the p-value (or the observed significance level) is equal to P( T >3.355).
e) Data provides insufficient evidence, at 1% significance level, to support the researcher's claim. In addition the p-value (or the observed significance level) is equal to P(Z > 2.896).
Solution:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ ≥ 10
For the alternative hypothesis,
µ < 10
This is a left tailed test.
Since the number of samples is small and the population standard deviation is not given, the distribution is a student's t.
Since n = 9,
Degrees of freedom, df = n - 1 = 9 - 1 = 8
t = (x - µ)/(s/√n)
Where
x = sample mean = 13.5
µ = population mean = 10
s = samples standard deviation = 3.2
t = (13.5 - 10)/(3.2/√9) = 3.28
Since α = 0.01, the critical value is determined from the t distribution table. Recall that this is a left tailed test. Therefore, we would find the critical value corresponding to 1 - α and reject the null hypothesis if the test statistic is less than the negative of the table value.
1 - α = 1 - 0.01 = 0.99
The negative critical value is - 2.896
Since - 3.28 is lesser than - 2.896, then we would reject the null hypothesis.
By using probability value,
We would determine the p value using the t test calculator. It becomes
p = 0.0056
Level of significance = 1%
Since alpha, 0.01 > than the p value, 0.0056, then we would reject the null hypothesis. Therefore, At a 1% level of significance, the sample data showed significant evidence that the average useful lifetime of a typical car transimssion which comes with ten years warranty is significantly less than 10 years
The correct option is
a) none of the above
you currently have 24 credit hours and a 2.8 gpa you need a 3.0 gpa to get into the college. if you are taking a 16 credit hours this semester. what gpa must you get in order to raise your gpa to the correct level? set up an equation and use algebra to solve.
Answers
Answer:
[tex]\sum_{i=1}^n w_i *X_i = 2.8*24 = 67.2[/tex]
And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:
[tex] \bar X_f = \frac{\sum_{i=1}^n w_i *X_i+w_f *X_f }{24+16} = 3.0[/tex]
And we can solve for [tex]\sum_{i=1}^n w_f *X_f [/tex] and solving we got:
[tex] 3.0 *(24+16) =\sum_{i=1}^n w_i *X_i +\sum_{i=1}^n w_f *X_f [/tex]
And from the previous result we got:
[tex] 3.0 *(24+16) =67.2 +\sum_{i=1}^n w_f *X_f[/tex]
And solving we got:
[tex] \sum_{i=1}^n w_f *X_f =120 -67.2= 52.8[/tex]
And then we can find the mean with this formula:
[tex] \bar X_2 = \frac{\sum_{i=1}^n w_f *X_f}{16}= \frac{52.8}{16}=16=3.3[/tex]
So then we need a 3.3 on this semester in order to get a cumulate gpa of 3.0
Step-by-step explanation:
For this case we know that the currently mean is 2.8 and is given by:
[tex] \bar X = \frac{\sum_{i=1}^n w_i *X_i }{24} = 2.8[/tex]
Where [tex] w_i[/tex] represent the number of credits and [tex]X_i[/tex] the grade for each subject. From this case we can find the following sum:
[tex]\sum_{i=1}^n w_i *X_i = 2.8*24 = 67.2[/tex]
And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:
[tex] \bar X_f = \frac{\sum_{i=1}^n w_i *X_i+w_f *X_f }{24+16} = 3.0[/tex]
And we can solve for [tex]\sum_{i=1}^n w_f *X_f [/tex] and solving we got:
[tex] 3.0 *(24+16) =\sum_{i=1}^n w_i *X_i +\sum_{i=1}^n w_f *X_f [/tex]
And from the previous result we got:
[tex] 3.0 *(24+16) =67.2 +\sum_{i=1}^n w_f *X_f[/tex]
And solving we got:
[tex] \sum_{i=1}^n w_f *X_f =120 -67.2= 52.8[/tex]
And then we can find the mean with this formula:
[tex] \bar X_2 = \frac{\sum_{i=1}^n w_f *X_f}{16}= \frac{52.8}{16}=16=3.3[/tex]
So then we need a 3.3 on this semester in order to get a cumulate gpa of 3.0
the ratio of men to women in a village is 12: 25. if there are 120men, (a)how many women are there ?, (b) what is the total number of men to women
Answers
Answer:
a) 250 women
b) 370 in total
Step-by-step explanation:
Men : Women
12 : 25
120 : 250
a) If there are 120 men that means 12 was multiplied 10 times to get 120 so to get the amount for women we multiply 25 ten times which will give 250.
b) the sum will be 120 + 250 = 370
The probability that a house in an urban area will be burglarized is 6%. If 10 houses are randomly selected, what is the probability that none of the houses will be burglarized?
Answers
Answer:
[tex](\dfrac{94}{100})^{10} \ or\ \approx 0.54[/tex]
Step-by-step explanation:
Given :
Probability that a house in an urban area will be burglarized,
[tex]p =6\%=\dfrac{6}{100}[/tex]
To find:
Probability that none of the houses randomly selected from 10 houses will be burglarized = ?
[tex]P(r=0) =?[/tex]
Solution:
This question is related to binomial distribution where:
[tex]p =\dfrac{6}{100}[/tex]
[tex]\Rightarrow[/tex] Probability that a house in an urban area will not be burglarized,
[tex]q =1-6\%=94\%=\dfrac{94}{100}[/tex]
Formula is:
[tex]P(r=x)=_nC_xp^xq^{n-x}[/tex]
Where n is the total number of elements in sample space and
x is the number selected from the sample space.
Here, x = 10 and
x = 0
[tex]\therefore P(r=0)=_nC_0p^0q^{10-0}\\\Rightarrow 1 \times (\dfrac{6}{100})^0\times (\dfrac{94}{100})^{10}\\\Rightarrow 1\times (\dfrac{94}{100})^{10}\\\Rightarrow (\dfrac{94}{100})^{10}\\\\\Rightarrow (0.94)^{10}\\\Rightarrow \approx 0.54[/tex]
I need help on this problem step by step:) It would help me a lot
Answers
Answer:
8x+7
Step-by-step explanation:
follow through the step by step, I will post a proof if you want.
Evaluate cosθ if sinθ = sqrt5/3
Answers
Answer:
2/3
Step-by-step explanation:
sinθ is opposite/hypotenuse (soh cah toa)
If given what sinθ is, you have the opposite leg to θ and the hypotenuse. It helps to draw a triangle. You can figure out the adjacent leg using the pythagorean theorem. [tex]3^{2}[/tex]-[tex](\sqrt{5} )^{2}[/tex] = 4
Square root 4 to find the adjacent leg, 2.
To find cosθ, which is adjacent over hypotenuse, substitute in the respective numbers, which gives you 2/3.
Find a probability. A bag contains 10 red M&Ms, 15 blue M&Ms, and 20 yellow M&Ms. a) What is the probability of drawing a yellow M&M? b) What is the probability of drawing something besides a blue M&M?
Answers
Answer:
a) 4/9
b) 2/3
hope it helps!
Step-by-step explanation:
a) number is yellow m&ms = 20
total number of m&ms = 10+15+20
= 45
Probability of getting a yellow m&m = 20/45
= 4/9
b) Number of blue m&ms = 15
Number of m&ms that aren't blue = 45-15 = 30
Total number of m&ms = 45
Probability of getting something besides blue m&m = 30/45
= 2/3
Sophie has 60 pencils. How many blunt pencils does she have if the ratio of
sharpened pencils to blunt pencils is 4:1?
Answers
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]\frac{60}{4+1}[/tex]
[tex]\frac{60}{5} =12[/tex]
[tex]4:1[/tex]
[tex]4 \times 12: 1 \times 12[/tex]
[tex]48:12[/tex]
Find the domain and range of the following function ƒ(x) = 5|x - 2| + 4 Domain: [4,8) Range: (-∞,∞) Domain: (4,∞) Range: (-∞,∞) Domain: (-∞,∞) Range: [4,∞) Domain: (-∞,∞) Range: (4,∞)
Answers
Answer:
Step-by-step explanation:
Hi,
the function is defined for all reals so the domain is [tex]]-\infty;+\infty[[/tex]
for x real
|x| >= 0
so f(x) >= 4
so the range is [tex][4;+\infty[[/tex]
do not hesitate if you need any further explanation
hope this helps
Answer:
Domain: (-∞,∞) Range: (4,∞)
Please answer this correctly
Answers
Answer:
11 2/3 tablespoons.
Step-by-step explanation:
[tex]1+1+1\frac{1}{3} +1\frac{1}{3} +1\frac{2}{3} +1\frac{2}{3} +1\frac{2}{3} +2=\\\\2+2\frac{2}{3} +3\frac{6}{3} +2=\\\\9\frac{8}{3} =\\\\11\frac{2}{3}[/tex]
11 2/3 tbsp chocolate mix
$425, but everything is on sale for 20% off. What is the amount of the discount? What is the cost of the table after the discount?
Answers
Answer:
$85 discount and $340 after Discount
Step-by-step explanation:
425x0.20=85
425-85=340
Write the Algebraic expression for each of the following.
1. Sum of 35 and 65
2. Take away 14 from y
3. Subtract 3 from the product of 6 and s
4. 10 times the sum of x and 8 5. Take away p from 6
Answers
Step-by-step explanation:
1. 35 + 65
2. y - 14
3. (6 x s) - 3
4. 10(x+8.5).. 6-p
A basketball coach is looking over the possessions per game during last season. Assume that the possessions per game follows an unknown distribution with a mean of 56 points and a standard deviation of 12 points. The basketball coach believes it is unusual to score less than 50 points per game. To test this, she randomly selects 36 games. Use a calculator to find the probability that the sample mean is less than 50 points. Round your answer to three decimal places if necessary.
Answers
Answer:
The probability that the sample mean is less than 50 points = 0.002
Step-by-step explanation:
Step(i):-
Given mean of the normal distribution = 56 points
Given standard deviation of the normal distribution = 12 points
Random sample size 'n' = 36 games
Step(ii):-
Let x⁻ be the random variable of normal distribution
Let x⁻ = 50
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{50-56 }{\frac{12}{\sqrt{36} } }= -3[/tex]
The probability that the sample mean is less than 50 points
P( x⁻≤ 50) = P( Z≤-3)
= 0.5 - P(-3 <z<0)
= 0.5 -P(0<z<3)
= 0.5 - 0.498
= 0.002
Final answer:-
The probability that the sample mean is less than 50 points = 0.002
Answer:
56
2
.001
Step-by-step explanation:
The Central Limit Theorem for Means states that the mean of any sampling distribution of the means is equal to the mean of the population distribution. The standard deviation is equal to the standard deviation of the population divided by the square root of the sample size. So, the mean of this sampling distribution of the means with sample size 36 is 56 points and the standard deviation is 1236√=2 points. The z-score for 50 using the formula z=x¯¯¯−μσ is −3.
z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
-3.0 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001
-2.9 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.001 0.001 0.001
-2.8 0.003 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002
-2.7 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003
-2.6 0.005 0.005 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004
-2.5 0.006 0.006 0.006 0.006 0.006 0.005 0.005 0.005 0.005 0.005
Using the Standard Normal Table, the area to the left of −3 is approximately 0.001. Therefore, the probability that the sample mean will be less than 50 points is approximately 0.001.
help me out with this please
Answers
Answer:
6.5 cm³
Step-by-step explanation:
3*3*1/2 + 1*1*(3- 1 1/2) + 1*2*(3/4-1/2)= 6.5 cm³
In rhombus MNOP, mMNO = 24. What is the measure of PMO
Answers
Which of the following is NOT a collinear point in the image below?
Answers
Which line is parallel to the line y = 1/2 x + 5 and passes through the point (-2, 1)?
Answers
Answer:
[tex]y = \frac{1}{2} x+2[/tex]
Step-by-step explanation:
Parallel => So, Its slope would be the same as this one
Slope = m = 1/2
Now,
Point = (x,y) = (-2,1)
So, x = -2, y = 1
Putting this in the slope - intercept equation to get b
[tex]y = mx+b[/tex]
1 = (1/2)(-2)+b
1 = -1+b
Adding 1 to both sides
b = 1+1
b = 2
Now Putting m and b in the slope - intercept equation to get the equation of this line
[tex]y = \frac{1}{2} x+2[/tex]
a triangle has a base length of 15.4 cm. the area of the triangle is 65.45 cm.
Answers
Answer:
8.5 cm
Step-by-step explanation: The formula for the area of a triangle is base times height divided by 2. To find the original number before dividing by 2 you have to multiply 65.45 times 2, which is 130.9. The length is 15.4 and the original number before dividing by 2 is 130.9 to find the height divide 130.9 by 15.4 which is 8.5. If you plug in the value height is 8.5 cm , length is 15.4 and multiply it and divide it by 2 you will get 65.45.
Translate and solve: 30 times m is greater than −330. (Write your solution in interval notation.)
Answers
Answer:
(-11, infinity)
Step-by-step explanation:
30m>-330
m>-11
(-11, infinity)
The range of values of m solved by obtain the value of m in the equation given is (-11, infinity)
Expressing the problem Mathematically :
30m > - 330We can solve for m thus ;
30m> - 330
Divide both sides by 30
m > - 11
Hence, the value of m is greater than -11 up till infinity
Therefore, result expressed in interval notation (-11, infinity)
Learn more : https://brainly.com/question/18109354
Stephen and Laura want to split a bag of fun-sized candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which Stephen values at $1, $3, and $4 respectively. (This means Stephen values the 100 Snickers together at $1, or $0.01 for 1 Snickers)
If Kendra is the divider, and in one half puts: 30 Snickers , 40 Milky Ways , and 66 Reese's
a. What is the value of this half in Dustin's eyes?
b. Does D ustin consider this a fair share?
c. If Dustin was a divider, find a possible division that is consistent with his value system
Answers
Answer:
a) $4.14
b) No
c) 28 Snickers, 40 Milky Ways, 63 Reese's
72 Snickers, 60 Milky Ways, 37 Reese's
Step-by-step explanation:
a)
Since 1 Snickers is $0.01, 1 Milky Ways is $0.03, and 1 Reese's is $0.04:
30 Snickers: 30(0.01) = 0.3
40 Milky Ways: 40(0.03) = 1.2
66 Reese's: 66(0.04) = 2.64
The value is: 0.3 + 1.2 + 2.64 = 4.14
b)
The total value is: 1 + 3 + 4 = 8
A fair share must have the same value, 8/2 = 4. Since one half is 4.14 which is more than 4, it is not a fair share.
c)
First half:
28 Snickers: 28(0.01) = 0.28
40 Milky Ways: 40(0.03) = 1.2
63 Reese's: 63(0.04) = 2.52
Second half:
72 Snickers: 72(0.01) = 0.72
60 Milky Ways: 60(0.03) = 1.8
37 Reese's: 37(0.04) = 1.48
What is the solution y=-2x+4 and y=x-2
Answers
Answer:
Look below
Step-by-step explanation:
Find the product of
3/5 × 7/11
Answers
Answer:
21/55
Step-by-step explanation:
Simply multiply the top 2 together:
3 x 7 = 21
And the bottom 2 together:
5 x 11 = 55
21/55 is your answer!
People who are good at maths help
Answers
Answer:
F-6
E-12
V-8
Step-by-step explanation:
In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.
hope this helps :))
Judy wants to buy a new bed, but it will cost her $668. The sales tax rate is 4.4% where she is buying the bed. Her budget only allows her to purchase a bed that is no more than $700. the sales tax for her. Round to two decimal places.
Answers
Answer:
$41.21
Step-by-step explanation:
In a recent household telephone survey of 2,550 adults in a certain country, 27% reported that they own at least one gun. The researchers want to estimate the true percentage of adults in that country that own at least one gun. Complete parts a through f below a. Identify the population of interest to the researchers. Choose the correct answer below.
a. The set of adults that responded to the survey
b. The set of guns in the country
c. The set of adults in the country that own a gun (CMD.
d. The set of all gun ownership status (yes/no) values for all adults in the country.
Answers
Answer
option D
Step-by-step explanation:
The population of interest to the research is the set of all gun ownership status (yes/no) values for all adults in the country. Or all total adults in a country including those that own a gym or not. This is the population of interest. The sample is the 2550 individuals adults surveyed in the household telephone survey.
Find the volume of the cone.
4 cm
3 cm
V = [?] cm3
Round to the nearest tenth.
Answers
Answer:
Volume of a cone = 1/3πr²h
h = height
r = radius
r = 3cm h = 4cm
Volume = 1/3π(3)²(4)
= 36 × 1/3π
= 12π
= 36.69cm³
= 37cm³ to the nearest tenth
Hope this helps
Answer:
37.7
_______
NOT 37
Step-by-step explanation:
v = [tex]\frac{1}{3}[/tex] · [tex]\pi[/tex] · [tex]r^{2}[/tex] · [tex]h[/tex]
v = [tex]\frac{1}{3}[/tex] · [tex]\pi[/tex] · [tex]3^{2}[/tex] · [tex]4 = 12\pi = 37.69911 =[/tex] 37.7
This applet illustrates 95% confidence intervals for samples from a normal distribution with known variance.
When taking 100 samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean.
a. True
b. False
Which statement is the correct interpretation of the confidence interval in this illustration
a. The probability the true mean is between 76.08 and 83.92 is 0.95 or 95%.
b. We are 95% confident that the true mean is between 76.08 and 83.92.
Answers
Answer:
1- b. False
2 b. We are 95% confident that the true mean is between 76.08 and 83.92.
Step-by-step explanation:
Confidence Interval is the estimated value that is computed from the statistic of data which is observed. The range value is plausible for unknown parameters. To find the critical value the confidence interval value is observed through the t-value table.
3. Factor the expression.
d2 + 120 + 36
A (d + 6)2
B (d - 36)(0 - 1)
OC (d - 6)2
D (d + 6)(d - 6)
Answers
Answer:
The complete factored form of this equation is (d + 6)²
Step-by-step explanation:
The first step in factoring this equation is multiply the first term and the last term together. Out first term is d² and our last term is 36. Since d² does not have a coefficient, then we assume this number to be 1.
1 × 36 = 36
So, now we need to find two factors that multiply to 36 and add together to get 12. Two factors that best represents this is 6 and 6. So, we will plug these numbers into our equation. Replace 12d with 6d + 6d.
d² + 6d + 6d + 36
Group the first two terms together and the last two terms together.
(d² + 6d) + (6d + 36)
Now, find the greatest common factor of each parentheses and factor the terms.
d(d + 6) + 6(d + 6)
From looking at this, we can tell that this equation is a perfect squared equation. So, this means instead of writing both parentheses, we can just write one of the parentheses and square it.
So, the factored form of this equation is (d + 6)²
for a sample size of 115 and a population parameter of 0.1,what is the standard deviation of the normal curve that can be used to approximate the binomial probability histogram. Round your answer to three decimal places
A.0.028
B.0.054
C.0.043
D.0.035
Answers
Answer:
A) 0.028
Step-by-step explanation:
Given:
Sample size, n = 115
Population parameter, p = 0.1
The X-Bin(n=155, p=0.1)
Required:
Find the standard deviation of the normal curve that can be used to approximate the binomial probability histogram.
To find the standard deviation, use the formula below:
[tex]\sigma = \sqrt{\frac{p(1-p)}{n}}[/tex]
Substitute figures in the equation:
[tex]\sigma = \sqrt{\frac{0.1(1 - 0.1)}{115}}[/tex]
[tex]\sigma = \sqrt{\frac{0.1 * 0.9}{115}}[/tex]
[tex]\sigma = \sqrt{\frac{0.09}{115}}[/tex]
[tex] \sigma = \sqrt{7.826*10^-^4}[/tex]
[tex] \sigma = 0.028 [/tex]
The Standard deviation of the normal curve that can be used to approximate the binomial probability histogram is 0.028
Need help ASAP thank you!!!!
Answers
Answer:
65.97
Step-by-step explanation:
volume of a cone is pi(r)^2(h)/3
hope this helps
