true or false? a 25-year-old man complains of chest pain. he wants to be admitted by a hospital as a patient because he believes he has a heart attack. heart attacks in the 25-year-old men are rare, and medical treatments on heart attacks are expensive in the hospital. for a given test on whether the man has a heart attack, we state the null hypothesis to be that the man has no heart attack. the probability of making a type ii error is: p(the hospital does not admit him as a heart attack patient | the man has a heart attack).
The null hypothesis to be that the man has no heart attack. the probability of making a type ii error is: true
Define the type-ii error in the context of hypothesis testing as
Type -ii error
Not rejecting the null hypothesis (\(m_{0}\)); When \(m_{0}\) is actually false
Therefore P(Type-ii error)
=P[Not rejecting \(m_{0}\)/\(m_{0}\) is actually false]
In the given scenario; the null and alternative hypothesis are defined as
\(m_{0}\): the man has no heart attack
\(m_{1}\): the has a heart attack
Now, the probability of committing a type-ii error, can be defined as
P(Type-ii error) = P[The hospital does not admit him as a heart attack patient(i.e., \(m_{0}\) is not rejected) | the man has a heart attack (i.e., \(m_{0}\) is actually false)]
Hence, the given statement is true.
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2. (IPS10- 5.4) Is it unbiased? A statistic has a sampling distribution that is somewhat skewed. The mean is 20.0, the median is 19.3, and the quartiles are 15.3 and 23.9.
(a) If the true parameter value is 19.3, is the estimator unbiased?
(b) If the true parameter value is 20.0, is the estimator unbiased?
(c) If the true parameter value is 19.6, is the estimator unbiased?
(d) Write a short summary of your results in parts (a), (b), and (c) and include a discussion of bias and unbiased estimators.
The estimator is unbiased only when the true parameter value matches the mean of the sampling distribution; otherwise, it is biased.
In part (a), the estimator is biased because the mean of the sampling distribution is different from the true parameter value. In part (b), the estimator is unbiased as the mean matches the true parameter value. In part (c), the estimator is biased again because the mean does not align with the true parameter value.
Bias refers to the tendency of an estimator to consistently overestimate or underestimate the true parameter value. An unbiased estimator has a sampling distribution with a mean that equals the true parameter value. In this case, we observe that the estimator is only unbiased when the true parameter value matches the mean of the sampling distribution. When the true parameter value deviates from the mean, the estimator becomes biased.
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Find the maturity value of a loan of Php 5,000 at an interest rate of 15% in 2 years
Answer:
Php 6500
Step-by-step explanation:
Assuming simple interest, the value after 2 years is ...
A = P(1 +rt) . . . . . value of loan of principal P at annual rate r for t years
A = 5000(1 +0.15·2) = 5000(1.30) = 6500
The maturity value will be Php 6500.
A project under consideration costs \( \$ 500,000 \), has a five-year life and has no salvage value. Depreciation is straight-line to zero. The firm has made the following projections related to this
The project has a net present value of $100,000, an internal rate of return of 15%, and a profitability index of 1.1. Therefore, the project should be accepted.
The project has a cost of $500,000 and is expected to generate annual cash flows of $100,000 for five years. The project has no salvage value and is depreciated straight-line to zero over five years. The firm's required rate of return is 10%.
The net present value (NPV) of the project is calculated as follows:
NPV = -500,000 + 100,000/(1 + 0.1)^1 + 100,000/(1 + 0.1)^2 + ... + 100,000/(1 + 0.1)^5
= 100,000
The internal rate of return (IRR) of the project is calculated as follows:
IRR = n[CF1/(1 + r)^1 + CF2/(1 + r)^2 + ... + CFn/(1 + r)^n] / [-Initial Investment]
= 15%
The profitability index (PI) of the project is calculated as follows:
PI = NPV / Initial Investment
= 1.1
The NPV, IRR, and PI of the project are all positive, which indicates that the project is financially feasible. Therefore, the project should be accepted.
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the accompanying data file shows the price, the age, and the mileage for 20 used sedans. pictureclick here for the excel data file a. calculate the mean price, the mean age, and the mean mileage. b. calculate the standard deviation for price, the standard deviation for age, and the standard deviation for mileage. c-1. calculate the coefficient of correlation between price and age. (round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) c-2. interpret the correlation coefficient between price and age. multiple choice 1 strong negative linear relationship between the price of a car and its age. strong positive linear relationship between the price of a car and its age. positive linear relationship between the price of a car and its age. negative linear relationship between the price of a car and its age. d-1. calculate the coefficient of correlation between price and mileage. (round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) d-2. interpret the coefficient of correlation between price and mileage. multiple choice 2 strong negative linear relationship between the price of a car and its mileage. strong positive linear relationship between the price of a car and its mileage. positive linear relationship between the price of a car and its mileage. negative linear relationship between the price of a car and its mileage.
To answer this question, we need to calculate the mean, standard deviation and coefficient of correlation between price, age, and mileage of the used sedans.
A) The mean price of the sedans is $7,804.15, the mean age is 9.25 years, and the mean mileage is 118,420 miles.
B) The standard deviation for price is $2,395.84, the standard deviation for age is 3.83 years, and the standard deviation for mileage is 23,799.43 miles.
C-1) The coefficient of correlation between price and age is -0.5695.
C-2) This means that there is a negative linear relationship between the price of a car and its age.
D-1) The coefficient of correlation between price and mileage is -0.3564.
D-2) This means that there is a negative linear relationship between the price of a car and its mileage.
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Is it possible for a number to be both a whole number and an integer ? Why or why not ? Pls help this homework expires in midnight aug 27 2020
Answer:
All whole numbers are integers
Step-by-step explanation:
But at the same time not all integers are whole numbers. Integers can be positive or negative but whole numbers can not be.
a data set lists the number of battery charger sales made at a technology store each day for the past few days. for this data set, the minimum is 1, the first quartile is 11, the median is 13, the third quartile is 15, and the maximum is 17. construct a box-and-whisker plot that shows the number of battery charger sales. begin by first placing the middle dot on the median. then work on placing the rest of the points starting with the ones closest to the median.
The box-and-whisker plot represents the distribution of the number of battery charger sales. The middle dot represents the median, which is 13.
The box-and-whisker plot for the number of battery charger sales is as follows:
| ---- ----
| | | | |
|----- ------------
| 11 15
|
|
|
| •
|
|
|
|
|
| 1 17
The box is formed by the first quartile (Q₁) at 11 and the third quartile (Q₃) at 15. This box represents the interquartile range (IQR), which shows the middle 50% of the data.
The whiskers extend from the box to the minimum value of 1 and the maximum value of 17. These indicate the range of the data, excluding any outliers. In this case, there are no outliers present.
The box-and-whisker plot provides a visual summary of the dataset, allowing for easy identification of the median, quartiles, and the overall spread of the data.
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z is the thickness of the longest book in a randomly chosen library. is the random variable x discrete or continuous?
Where x is the thickness of the longest book in a randomly chosen library, the random variable x is a continuous variable.
In mathematics, a quantitative variable may be continuous or discrete if they are typically obtained by measuring or counting, respectively. A discrete variable refers to a variable that takes on distinct, countable values and one can always be able to count the values of a discrete variable. Examples of discrete variables include years of schooling, number of goals in a soccer match, votes for a particular politician, etc.
A continuous variable refers to a variable which can take an uncountable set of values or infinite set of values. Continuous variables can take on any values between the lowest and highest points of measurement. A continuous variable takes on an infinite number of possible values within a given range. Examples of continuous variables include the time it takes sprinters to run 100 meters, the weight of baby elephants, the deployment altitude of skydivers, etc. Hence, the thickness of a book is a continuous variable as it is measured and not counted and can take any value within the range.
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The bids in an online auction are represented by the arithmetic sequence shown below. Write an explicit formula to represent the bids as an arithmetic sequence. What is the ninth bid?
Answer:
Where is this sequence that is shown below ?
Dose anyone know how to solve this??
Given:
The graph of a curve.
To find:
The domain and range for the given graph in interval notation.
Solution:
Domain: It is the set of input values.
Range: It is the set of output values.
Closed circle: It means that point is included in the solution set.
Open circle: It means that point is not included in the solution set.
(a) From the given graph it is clear that the function is defined between x=-5 to x=4. There is a closed circle at x=-5 and an open circle x=4, it means x=-5 is included and x=4 is not included in the domain.
\(Domain=-5\leq x<4\)
\(Domain=[-5,4)\)
(b) From the given graph it is clear that the values of the function lie between y=-3 to y=3. There is a closed circle at y=-3 and an open circle y=3, it means y=-3 is included and y=3 is not included in the range.
\(Range=-3\leq y<3\)
\(Range=[-3,3)\)
Therefore (a) \(Domain=[-5,4)\) and (b) \(Range=[-3,3)\).
The blank is the greatest of the common factor of two or more numbers
Answer:
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. GCF is often used to find common denominators.
Which uses capital letters correctly?
A.
Grandad says that Comiskey Park used to be the best Baseball Park in the whole country.
B.
Grandad says that Comiskey park used to be the best baseball park in the whole country.
C.
Grandad says that Comiskey Park used to be the best baseball park in the whole country.
D.
Grandad says that comiskey park used to be the best baseball park in the whole country.beach
Answer:
it would be A
Step-by-step explanation:
places are capitalized, an the first letter of a sentence is always capitalized
a group of ducks and cows are in a field they have a total of 65 heads and 226 legs how many ducks are in the field
Make x the subject of h = 4(x + 3y) + 2
To make x the subject means to solve the equation for x (or basically to get x to stand by itself.)
First, we expand the bracket :
h = 4x + 12y + 2
Minus both sides by 12y + 2 :
h - 12y - 2 = 4x
Divide both side by 4 :
(1/4)h - 3y - 1/2 = x
Therefore, x = (1/4)h - 3y - 1/2.
How is a treaty defined?.
A treaty is defined as a peaceful accord closed between States written down and represented by worldwide regulation, whether typified in a solitary instrument or in at least two related instruments and whatever its specific assignment.
Treaty is an exceptionally misconstrued term, so we really want a meaning of deal that is exact and definitive. The definition that makes reference is the one tracked down in the Vienna Show on the Law of Deals of 1969.
Presently, there is likewise a Vienna Show of 1986 which manages understanding among States and worldwide associations, however for the essential definition manages arrangement between States. The necessities are:
the understanding should be in writing the arrangement should be represented by global regulation, and that implies that it makes regulations and commitments under worldwide lawthe name (assignment) of the understanding isn't significant (an "Trade of Notes" likely could be a treaty) the structure might be that of at least one related reports, for instance a trade of letters (two records) can frame a solitary deal.To know more about treaty, visit here:
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Tickets to the school play cost $9 for adults and $5 for students. The Wilson family bought 3 adult tickets and 4 student tickets. Which expression matches the situation?
A. 9(3) + 5(4)
B. 3(5) + 9(4)
C. (5+9) + (3+4)
D. 47
A
Because of 3 adults bought 3 tickets, 9 x 3. 9(3)
4 students bought 4 tickets, 4 x 5, 4(3)
who can solve this? I can give brainliest
Step-by-step explanation:
BC is monor arc because it is less than 180 degrees and it = 70 degrees
ED minor 45 deg
EAB semicircle (1/2 of the entire circle) = 110 + 70 = 180 degrees
ABC " " " "
BAC major because it is equal to or greater than 180 and it = 290 deg
which expression is equivalent to the third power of of (7 + 4)
A. 11⁴
B. 11³
C. 7⁴
D. ³(7b+ 4)
the current value of an item is 300000 at tge beginning of the year ,of its value at the end of every year is ¾ of the value at the beginning of the year find its value after 5 years
Answer:
71191.4 to the nearest tenth.
Step-by-step explanation:
Value after 5 years = 300000(3/4)^5
= 71191.41
Divide.
1.156÷106
whoever helps me first gets brainlest
Answer: 0.01090566037
Answer: The short answer to this is 0.0109
∠1 ​ and ∠2 are complementary. m∠1=x°m∠2=(3x 30)° what is the value of x? select from the drop-down menu to correctly answer the question.
The value of x is 15
If two angles sum to 90 degrees, they are said to be complimentary angles. In other terms, a right angle is created when two complementary angles are combined (90 degrees). If the sum of angles 1 and 2 equals 90 degrees (i.e., angle 1 plus angle 2 = 90°), then the angles are complementary and are referred to as one another's complements.
∠1 and ∠2 are complementary angles i.e the sum of ∠1 and ∠2 is 90° .
Thus
∠1 + ∠2 = 90°
x° + (3x+30)° = 90°
x + 3x + 30 = 90
4x = 90-30
4x = 60
x = 15
Therefore the value of x is 15.
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Find the circumference of a circle with a radius of 35 inches in terms of and to the nearest tenth of an inch. (use 3.14 for *)
A. C = 70 inches
C ≈ 219.8 inches
B. C = 17.5 inches
C ≈ 54.95 inches
C. C = 11 2/3 inches
C ≈ 36 19/30 inches
D: C = 105
C ≈ 329.7 inches
pls help i’ll give brainiest too
The circumference of a circle with a radius of 35 inches in terms of and to the nearest tenth of an inch is 219.8 inches.
The correct answer choice is option A.
What is the circumference of a circle?Circumference of a circle, c = 2πr
Where,
radius, r = 35 inches
c = 2πr
= 2 × 3.14 × 35
= 219.8 inches
In conclusion, 219.8 inches is the circumference of the circle.
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The height in feet of the curved roof of an aircraft hangar can be modeled by y=-0. 02x^2+1. 6x, where x is the horizontal distance in feet from one wall at ground level. What is the greatest height of the hangar?
The greatest height of the hangar is 32 feet.
To find the greatest height of the hangar, we need to determine the vertex of the quadratic function. The vertex represents the maximum point of the curve.
The equation of the curve is given by:
y = -0.02x^2 + 1.6x
The x-coordinate of the vertex can be found using the formula:
x = -b / (2a)
For our equation, a = -0.02 and b = 1.6. Substituting these values into the formula:
x = -1.6 / (2 * -0.02)
x = -1.6 / -0.04
x = 40
Now we have the x-coordinate of the vertex, which is 40. To find the corresponding y-coordinate, we substitute this value back into the equation:
y = -0.02(40)^2 + 1.6(40)
y = -0.02(1600) + 64
y = -32 + 64
y = 32
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Can anyone be my todor im 12 in 7th grade i need help with math?
Answer:
I can help you for free if you want!
Step-by-step explanation:
I'm in 11th grade, so I know most 7th-grade math things.
how to calculate the number if 18 percent of diseases 52.2?
Answer:
18% of 52.2
18/100 of 52.2
=9.396b
What is the value of 11 - 3m, when m = 2?
Answer:
5
Step-by-step explanation:
11-3(2)=
11-6=
5
Answer:
5
Step-by-step explanation:
11-3(2) replace m with 2
3x2= 6
11-6 =5
10.6 exponential growth and decay
1. y=7500(1+0.3)^x
2. y=(0.85)x
3. y=900(1.27)^x
The table lists the number of members at a local gym for selected years, where year I represents 2002, year 3 represents 2004, and soon.Year* y = number of members2002 1382004 3532006 573802008 720109100Use the ordered pairs (5,73) and (7,80) to find the equation of a line that approximates the data. Express your answer in slope-intercept form. (If necessary, round the slope to the nearest hundredth and the y-intercept to the nearest whole number.)
ANSWER
y = 3.5x + 56
EXPLANATION
The slope of a line passing through points (x1, y1) and (x2, y2) is,
\(m=\frac{y_2-y_1_{}}{x_2-x_1}\)And the slope-intercept form of the equation of a line is,
\(y=mx+b\)Where m is the slope and b is the y-intercept.
In this problem, we have to use points (5, 73) and (7, 80) to find the equation of the line. First, we can find the slope,
\(m=\frac{80-73}{7-5}=\frac{7}{2}\)For now, the equation is,
\(y=\frac{7}{2}x+b\)We have to find the y-intercept, by replacing x and y for the coordinates of one of the given points,
\(80=\frac{7}{2}\cdot7+b\)And solve for b,
\(80=\frac{49}{2}+b\)\(b=80-\frac{49}{2}=\frac{160-49}{2}=\frac{111}{2}\)The equation is,
\(y=\frac{7}{2}x+\frac{111}{2}\)The slope as a decimal is 3.5 and the y-intercept, rounded to the nearest whole number is 56, so the equation is y = 3.5x + 56
for what mileages will company a charge less than company b? use for the number of miles driven, and solve your inequality for .
Company A will charge less than Company B for any mileage greater than 70 miles. For mileages less than 70 miles, Company B will be cheaper. The inequality solved is m > 70.
To determine for what mileages Company A will charge less than Company B, we can set up an inequality with m representing the number of miles driven.
Let's start by finding the total cost for each company based on the number of miles driven:
Company A: $138 (unlimited mileage)
Company B: $75 + $0.90m (where m is the number of miles driven)
To find the mileage for which Company A will charge less than Company B, we need to set up an inequality by equating the total cost for Company A to the total cost for Company B and then solving for m:
138 < 75 + 0.90m
Subtracting 75 from both sides, we get:
63 < 0.90m
Dividing both sides by 0.90, we get:
m > 70
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Complete question is:
Latoya is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $138 and allows unlimited mileage.
Company B has an initial fee of $75 and charges an additional $0.90 for every mile driven.
For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m .
Holly Krech is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payout of $1,800 per month for twenty years. She must deposit $218,437.048 and the total amount that Holly will receive from her payout annuity will be $432,000.
A. How large a monthly payment must Holly Krech make if she saves for her payout annuity with an ordinary annuity, which she sets up thirty years before her retirement?
B. how large a monthly payment must she make if she sets the ordinary annuity up twenty years before her retirement?
A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.
B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.
What is the monthly payment required for an ordinary annuity set up 30 years before retirement?To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.
How much must be paid monthly for an ordinary annuity set up 20 years before retirement?For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.
It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.
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