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Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 50 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? 2.42 Can it be concluded that the population mean is greater than 50? Yes b. With = 51, what is the value of the test statistic (to 2 decimals)? .97 Can it be concluded that the population mean is greater than 50? No c. With = 51.8, what is the value of the test statistic (to 2 decimals)? 1.65 Can it be concluded that the population mean is greater than 50? Yes
Answer:
Step-by-step explanation:
From the question we are told that:
Null Hypothesis [tex]H_0: 50[/tex]
Alternative Hypothesis [tex]H_a: > 50[/tex]
Sample size [tex]n=50[/tex]
standard deviation[tex]\sigma=6[/tex]
Significance level [tex]\alpha=0.05[/tex]
a)
Sample mean [tex]\=x=52.5[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{52.5-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=2.95[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude The value of test statistics is greater than critical value.
Therefore we Reject the Null hypothesis [tex]H_0[/tex]
b)
Sample mean [tex]\=x=51[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{51-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=1.18[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude,The value of test statistics is less than critical value.
Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]
c)
Sample mean [tex]\=x=51[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{51.8-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=2.12[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude The value of test statistics is greater than critical value.
Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]
The scatter plot shows how the cooking time for a beef roast is related to its weight. Which statement is NOT supported by the trend in the scatter plot?
Answer:
Each additional pound adds about one hour of cooking time.
Step-by-step explanation:
An 11-pound roast will take about 4 hours.
If you look at the plot I assume that the first dot there symbolizes the number 11 and the dot is positioned on about 4 hours. The question is asking which statement isn't supported by the plot and so this is incorrect.
Each additional pound adds about 1/2 hour of cooking time.
Yes, if you once again look at the plot you can see with each additional pound the time it takes to cook is roughly 1/2 hour more than the previous one. Of course there are spaces but by looking at the rest of the plot you can predict where those dots go.
A 16-pound roast will take about 6.5 hours to cook.
Once again if you look at the plot and look for the point that's above 16 lb if you look at it, it does say it takes about 6.5 hours.
Each additional pound adds about one hour of cooking time.
This question must be the answer as the question is asking for the option that is NOT supported by the plot and this answer cannot be supported by the plot if we already know, "Each additional pound adds about 1/2 hour of cooking time." is true.
Arrivals of cars at a gas station follow a Poisson distribution. During a given 5-minute period, one car arrived at the station. Find the probability that it arrived during the last 30 seconds of the 5-minute period g.
Answer:
0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.
Step-by-step explanation:
The car is equally as likely to arrive during each second of the interval, which means that the uniform distribution is used to solve this question.
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X \geq x) = \frac{b - x}{b - a}[/tex]
5-minute period
This means that [tex]a = 0, b = 5*60 = 300[/tex]
Find the probability that it arrived during the last 30 seconds of the 5-minute period.
300 - 30 = 270. So
[tex]P(X \geq 270) = \frac{300 - 270}{300 - 0} = 0.9[/tex]
0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.
What is Mary's location if she travels 3 units left and 4 units up from (5, 0)?
A - (2, 5)
B - (8, 6)
C - (2, 4)
D - (8, 5)
Answer:
here is the right answer
C- (2,4)
find the area of a rectangle with a length of (5x+2) and width of (2x-1)
Step-by-step explanation:
the rectangle area=L*W
(5x+2)(2x-1)
10x^2-5x+4x-2
10x^2-x-2
Which of the following ordered pairs are solutions to the system of equations below?
(3x + 5y = 14
y = 1/2x + 5)
O (2.4)
0 (-2,4)
O (2,6)
O (-2,6)
Answer:
(- 2, 4 )
Step-by-step explanation:
Given the 2 equations
3x + 5y = 14 → (1)
y = [tex]\frac{1}{2}[/tex] x + 5 → (2)
Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)
3x + 5([tex]\frac{1}{2}[/tex] x + 5) = 14
3x + [tex]\frac{5}{2}[/tex] x + 25 = 14
[tex]\frac{11}{2}[/tex] x + 25 = 14 ( subtract 25 from both sides )
[tex]\frac{11}{2}[/tex] x = - 11 ( multiply both sides by 2 )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 into (2) for corresponding value of y
y = [tex]\frac{1}{2}[/tex] × - 2 + 5 = - 1 + 5 = 4
solution is (- 2, 4 )
If the standard deviation of a data set was originally 4, and if each value in the
data set was multiplied by 8.5, what would be the standard deviation of the
resulting data?
A.9
B.34
C.4
D.13
Answer:
d
Step-by-step explanation:
Currently, there are 1,460 wolves in Scataway National Park. If the population of wolves is growing at a rate of 6% every year,
which function represents the number of wolves in Scataway National Park in tyears?
OA W0 = 1,460(1.06)
B. WO = 1,460(0.94)
OC M6 = 1,460(0.06)
OD. WO = (1,460)(1.06)
Answer:
[tex]P(t) = 1460(1.06)^t[/tex]
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for a population after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
Currently, there are 1,460 wolves in Scataway National Park.
This means that [tex]P(0) = 1460[/tex]
Growing at a rate of 6% every year:
This means that [tex]r = 0.06[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 1460(1+0.06)^t[/tex]
[tex]P(t) = 1460(1.06)^t[/tex]
Answer:
Step-by-step explanation:
Subtract the sum of 13 and 6 from 40. *
A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears filled with blackboard errors, the total amount in dollarspaid can be approximated by a Gaussian random variableYnwith expected value 40nandand variance 100n. What is the probability that 20exceeds 1000
Answer:
The correct answer is "0.0000039110".
Step-by-step explanation:
The given values are:
[tex]Y_n\rightarrow N(\mu, \sigma^2)[/tex]
[tex]\mu = 40n[/tex]
[tex]\sigma^2=100n[/tex]
[tex]n=20[/tex]
then,
The required probability will be:
= [tex]P(Y_{20}>1000)[/tex]
= [tex]P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )[/tex]
= [tex]P(Z>\frac{1000-800}{44.7214} )[/tex]
= [tex]P(Z>\frac{200}{44.7214} )[/tex]
= [tex]P(Z>4.47)[/tex]
By using the table, we get
= [tex]0.0000039110[/tex]
Tell whether one figure is a reflection of the other figure
yes or no
Answer:
No
Step-by-step explanation:
Question 11 of 21
If you horizontally compress the exponential function f(x) = 2X by a factor of
4, which of these is the equation of the new function?
A. Rx) = 6*
B. f(x) = 8
C. f(x) = 4(24)
D. AX) = 2(4x)
SUBMIT
Answer:
B) f(x) = 8x
Step-by-step explanation:
Horizontal shifts are representative of "C" in the equation "BF(CX-H)+K"
So, 2x * 4 = 8x
Someone help me out my grads are bad
Answer:
19 in^2
Step-by-step explanation:
3in * 5in = 15in^2
2in * 2in = 4in^2
15in^2 + 4in^2 = 19in^2
Feel free to mark it as brainliest :D
Answer: 19
Step-by-step explanation:
Area of the square + Area of the Triangle
good luck my boi
what is 125%of$500.00
Answer:
125 percent
Step-by-step explanation:
25 percent *500.00 =
(25:100)*500.00 =
(25*500.00):100 =
12500:100 = 125
Now we have: 25 percent of 500.00 = 125
Question: What is 25 percent of 500.00?
Percentage solution with steps:
Step 1: Our output value is 500.00.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$500.00=100\%$.
Step 4: Similarly, $x=25\%$.
Step 5: This results in a pair of simple equations:
$500.00=100\%(1)$.
$x=25\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{500.00}{x}=\frac{100\%}{25\%}$
Step 7: Again, the reciprocal of both sides gives
{x}/{500.00}={25}/{100}$
$Rightarrow x=125$
Therefore, $25\%$ of $500.00$ is $125$
NO LINKS. Find the segment length indicated. Assume that lines which appear to be tangent are tangent. PLEASE SHOW WORK!!
Answer:
? = 9.2
Step-by-step explanation:
The angle between a tangent and radius at the point of contact is 90°
Then the triangle shown is right with legs ? , 6.9 and hypotenuse = (6.9 + 4.2) = 11.5
Using Pythagoras' identity in the right triangle
?² + 6.9² = 11.5²
?² + 47.61 = 132.25 ( subtract 47.61 from both sides )
?² = 84.64 ( take the square root of both sides )
? = [tex]\sqrt{84.64}[/tex] = 9.2
Answer:
Solution given:
BC=BD=6.9 units
AD=4.6units
Now
AB=4.6+6.9=11.5units.
we have
<C=90°[the line from the tangent is perpendicular to the radius of circle]
we know that ∆ABC is a right angled triangle.
hypotenuse [h]=AB=11.5units
base[b]=BC=6.9 units
perpendicular [p]=x units
By using Pythagoras law
h²=p² +b²
11.5²=x²+6.9²
x²=11.5²-6.9²
x²=84.64
x=[tex] \sqrt{86.64} [/tex]=9.2
Sothe segment length indicated is 9.2 units.
Alonzo deposits 300 into an account that pays simple interest at a rate of 4% per year . How much interest will he be paid in the first 4 years
Answer:
1200 was is interested in the first 4years
WORKOUT
View
Take
Page 2 of 30
Question 2
If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in six
minutes?
Choose one
Enter
your
answer
here
Answer:
= 6 typists
Step-by-step explanation:
Well, 2 can type 2 in 2 mins,
So, 1 can type 2 in 4 mins.
So, 1 can type 18 in 36 mins.
So, 2 can type 18 in 18 mins.
So, 6 can type 18 in 6 mins.
based on the information in the diagram?
Answer:
We can not use ASA property of congruence.
Step-by-step explanation:
In ΔHML and ΔHMK,
HL ≅ HK [Given]
LM ≅ KM [Given]
HM ≅ HM [Reflexive property]
m∠L ≅ m∠K [Given]
ASA property of congruence,
Angle-Side-Angle property of congruence.
False
SSS property of congruence,
Side-Side-Side property of congruence,
True
SAS property of congruence,
Side-Included Angle-Side property of congruence,
True.
Therefore, we can not use ASA property of congruence.
1 4/5 is an example of a (n)
Answer:
Mixed Fraction
Step-by-step explanation:
A mixed fraction is a fraction with a whole number attached to it like 5 1/5 or 3 1/2
[tex]1\frac{4}{5}[/tex] is an example of a mixed fraction.
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers.
A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
Properties of Mixed Numbers :
1. It is partly a whole number.
2. It is partly a fraction.
[tex]1\frac{4}{5}[/tex] is an example of a mixed fraction.
In [tex]1\frac{4}{5}[/tex] , 2 is the quotient, 4 is the remainder.
Find out more information about mixed fraction here
brainly.com/question/1301963
#SPJ2
What is the area? PLEASE HELP
Answer:
14mm×20mm=280mm²
14mm×12mm/2=84mm²
3.14×10²mm=314mm²
280m²+84mm²+314mm²=678mm²
Answer:
521mm^2
Step-by-step explanation:
First, separate the shapes.
-Half circle= diameter of 20, radius 10
-Rectangle= 14x20
-Triangle= (32-20)x14= 12x14
Then, calculate
Circle equation= (pi)r^2= (pi)(10)^2= 314.16 -> divide by 2 for half circle= 157.1
Rectangle= 14x20=280
Triangle= (12x14)=168 -> Divide by two because it's a triangle= 84
Add 157 + 280 + 84 and you get 521
Need help due in 10!
Answer:
1. (28-2)x
2.(12+6)x
3.(15+1)x
Step-by-step explanation:
Solve (x – 3)^2 = 5
please help ASAP
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x^2−6x+9=5
Step 2: Subtract 5 from both sides.
x^2−6x+9−5=5−5
x^2−6x+4=0
Step 3: a=1, b=-6, c=4
1x^2+−6x+4=0
Step 4: Quadratic formula (a) =1, b=-6, c=4
x= 6±√20 /2
Step 4: Last Step
x=3−√5
Explanation in words:
The first step of solving (x – 3)^2 = 5 is to use the quadratic formula. So the first step is to Simplify both sides of the equation which is the (x−3)^2. Our answer will led up to 5 after that.
Moving on to step 2 we will have to now subtract the 5 from both sides. So 5−5 = 0. So in this step, our answer is now led up to 0.
Now on the step 3 we will now have to use the formula named "quadratic formula". So in this case we will solve this equation with that formula a=1, b=-6, c=4. At the end our answer will led up to x=3−√5.
Answer:
x=3+√5
x=3−√5
Hope this helps.
Answer:
Step-by-step explanation:
IG you wanted to solve for X ? there are two answers ofc,
x= 3-[tex]\sqrt{5}[/tex]
x=3+[tex]\sqrt{5}[/tex]
2. State the main reasons why farmers are able to grow three different crops in a year in
Palampur
Answer:
abundance of water and suitable climatic conditio n is the main reasons .
A school spent $780,000 in one year to pay all of its teachers and administrators. The school has a total of twenty-four teachers and administrators combined. If teachers make $35,000 per year and administrators make $40,000 per year, how many teachers and how many administrators does the school have?
Answer: Impossible
Step-by-step explanation: Even if 24 people were on the teacher salary, 780,000 still couldn't cover them all.
There are 120 children of whom
9/7are boys. How many are boys?
Find what value of x makes the equation true
[tex]\sf\purple{The\:value\:of\:x\:is\:10.4.}[/tex]✅
Step-by-step explanation:
[tex] \frac{(10x - 4)}{5} = 20 \\ ✒ \: 10x - 4 = 20 \times 5 \\ ✒ \: 10x = 100 + 4 \\ ✒10x = 104 \\ ✒ \: x = \frac{104}{10} \\ ✒ \: x = 10.4[/tex]
[tex]\sf\red{Therefore,\:the\:value\:of\:x\:is\:10.4.}[/tex]
To verify:-
[tex] \frac{(10x - 4)}{5} = 20 \\ ✒ \: \frac{10 \times 10.4 - 4}{5} = 20 \\ ✒ \: \frac{104 - 4}{5} = 20 \\ ✒ \: \frac{100}{5} = 20 \\ ✒ \: 20 = 20 \\ ✒ \: L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Find the probability of having 2,3, or 4
successes in five trials of a binomial
experiment in which the probability of
success is 40%.
Round to the nearest tenth of a
percent.
Answer:
65.3%
Step-by-step explanation:
P(2,3, OR 4)
You have to do each one individually then add them together
5C2(.4)^2 times (.6)^3 + 5C3(.4)^3 times (.6)^3 + 5C4(.4)^4 times (.6)^1=
.3465+.2304+.0768=.6528=65.3%
simplify 8+3{x-2[x+5(x3)]}
the correct answer is negitive one hundred eighty (-180)
Will someone help with this???? ALG 2
Answer:
The answer is D
Step-by-step explanation:
The two solutions are (-2,0) (this is the solution that is on the x axis to the left).
And
(0,2)
Remember the notation is alphabetical. The x value is stated on the left. Then comes a comma, and the y value is on the right of the comma.
Let Y1 denote the weight of a bulk item stocked by a supplier, with a uniform distribution over the interval (0, 1). The random variable Y2 denotes the weight of the item sold and is assumed to have a uniform distribution over the interval (0, y1), where y1 is a specific value of Y1. If the supplier stocked 5 6 ton, what amount in tons could be expected to be sold during the week
Answer:
5/12 ton
Step-by-step explanation:
Y1 ( uniform random variable ) : ( 0, 1 )
Y2 ( uniform distribution ) ; ( 0, y1 )
supplier stocked ; 5/6 ton
Determine the amount of tons expected to be sold
F ( y2 | y1 ) = 1 / y1
E ( y2 | y1 = 5/6 )
The number of tons expected to be sold = 5/12 ton
attached below is the detailed solution