We have a dataset measuring the average weight of apples in Walmart. We randomly weighed 200 apples among all of them, 120 apples have weight larger than 100 grams. Wal- mart want to perform a null hypothesis that the true proportion of apple weights larger than 100 grams is 0. 5. And the alternative hypothesis is that the proportion is larger than 0. 5. Find the p-value of the hypothesis testing
Answers
The p-value for the hypothesis test is approximately 0.000006.
To find the p-value, we follow these steps:
1. State the null hypothesis (H0) and alternative hypothesis (H1):
H0: p = 0.5
H1: p > 0.5
2. Calculate the sample proportion (p-hat): p-hat = 120/200 = 0.6
3. Calculate the test statistic (z) using the formula: z = (p-hat - p) / √((p * (1 - p)) / n)
z = (0.6 - 0.5) / √((0.5 * 0.5) / 200) ≈ 2.683
4. Find the corresponding p-value using a z-table or calculator. The area to the right of the test statistic (2.683) is approximately 0.000006.
Since the p-value (0.000006) is less than the significance level (typically 0.05), we reject the null hypothesis, indicating that the true proportion of apple weights larger than 100 grams is larger than 0.5.
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Related Questions
Look at the picture.....
Answers
Answer:
Step-by-step explanation:
y = a|x-h| + k
(h,k) is the vertex
There's no standard formula for absolute values. I just made it up as an example, pretty much.
Since a is negative, the function opens downward.
h = -2, k = 0, so the vertex is at (-2,0)
Answer:
i dono
Step-by-step explanation:
Circle C is inscribed in triangle QSU. Circle C is inscribed in triangle Q S U. Points R, T, and V of the circle are on the sides of the triangle. Point R is on side Q S, point T is on side S U, and point V is on side Q U. The length of Q R is 10, the length of R S is 2 x, the length of S T is x + 3, and the length of T U is 4. What is the perimeter of triangle QSU? 3 units 16 units 30 units 40 units
Answers
Answer:
I can confirm the answer is:
D. 40 units
Step-by-step explanation:
I just took the test on edge and got it right!
The perimeter of the Δ QSU is given as 40 units. (Option D). See explanation below.
What is the perimeter of Δ QSU?We can derive the perimeter by stating:
2x = x + 3 ⇒ x = 3
This is because Δ RSC ≅ Δ TSC
RS = 2 x 3 = 6 = ST
This is because ΔQRC ≅ ΔQVC
TV = VU = 4; we know this because
ΔCVU ≅ Δ CTU
Thus
QR = QV = 10
CΔQSU = 10 + 6 + 10 +14
= 40 Units.
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What are the solutions of this quadratic equation?
x² + 4 = 8x + 5
A = 4 ± √7
B = 4 ± √17
C = 8 ± √34
D = 82√17
Answers
Given equation to us is \( x^2+4=8x+5\)
And we need to find out the solutions to the given equation. We can rewrite the equation as ,
\(\longrightarrow x^2+4-8x-5=0 \)
Simplify,
\(\longrightarrow x^2-8x-1=0\)
Now this equation is in standard form of quadratic equation which is \(ax^2+bx+c=0\)
With respect to the standard form ,
\( a =1\)\( b =-8\)\( c =-1\)Now we may use the quadratic formula for finding the roots as ,
Quadratic formula:-\(\longrightarrow x =\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \)
So that,
\(\longrightarrow x =\dfrac{-(-8)\pm\sqrt{-8^2-4(1)(-1)}}{2(1)}\\\)
\(\longrightarrow x =\dfrac{8\pm\sqrt{64+4}}{2}\\\)
\(\longrightarrow x =\dfrac{8\pm \sqrt{68}}{2}\\ \)
\(\longrightarrow x =\dfrac{8\pm 2\sqrt{17}}{2}\\ \)
\(\longrightarrow\underline{\underline{ x = 4\pm \sqrt{17}}} \)
And we are done!
A test with hypotheses H0:μ=5, Ha:μ<5, sample size 36, and assumed population standard deviation 1.2 will reject H0 when x¯<4.67. What is the power of this test against the alternative μ=4.5?
A. 0.8023
B. 0.5715
C. 0.9993
D. 0.1977
Answers
The power of a statistical test is the probability of correctly rejecting the null hypothesis when the alternative hypothesis is true. In this case, the null hypothesis (H0) is that the population mean (μ) is equal to 5, and the alternative hypothesis (Ha) is that μ is less than 5.
To calculate the power of the test, we need to determine the critical value for the given significance level (α) and calculate the corresponding z-score. Since the alternative hypothesis is μ < 5, we will calculate the z-score using the hypothesized mean of 4.5.
First, we calculate the z-score using the formula: z = (x¯ - μ) / (σ / √(n)), where x¯ is the sample mean, μ is the hypothesized mean, σ is the population standard deviation, and n is the sample size.
z = (4.67 - 4.5) / (1.2 / √(36)) = 0.17 / (1.2 / 6) = 0.17 / 0.2 = 0.85
Next, we find the corresponding area under the standard normal curve to the left of the calculated z-score. This represents the probability of observing a value less than the critical value.
Using a standard normal distribution table or a calculator, we find that the area to the left of 0.85 is approximately 0.8023.
Therefore, the power of this test against the alternative hypothesis μ = 4.5 is approximately 0.8023, which corresponds to option A.
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the second box has options in it that say “in the center”, “on the left”, and "on the right”
Answers
Answer:
skew right;
most of the data is on the left (the start)
Step-by-step explanation:
Observing the data distribution in the leaf plot given, we would see that most of the data are occuring at the start. This can be referred to as a positively skewed data. The tail of the distribution (the thin side) is to the right.
Therefore, the shape can be described as SKEW RIGHT.
A farmer goes to the market to sell a box of eggs. A clumsy horse steps on the box of eggs and breaks a lot of them. The horse’s rider offers to pay for all of the eggs in the box and asks the farmer how many eggs there were. The farmer does not remember the exact number, but when she took them out of the box two at a time, there was 1 egg left. The same thing happened when she took them out three, four, five and six eggs at a time, but when she took them out 7 at a time, there were no eggs left
Answers
The smallest number of eggs that could have been in the box is 1134
The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:
Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:
n ≡ 1 (mod 2)
n ≡ 1 (mod 3)
n ≡ 1 (mod 4)
n ≡ 1 (mod 5)
n ≡ 1 (mod 6)
n ≡ 0 (mod 7)
For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.
Plugging these values into the formula and simplifying modulo 5040, we get:
n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040
n = (−8946) mod 5040
n = (−3906) mod 5040
n = 1134 mod 5040
Therefore, the smallest number of eggs that could have been in the box is 1134
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An education counselor records the number of high school graduates enrolled in community colleges, 4-year colleges, and universities. What scale of measurement is the type of college
Answers
The scale of measurement used for the type of college, i.e., community colleges, 4-year colleges, and universities, is a nominal scale.
A nominal scale is used for variables that can be classified into distinct categories, but there is no inherent order or numerical value associated with them. In this case, the three types of colleges are discrete categories, and there is no inherent order or numerical value assigned to them.
For instance, a student enrolled in a community college cannot be said to be superior or inferior to a student enrolled in a university; they are merely enrolled in different types of colleges. It is worth noting that a nominal scale is the weakest form of measurement because it does not provide any quantitative information about the variable being measured. Nonetheless, it is still useful in situations where the variable being measured is qualitative in nature and cannot be numerically quantified. In this case, the education counselor can use the nominal scale to analyze and compare the enrollment trends in different types of colleges among high school graduates.Thus, the scale of measurement used for the type of college, i.e., community colleges, 4-year colleges, and universities, is a nominal scale.Know more about the nominal scale.
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Which are the roots of the quadratic function f(b) = b2 - 75? Select two options
Answers
Answer: Option A, & B
(A) b = 5 StartRoot 3 EndRoot b= 5\(\sqrt{} 3\)
(B) b = Negative 5 StartRoot 5 Endroot b= -5\(\sqrt{} 3\)
Step-by-step explanation:
A computer costing £500 is bought and paid for in twelve monthly instalments with an interest rate of 20% added onto the purchase price. How much is each monthly installment?
Answers
can someone please help
Answers
Answer:
3/5
decimal from: 1.5
Step-by-step explanation:
plsss help I know I’m asking a lot of questions
Answers
Answer:
2,4,6,8,10,12,14,16,18,20,22,24,26,28 for 2 3,6,9,12,15,18,21,24,27 for 3
Step-by-step explanation:
for both 6,12,18,24
Which graph shows the solution to the system of linear inequalities? Y<2x-5 y>-3+1
Helppppp
Answers
Answer:
Is the second expression written correctly? It reduces to y>-2, since no x is in the equation.
Step-by-step explanation:
We can graph the two equations. See attached image. If y>2 is the correct expression, all points to the right.
If the equation was meant to read y=-3x+1, then graph the revised expression.
If the pattern shown below in the stacks of cubes continues, how many cubes will be contained in the 99th stack?
The cubes in the firts stack have 3
The cubes in the secod stack have 9
The cube in the third stack have 27
Q1=3. r=. 3
Answers
Using the formula for the nth term of a geometric sequence:
an = a1 * r^(n-1)
where:
an = the nth term of the sequence
a1 = the first term of the sequence
r = the common ratio of the sequence
n = the number of terms in the sequence
For the 99th stack, we have:
a1 = 3 (the number of cubes in the first stack)
r = 3 (the common ratio)
n = 99
Using the formula, we get:
a99 = 3 * 3^(99-1)
a99 = 3 * 3^98
a99 = 3 * 7,346,534,929,771,840,000
a99 = 22,039,604,789,315,520,000
Therefore, the 99th stack will contain approximately 22,039,604,789,315,520,000 cubes.
Determine whether each of the following is a pair of like radicals. If so, add them.
(b) 2 √3xy and 7 √3xy
Answers
The expressions 2\(\sqrt{3xy}\) and 7\(\sqrt{3xy}\) are a pair of like radicals because they have the same radicand, which is \(\sqrt{3xy}\). However, we cannot directly add them together because the coefficients are different.
To determine whether the expressions 2\(\sqrt{3xy}\) and 7\(\sqrt{3xy}\) are a pair of like radicals, we compare their radicands, which are both \(\sqrt{3xy}\). Since the radicands are the same, we can conclude that they are a pair of like radicals.
However, to add these expressions, we need to have the same coefficient (the number outside the radical) for both terms. In this case, the coefficients are different: 2 and 7. Therefore, we cannot directly add the two expressions together.
If we had the same coefficient for both terms, such as 2\(\sqrt{3xy}\) and 2\(\sqrt{3xy}\), we could add them together by adding the coefficients and keeping the radicand the same. But since the coefficients are different in this case, we cannot add 2\(\sqrt{3xy}\) and 7\(\sqrt{3xy}\).
In summary, expressions 2\(\sqrt{3xy}\) and 7\(\sqrt{3xy}\) have the same radicand and are a pair of like radicals. However, we cannot add them together because their coefficients are different.
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The graph represents the system of inequalities shown below. Determine whether the statement that follows the
graph is true or false.
y greater than or equal to 6
5x+3y ≤ 15
f(x,y) - 12x+3y
Answers
Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.
What are the rules for writing an inequality?In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:
The line on a graph is a solid line when the inequality symbol is (≥ or ≤).The inequality symbol is greater than or equal to (≥) when a solid line is shaded above.The inequality symbol is less than or equal to (≤) when a solid line is shaded below.In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:
Assuming the ordered pair (1, 2), we have:
y ≥ 6
2 ≥ 6 (False).
5x+3y ≤ 15
5(1) +3(2) ≤ 15
5 + 6 ≤ 15
11 ≤ 15 (True).
Therefore, it is not a feasible solution.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
PLEASE HELP FAST BRAINEIST
The sum of two numbers is 35 and the difference is 7. What are the numbers? Larger number: Smaller number:
Answers
Larger number: 21
x + (x + 7) = 35
2x + 7 = 35
2x = 28
x = 14
14+7
21
larger number :21
smaller number:14
When we are concerned with whether we are correct in inferring that a cause produced an effect, we are concerned with the:
Answers
The concept here is the Research method, it is the main extent to which a concept, conclusion, or measurement is well-founded The answer is validity.
Research methods are strategies, processes, or ways used to collect data or substantiation for analysis to uncover new information or better understand the content.
Validity is the lesser degree to which an idea, conclusion, or action is reasonable and likely to directly reflect reality. The word" valid" comes from the Latin Validus, which means strong.
The validity of a dimension instrument is the extent to which the instrument measures what it's intended to measure. Validity refers to the relationship between the study thing and the data the experimenter chooses to use to quantify that thing. Some confines similar to physical strength, aren't naturally related to intelligence.
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4.3 Given a circle with radius 4 cm, calculate (Use n = 3,14)
The circumference, rounding off to two decimal places.
Answers
Answer:
25
as
2nr
=2×3.14×4
=25.12
=25
When beth was 9 years old, paul was 3 times younger than her. Now beth is 30 years old, how old is paul?.
Answers
Step-by-step explanation:
9÷3=3 so when beth is 30 you need to do 30-6 which is 24
When beth was 9, paul was 3 times younger = 9/3 = 3 years old.
Beth has gained 21 years since, so the age of paul is 3 + 21 = 24 years old.
a bathtub contains 45 gallons of water and the total weight of the tub and water is approximately 697.275 pounds. you pull the plug and the water begins to drain. let v represent the number of gallons of water that has drained from the tub since the plug was pulled. note that water weights 8.345 pounds per gallon. write an expression in terms of v that represents the weight of the water that has drained from the tub (in
Answers
The expression which represents the weight of the water that has drained from the tub in terms of the number of gallons (v) drained is 8.345v.
The weight of the water that has drained from the tub can be calculated using the weight of water per gallon and the number of gallons drained. The weight of water per gallon is 8.345 pounds per gallon.
So, the expression that represents the weight of the water drained in terms of v (the number of gallons drained) is:
Weight of drained water = Weight per gallon × Number of gallons drained
Substituting the given weight per gallon (8.345 pounds) and the variable v for the number of gallons drained, the expression becomes:
Weight of drained water =8.345v
Hence, 8.345v expression represents the weight of the water that has drained from the tub in terms of the number of gallons (v) drained.
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The weight of the water that has drained from the tub can be represented by the equation v*8.345, where v represents the number of gallons of water drained.
Explanation:The subject of the question is about writing an algebraic expression to describe a real world scenario. Since we know that 1 gallon of water weighs 8.345 pounds, and 'v' represents how many gallons have drained from the tub, we multiply 'v' by 8.345. Therefore, the weight of the water that has drained from the tub is v*8.345.
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can someone explain to me what probability is
Answers
Answer:
Probability is the probability of an occurrence taking place or the number of favorable events divided by the number of potential outcomes.
Step-by-step explanation:
Answer:
Probability is the likelihood of something happening.
Step-by-step explanation:
It is more probable of something reasonable happening, as opposed to something non-reasonable.
mathew lucy and finley sold a total of 56 games at a car boot sale the ratio of games that they each sold is 2:5:1 how many more games did lucy sell than finley
Answers
The number of more games that Lucy sells than Finley will be 28 games.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Mathew, Lucy, and Finley sold a total of 56 games at a car boot sale. The ratio of games that they each sold is 2:5:1.
Let 'x' be the common factor. Then the equation is given as,
2x + 5x + 1x = 56
8x = 56
x = 7
Then the number of more games that Lucy sells than Finley will be given as,
⇒ 5 × 7 - 1 × 7
⇒ 35 - 7
⇒ 28
The number of more games that Lucy sells than Finley will be 28 games.
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What is the midpoint of a segment in the complex plane with endpoints at 6 â€"" 2i and â€""4 6i? 1 2i 2 i 2 4i 5 4i
Answers
The midpoint of a segment in the complex plane with endpoints at 6 - 2i and -4 + 6i is 1 + 2i.
To find the midpoint of a segment in the complex plane, we average the coordinates of the endpoints. The first endpoint is 6 - 2i, and the second endpoint is -4 + 6i.
Adding the real parts and the imaginary parts separately, we get (6 + (-4))/2 = 1 for the real part and ((-2) + 6)/2 = 2 for the imaginary part.
Therefore, the midpoint is given by 1 + 2i. This means that the midpoint of the segment lies on the complex plane at the coordinates (1, 2).
It represents the point equidistant from both endpoints, dividing the segment into two equal parts.
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PLEASE HELP ME I REALLH NEED IT
Answers
Answer is B : 55.76 ft
Explanation:
Height = base * tan ( theta)
Hometown Gym charges a $200 membership fee and $45 per month. Local Gym charges a $50 membership fee and $55 per month. Write an equation to represent the situation. *
Answers
Answer:
=> membership fee = $50
=> monthly fee = $55
=> First month = 105$
=> 50 + 55(x)
=> 50 + 55 (15)
=> 50 + 825
=> 875
Workout gym
=> membership fee = $200
=> monthly fee = $45
=> First month = 245$
=> 200 + 45(x)
=> 200 + 45(15)
=> 200 + 675
=> 875
Step-by-step explanation:
2. A computer programmer earns a regular hourly rate of P50. 0. If he
worked 42. 75 hours in a week, how much did he earn?
pls answer this with solution a really need the solution
Answers
Answer:
b
Step-by-step explanation:
42.75+4=6
What is the НСF of
4725
5850
Answers
Answer:
433345344 Answer
Step-by-step explanation:
while the linear regression model is important for descriptive purposes, its predictive value is limited. true or false
Answers
True. The linear regression model is commonly used for descriptive purposes, such as identifying and quantifying relationships between variables.
True. While a linear regression model can be valuable for descriptive purposes, such as understanding relationships between variables, its predictive value can be limited. This is because linear regression models make assumptions about the linearity of the relationship between variables and may not capture more complex patterns in the data. Additionally, factors like outliers, multicollinearity, and overfitting can negatively impact the model's predictive accuracy. Therefore, it is important to consider these limitations when using a linear regression model for prediction purposes. However, its predictive value is limited as it assumes a linear relationship between variables and does not account for complex interactions or non-linearities in the data. Other predictive models, such as machine learning algorithms, may be more effective in predicting outcomes.
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Which of the following choices correctly names <1 and <8?
alternate interior angles corresponding angles
alternate exterior angles
vertical angles
Answers
Answer:B
Step-by-step explanation:
Opening Exercise
Use mental math to solve the following:
Number String
100% of 180 =
25% of 180 =
-75% of 180 =
37.5% of 180 =
Answers
Answer:
100% of 180 = 180
25% of 180 = 45
-75% of 180 = -135
37.5% of 180 = 67.5
Step-by-step explanation:
I looked them up on an app so I hope its right!