Consider the following analogy: You are a hiring manager for a large company. For every job applicant, you must decide whether to hire the applicant based on your assessment of whether he or she will be an asset to the company. Suppose your null hypothesis is that the applicant will not be an asset to the company. As in hypothesis testing, there are four possible outcomes of your decision: (1) You do not hire the applicant when the applicant will not be an asset to the company, (2) you hire the applicant when the applicant will not be an asset to the company, (3) you do not hire the applicant when the applicant will be an asset to the company, and (4) you hire the applicant when the applicant will be an asset to the company. 1. Which of the following outcomes corresponds to a Type I error?
A. You hire the applicant when the applicant will not be an asset to the company.
B. You do not hire the applicant when the applicant will be an asset to the company.
C. You do not hire the applicant when the applicant will not be an asset to the company.
D. You hire the applicant when the applicant will be an asset to the company.
2. Which of the following outcomes corresponds to a Type II error?
A. You hire the applicant when the applicant will not be an asset to the company.
B. You hire the applicant when the applicant will be an asset to the company.
C. You do not hire the applicant when the applicant will be an asset to the company.
D. You do not hire the applicant when the applicant will not be an asset to the company.
As a hiring manager, the worst error you can make is to hire the applicant when the applicant will not be an asset to the company. The probability that you make this error, in our hypothesis testing analogy, is described by:________.
Answers
Answer:
1. A. You hire the applicant when the applicant will not be an asset to the company.
2. C. You do not hire the applicant when the applicant will be an asset to the company.
Step-by-step explanation:
1. The type I error happens when the null hypothesis is rejected when it is true, in this way we know that the null hypothesis is that the new employee will not be active for the company, so option B is rejected, because it refers that the Applicant if he will be active or for the company, option C is rejected because the inactive employee is rejected, accepting the null hypothesis, option D is rejected because the contracted applicant if active, so the correct answer is A, in which the inactive applicant is hired.
2.
we know that the type II error occurs when the null hypothesis is accepted, being this false, we know that the null hypothesis is to hire an inactive applicant for the company, so option A is not correct, in which the null hypothesis is accepted taking it as true, option B is rejected, in which the contract is made to an active applicant, so the null hypothesis is false and option D is rejected, in which the null hypothesis is rejected, therefore the correct answer It is the C in which the active applicant is not hired.
Answer:
1. Option A
2. Option C
Step-by-step explanation:
The null hypothesis is that the applicant will not be an asset to the company, thus you do not hire such applicant
The alternative hypothesis is that the applicant will be an asset to the company and you then hire such applicant.
A type I error occurs when the researcher rejects the null hypothesis when true.
A type II error occurs when the researcher fails to reject the null hypothesis when it is not true.
1. Type I error:
You hire the applicant when the applicant will not be an asset to the company
2. Type II error:
You do not hire the applicant when the applicant will be an asset to the company.
3. Type I error because you rejected the null hypothesis to not hire when the applicant will not be an asset to the company.
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- A. B. C. D.
The product of -12 and a number
- A. B. C. D.
The quotient of -12 and a number
- A. B. C. D.
Twice the sum of -12 and a number
- A. B. C. D.
The sum of -12 and twice a number
A.
2 open parentheses negative 12 plus x close parentheses
B.
fraction numerator negative 12 over denominator x end fraction
C.
negative 12 plus 2 x
D.
negative 12 x
Answers
Answer:
See explanation below
Step-by-step explanation:
We are going to transform the given phrase to an equivalent algebraic expression, let's x be a number:
a) The product of -12 and a number (we have to multiply)
(-12)x = -12x
b) The quotient of -12 and a number (quotient means division)
c) Twice the sum of -12 and a number (we're going to sum up -12 and a number and then multiply by 2)
2(-12 + x)
d) The sum of -12 and twice a number (we're going to sum up -12 and the double of the number)
-12 + 2x
Answer: Since 3 hours equals 6 half-hours, the culture will have doubled 6 times.
Therefore, there will be
500 · 2
6 = 32,000
bacteria.
(b) How many bacteria are there after t hours?
Answer: Since t hours is the same as 2t half-hours, the culture will have doubled 2t
times. Therefore, there will be
500 · 2
2t
bacteria.
(c) How many bacteria are there after 40 minutes?
Answer: There are two possible answers depending on how you interpret the set-up
to the problem. If each bacterium in the culture doubles once every half-hour on the
half-hour, then each one will double after exactly 30 minutes, and then not again until
60 minutes have passed. In that case, there will be
500 · 2 = 1000
4
bacteria after 40 minutes.
On the other hand, if each bacterium doubles exactly once per half-hour, but at some
random time within that half-hour, then it makes sense to think of the population
function P(t) = 500 · 2
2t as continuous. In that case, since 40 minutes is
40
60
=
2
3
of an hour, the population will be
500 · 2
2
2
3 = 500 · 2
4
3 ≈ 1259
after 40 minutes.
Answers
Answer:
a). 32000
b).
c). 1259
Step-by-step explanation:
Growth of a bacteria is always exponential. Therefore, population of the bacteria is represented by the the geometric sequence.
Sum of the bacterial population after t hours will be represented by
Where a = population at the start
r = ratio with the population is growing
n = time or duration of the growth in one hour
a). Population of 500 bacteria gets doubled after half an hour.
Or gets 4 times after an hour
This sequence will have a common ratio r = 4
and initial population a = 500
Therefore, population of the bacteria after 3 hours will be
b). After t hours number of bacteria will be represented by
c). We have to calculate the population after 40 minutes.
That means duration 't' = 40 minutes of hours
By the formula,
≈ 1259
Therefore, number of bacteria after 40 minutes will be 1259.
After 3 hours, there will be 32,000 bacteria in the culture, given that the bacteria double in size every half-hour. The number of bacteria at any given time depends on whether they double precisely every half-hour or continuously within that timeframe.
In this scenario, the population growth of the bacterial culture follows exponential growth, where it doubles every half-hour. To calculate the number of bacteria after 3 hours (equivalent to 6 half-hours), you can use the formula for exponential growth: P(t) = P₀ * , where P(t) is the population at time t, P₀ is the initial population, t is the time in hours, and h is the time interval for doubling (in this case, 0.5 hours). Plugging in the values, you get P(3) = 500 *
= 32,000 bacteria.
This means that after 3 hours, there will be 32,000 bacteria in the culture. The explanation also addresses the alternate interpretation of continuous growth, where the population increases continuously within each half-hour, resulting in approximately 1259 bacteria after 40 minutes.
Learn more about time here: brainly.com/question/34222581
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Answers
Answer: x=3y−9
Step-by-step explanation:Let's solve for x.
−x+3y=9
Step 1: Add -3y to both sides.
−x+3y+−3y=9+−3y
−x=−3y+9
Step 2: Divide both sides by -1.
−x/−1 = −3y+9/−1
x=3y−9
Answers
Answer:
16
Step-by-step explanation:
(x-8)^2 + (y-4)^2= 16
Answers
Please find full question attached Answer:
Barbara is not more well off as the typical individual has a higher well being score
Explanation:
please find explanation attached
Final answer:
Barbara's well-being in relation to her commute is dependent on how the survey scoring is interpreted. Based on assumptions, given her 20-minute commute and a survey score of 67.4, she could potentially be considered more 'well-off' than the typical 20-mile individual commuter.
Explanation:
From the information given in the question, it is not clear how the score of 67.4 on the survey relates to Barbara's 'well-being' regarding her commute. However, if we were to make an educated guess, we could say it depends on how the survey scores are distributed. A high survey score could mean that Barbara is more satisfied with her commute, and thus more 'well-off', compared to the typical individual who has a 20 mile commute.
Referring to the information given, 95 percent of individuals have a commute of under 26 minutes, so Barbara's 20-minute commute is well within this range. If the score of 67.4 is considered high (this would depend on the scale or range of scoring used in the survey), then we could potentially consider Barbara to be more 'well-off' than the average individual.
However, please note that this conclusion is based on assumptions, and additional information such as the survey scoring scale and methodology would be needed to provide a more accurate assessment.
Learn more about statistical interpretation here:
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Answers
Answer:
5x+2y=4
Step-by-step explanation: