Answer:
[tex]t_{n-1,\alpha/2}=3.59114678[/tex]
Therefore we do not have sufficient evidence at [tex]1\%[/tex] level that the true mean diameter has moved away from the target
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=36[/tex]
Mean diameter [tex]\=x=1.4[/tex]
Standard deviation [tex]\sigma=0.5cm[/tex]
Null hypothesis [tex]H_0 \mu=1.5[/tex]
Alternative hypothesis [tex]\mu \neq 1.5[/tex]
Significance level [tex]1\%=0.001[/tex]
Generally the equation for test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }[/tex]
[tex]t=\frac{1.4-1.5}{\frac{0.5}{\sqrt{36} } }[/tex]
[tex]t=-1.2[/tex]
Therefore since this is a two tailed test
[tex]t_{n-1,\alpha/2}[/tex]
Where
[tex]n-1=36-1=>35[/tex]
[tex]\alpha=/2=0.001/2=>0.0005[/tex]
From table
[tex]t_{n-1,\alpha/2}=3.59114678[/tex]
Therefore we do not have sufficient evidence at [tex]1\%[/tex] level that the true mean diameter has moved away from the target
Need help :(( you can answer one or both of the questions
The weight of a bag of Brand A cookies is labeled as 4 ounces on the bag. However, the actual weights of the bags vary by a small amount. According to the package
specifications, the weights are approximately normally distributed with a mean of 4.10
ounces and a standard deviation of 0.10 ounce. During a quality control check on the bag weights, a bag was found that weighted 3.95 ounces. how many standard deviations below the mean was the bag weight?
Answer:
2
Step-by-step explanation:
Mark me the brainliest please
The weight of the bag is 1.5 standard deviations down the mean weight.
What is normal distribution?
'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'
According to the given problem,
Mean weight (μ) = 4.10 ounces
Standard deviation (σ) = 0.10
Target weight (x) = 3.95
We know,
Z = ( x - μ ) / σ
= (3.95 - 4.10) / 0.10
= -1.5
Hence, we can conclude, the target weight is 1.5 standard deviations down.
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A study of the career paths of hotel general managers sent questionnaires to an SRS of 230 hotels belonging to major U.S. hotel chains. There were 109 responses. The average time these 109 general managers had spent with their current company was 12.08 years. (Take it as known that the standard deviation of time with the company for all general managers is 2.7 years.) (a) Find the margin of error for an 80% confidence interval to estimate the mean time a general manager had spent with their current company: years (b) Find the margin of error for a 99% confidence interval to estimate the mean time a general manager had spent with their current company: years (c) In general, increasing the confidence level the margin of error (width) of the confidence interval. (Enter: ''DECREASES'', ''DOES NOT CHANGE'' or ''INCREASES'', without the quotes.)
Answer:
a)
The margin of error is of 0.33 years.
b)
The margin of error is of 0.67 years.
c)
INCREASES
Step-by-step explanation:
In this question, we have that:
Sample of 109 means that [tex]n = 109[/tex]
The standard deviation of time with the company for all general managers is 2.7 years, which means that [tex]\sigma = 2.7[/tex]
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.1= 0.9[/tex], so Z = 1.28.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
So
[tex]M = 1.28\frac{2.7}{\sqrt{109}} = 0.33[/tex]
The margin of error is of 0.33 years.
Question b:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005= 0.995[/tex], so Z = 2.575. So
[tex]M = 2.575\frac{2.7}{\sqrt{109}} = 0.67[/tex]
The margin of error is of 0.67 years.
(c) In general, increasing the confidence level the margin of error (width) of the confidence interval.
We have that:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
That is, M and z are direct proportional, and since z increases when the confidence level increases, the marign of error will increase. So the answer is INCREASES.
A cylindrical grain bin has a radius of 9 feet and a height of 30 feet. How many cubic feet of grain can the bin hold?
Answer:1696.46
Step-by-step explanation:
V = π r 2 h
24. What is the volume of a rectangular prism with f = 4 1/2 cm, w= 3 1/2 cm, and h= 6 cm
A 902 cubic centimeters
B 942 cubic centimeters
C 95 cubic centimeters
D 952 cubic centimeters
Lucas hosted a New Year's dinner for his employees.
The total bill was $1,011.50. He left the server a 20%
tip. How much money did Lucas tip the server?
Round your answer to the nearest hundredth.
Answer:
$202.30
Step-by-step explanation:
You want to know the value of a 20% tip on a bill of $1011.50.
TipThe tip amount can be found by multiplying the bill amount by the tip percentage:
20% · $1011.50 = $202.30
Lucas tipped the server $202.30.
__
Additional comment
You know that 10% of the amount can be found by moving the decimal point one place: $101.15.
20% of the amount will be double this value: $202.30. You can do this math mentally.
Anyone knows the answer ?
The solution for the question found using the double angle formula for cosine is -[tex]\frac{7}{25}[/tex].
What are double angle formulae?
There are some trigonometric formulas that are known as double angle formulae because they contain double angles, such as Sin 2x, Cos 2x, and Tan 2x.
The double angle formula for cosine is
Cos 2θ = Cos²θ - Sin²θ
=2Cos²θ – 1
= 1 – 2Sin²θ
Given sinθ = [tex]\frac{4}{5}[/tex]
cos(2θ) = 1-2sin²θ = [tex]1-2[/tex]×( [tex]\frac {4}{5}[/tex])² = [tex]1-[/tex] [tex]\frac{32}{25}[/tex] = [tex]\frac{-7}{25}[/tex]
Therefore Cos(2θ) fund using double angle formula is -[tex]\frac{7}{25}[/tex]
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The solution for the question found using the double angle formula for cosine is -.7/-25
What are double angle formulae?There are some trigonometric formulas that are known as double angle formulae because they contain double angles, such as Sin 2x, Cos 2x, and Tan 2x.
What is angle?An angle is a measure of the amount of rotation between two rays or lines that share a common endpoint, called the vertex of the angle. The two rays or lines are called the sides of the angle, and the endpoint is called the vertex. The size of an angle is typically measured in degrees or radians, with one full rotation around a point (360 degrees or 2π radians) being equal to a full circle.
The double angle formula for cosine is
Cos 2θ = Cos²θ - Sin²θ
=2Cos²θ – 1
= 1 – 2Sin²θ
Given sinθ = 4/5
cos(2θ) = 1-2sin²θ = 1-2×(4/5 )² = 1-32/25 = -7/25
Therefore Cos(2θ) fund using double angle formula is -
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If the original price is $18.00and the markup is %70 what is the total
Answer:
$30.60
Step-by-step explanation:
Please write that as 70%.
The total is the original price plus 70% of that price, or
100% plus 70%, or
170%
Change 170% to 1.70 and multiply the original price by that:
Total price including markup: 1.70($18) = $30.60
Please help as fast as possible
Answer:
Hello There!!
Step-by-step explanation:
6n=6×n
6×7=42
hope this helps,have a great day!!
~Pinky~
A new school is ordering math text books. They are 3/4 of an inch thick. How many these books will fit into a book shelf that is 2 feet long.
Answer:
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
24 inches are 2 feet
3/4 x 32 = 24
24 inches = 2 feet
What is the image of (-5,-6)(−5,−6) after a reflection over the line y=-xy=−x?
PLSSSS HELP WILL GIVE BRAINLIEST
NO LINKS OR BANNED
Tina is constructing an angle congruent to ZABC.
What is her next step?
A. Using MN as the radius, place the center of the
compass on P and construct an intersecting arc.
B. Using MB as the radius, place the center of the
compass on P and construct an intersecting arc.
C. Using MN as the radius, place the center of the
compass on Y and construct an intersecting arc.
D. Using MN as the radius, place the center of the
compass on X and construct the intersecting
arc.
Answer:
C
Step-by-step explanation:
what is the slope for the equation?
Answer:
Slope: -1/2
Step-by-step explanation:
You can find the slope from this equation by adding 1/2 to each side of the equation since the way you find the slope of a line is by using: y = mx + b. The "m" must ALWAYS be on the right for it to be a valid slope equation, therefore, we have to use inverse operations for -1/2x to bring it to the right side.
Now, after we added 1/2x to each side, we get this equation:
-y = 1/2x + 3/4
We are not yet done since the y is accompanied by a negative 1, so, to isolate the variable, you use inverse operations once again and you get this equation:
y = -1/2x - 3/4
Therefore, the slope for this equation is -1/2.
Hope this helped! :D
The UR Nuts Company sells Deluxe and Premium nut mixes, both of which contain only cashews, brazil nuts, almonds, and peanuts. The Premium nuts are much more expensive than the Deluxe nuts. A consumer group suspects that the two nut mixes are really the same. To find out, the group took separate random samples of 20 pounds of each nut mix and recorded the weights of each type of nut in the sample. Here are the data:
Type of mix
Type of nut Premium Deluxe
Cashew 6lb 5lb
Brazil nut 3lb 4lb
Almond 5lb 6lb
Peanut 6lb 5lb
Required:
Explain why we can't use a chi-square test to determine whether these two distributions differ significantly.
Answer:
No the conditions for this test are not met, as 20% of the data has expected value less than 5. And 37.5% data is equal to 5.
Step-by-step explanation:
The conditions for the chi square test independence are
1) the sample is a random sample
2) the variable under study is categorical
3) all expected value of the number of sample observations are greater or equal to 5.
A)The observations must be independent
B) for 2 categories the expected values must be at least 5
C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5
The observations given have equal chances of occurrences or are dependent on each other.
The sample collected has 20 % of data having expected values less than 5.
And 37.5% data is equal to 5.
We cannot use a chi-square test to determine whether these two distributions differ significantly because the expected value for some cells is less than 5.
What are the requirements for chi square test of independence?The variables under study must be categoricalSample is random sampleThe expected frequency count for each cell of the contingency table is at least 5.For the considered case, the sample is not large enough.
Although the sample was taken randomly and values are categorical, expected values are sometimes less than 5 for some cells of the contingency table.
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The graph shows a parabola and its focus. Write the equation of the parabola in vertex form.
Parabola (0, 2)
Focus (0, -1)
9514 1404 393
Answer:
y = -1/12x² +2
Step-by-step explanation:
For vertex (h, k) and vertex-to-focus distance p, the vertex form equation is ...
[tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex]
Here, the vertex-to-focus distance is -1-2 = -3 units. The vertex is (h, k) = (0, 2). So, the equation of the parabola is ...
[tex]\boxed{y=-\dfrac{1}{12}x^2+2}[/tex]
Suppose that the relation S is defined as follows. S={(-6,9), (7, 2), (-6, -1)} Give the domain and range of S.
Answer:
[see below]
Step-by-step explanation:
The domain are all the x-values of the relation or function, while the range are all the y-values of the relation.
The x-values of the relation are -6 and 7.
The y-values of the relation are -1, 2, and 9.
Therefore:
Domain: {-6, 7}
Range: {-1, 2, 9}
Hope this helps you.
Solve -2y>10
A - y<-5
B - y>-5
C - y<5
D - y>5
Answer:
y < -5
Step-by-step explanation:
The catch for this problem is remembering that when you divide by a negative number, your > or < will switch, so in this case, our > sign will become a < sign, otherwise its not too complicated!
-2y > 10
y < -5
what is the answer to [(x²+4x)-2]²
Answer:
[tex]x^{4}[/tex] + 8x³ + 12x² - 16x + 4
Step-by-step explanation:
Given
[(x² + 4x) - 2 ]² ← simplify contents of bracket
= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis
= [tex]x^{4}[/tex] + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms
= [tex]x^{4}[/tex] + 8x³ + 12x² - 16x + 4
What is an angle that is supplementary to AEB?
Answer:
There are two. <CEB and <AED. You could put either one.
Step-by-step explanation:
There are two. <CEB and <AED. You could put either one.
Which buying method involves ordering a set amount of inventory at regular times? A. Last in first out B. Fixed order C. Just in time D. Economic order quantity Please select the best answer from the choices provided A B C D
Answer:
fixed order
Step-by-step explanation:
Answer:
Step-by-step explanation:
It’d be C
two subtracted from the product of 9 and a number is greater than or equal to 19 .
translate the sentence into an inequality
Answer: 9x - 2 >= 19.
Step-by-step explanation:
The sentence can be translated into the inequality 9x - 2 >= 19.
Here is a step-by-step breakdown:
"Two subtracted from the product of 9 and a number" can be written as 9x - 2.
"Is greater than or equal to 19" can be written as >= 19.
Putting these two pieces together, we get the inequality: 9x - 2 >= 19.
URGENT: please help!!!!!!!!!
Answer:
In the form of y=mx+b:
y = -5/6x-5
Step-by-step explanation:
I'm not that good at explaining, but I'll try:
Slope intercept is y=mx+b, M is the slope of the line which is rise over run, the rise is -5 (distance traveled along y-axis) and the run is 6 (distance traveled along x-axis) found from two points: (-6, 0) and (0, -5). Using this data -5/6 can be plugged in for M, and b is the y variable at (0, _) in this case the y variable is -5. The final answer after plugging everything in is y=-5/6x-5, I hope this wasn't too confusing.
The first, second and fourth terms of
a proportion are 16, 24 and 54
respectively. Then the third term is:
Answer: 36
Step-by-step explanation:
This is a geometric progression. The formula for a geometric progression is given as:
= ar^n-1
where
a = first term = 16
r = common ratio = 24/16 = 1.5
n = 3
Therefore, the 3rd term will be:
= ar^n-1
= 16 × 1.5^3-1
= 16 × 1.5²
= 36
Therefore, the third term of the progression is 36.
HELP ME PLEASEEEEEEE
Answer:
It would be in this order:
Types of Quads:
Rectangle
Square
Rhombus
Trapezoid
Type of Triangles:
Equaliteral
Isoceles
Scalene
Step-by-step explanation:
Hope it helps
Subtract: [tex]\frac{6}{2x^2+8x} -\frac{x}{4x^2+12-16} =\frac{6}{2x(x+4)} -\frac{x}{4(x+4)(x-1)} =\frac{6*2(x-1)}{2x(x+4)*2(x-1)} -\frac{x*x}{4(x+4)(x-1)*x}[/tex]
A:[tex]\frac{-2x^2+12x-12}{2(x+4)(x-1)}[/tex]
B:[tex]\frac{-x^2+6x-6}{2(x+4)(x-1)}[/tex]
C:[tex]\frac{-2x^2+12x-12}{4(x+4)(x-1)}[/tex]
D:[tex]\frac{-x^2+12x-12}{4x(x+4)(x-1)}[/tex]
Step-by-step explanation:
I think D
Need help with this help me out
A 7 sided die is rolled. What is the probability a number greater than 5 or an odd number is rolled?
Answer:
5/7
Step-by-step explanation:
5,6,7,1, and 3 would have to be rolled, which is 5 out of the 7 numbers that can possibly be rolled
** If you cannot see, please zoom in and my apologies.
Cassie used a random sample from class A and class B to create these box plots.
Which box plot has a greater variability?
A. Box plot A because it has a greater range.
B. Box plot B because it has a greater range.
C. Box plot A because it has a greater median.
D. Box plot B because it has a greater median.
PLEASE, don’t answer if you don’t know the answer to this question. Whoever answers correctly will get Brainliest! :)
Answer:
A
Step-by-step explanation:
The greater the range the greater the variability of the numbers
Answer: A
Box plot A because it has a greater median.
Step-by-step explanation:
Hope this help!
Johnny combined 7/4 cups of pancake mix and 3/4 of a cup of water to
make pancake batter. If he uses 1/4 of a cup of batter to make each
pancake, how many pancakes can Johnny make from his batter?
CAN U PLS PUT STEP BY STEP PLS?
Answer:
10
Step-by-step explanation:
in total there are 10/4 mixture so if one pancake is 1/4 10 pancakes can be made
In triangle RST, find the value of X. Round to the nearest tenth.
Answer:
238.9
Step-by-step explanation:
check the above attachment to verify the answer.