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kipiarov [429]
2 years ago
14

In a sample of 16 employees randomly selected at a company, the average age is 25 years and the standard deviation is 2 years. W

e want to test if the average age of all employees is greater than 24. If ages are normally distributed in the population, using a significance level of 0.05, we can claim that the population mean is: Group of answer choices
Mathematics
1 answer:
pentagon [3]2 years ago
8 0

If ages are normally distributed then using a significance level of 0.05 , we can claim that the population mean is greater than 24.

Given sample mean of 25 years , sample size of 16 ,standard deviation of 2 years.

We have to find whether the population average is greater than 24.

We have to use t test because n is less than 30. It is right tailed.

We have to first form Hypothesis.

H_{0}:μ>24,

H_{1}:μ<24.

t=X-μ/S/\sqrt{n}

t critical at 5% significance level and degree of freedom=15    (16-1)=1.7531

t=24-25/2/\sqrt{16}

=-1/0.5

=-2

Because 1.7531 is greater than -2 so we will accept the null hypothesis.

Hence we can say that the average of population is greater than 24.

Learn more about t test at brainly.com/question/6589776

#SPJ4

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Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f
Harrizon [31]

Answer:

Option D - 64 feet.

Step-by-step explanation:

Given : Ja'Von kicks a soccer ball into the air. The function f(x) = -16(x-2)^2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds.

To find: What is the maximum height the ball reaches?

Solution :

To find the maximum height of the ball we find the derivative,

f(x) = -16(x-2)^2 + 64

Derivate w.r.t x

f'(x) = -16\times 2(x-2)+0      

f'(x) = -32(x-2)    

To find maxima put f'(x)=0

0= -32(x-2)      

32x=64        

x=2      

Now, we find the second derivative form maximum,

f''(x) = -32      

Therefore, The maximum point is at x=2

Substitute x=2 in the given function,

f(2) = -16(2-2)^2 + 64        

f(2) = -16(0)+ 64

f(2) = 64

Therefore, Option D is correct.    

The maximum height the ball reaches is 64 feet.                      

7 0
3 years ago
Read 2 more answers
Can someone just solve the problem please? it has to be an inequality in the equation
Yuri [45]

Answer:

(A) Let a represent the number of hours Cassie needs to work

(B) The inequality is 10 × a + 30 ≥ 140

(C) a ≥ 11

(D) Cassie needs to work babysitting for her neighbor for at least 11 hours to be able to buy the graphing calculator

Step-by-step explanation:

The least amount Cassie needs for the graphing calculator = $140

The amount Cassey currently have saved = $30

The amount her neighbor offers for her to babysit = $10 per hour

(A) The definition of the variable is given as a = The number of hours Cassie needs to work

(B) The inequality that defines the situation is 10 × a + 30 ≥ 140

(C) Solving the inequality gives;

10 × a + 30 ≥ 140

10 × a  ≥ 140 - 30

∴10 × a  ≥ 110

a ≥ 110/10

∴ a ≥ 11

Which gives;

The number of hours Cassie needs to work = a ≥ 11 hours

(D) The solution means that Cassie needs to babysit for her neighbor for at least 11 hours to be able to buy the graphing calculator.

5 0
3 years ago
Avi is 4 years older than twice the age of his sister sharda. Avi is 16. how old is sharda a.4yrs b. 6yrs c. 8yrs
MrRissso [65]

Answer:

8 years oldbecouse twice the age of his sister sharda

4 0
3 years ago
Read 2 more answers
Which data collection method would provide an unbiased sample?
tia_tia [17]

Answer:

The best data collection method or sampling method to provide an unbiased sample is the random sampling method.

Step-by-step explanation:

There are 5 popular known sampling methods or data collection methods.

1) Random Sampling

In random sampling, each member of the population would have an equal chance of being surveyed. One of the best ways to use random sampling is to give all the members of the population numbers and then use computer to generate random numbers and pick the members of the population with those random numbers.

2) Systematic sampling is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth member is picked to be sampled.

3) Convenience Sampling

This is the worst sampling technique. It is also the easiest. In Convenience sampling, the surveyor just picks the first set of members of the population that they find and surveys.

4) Stratified Sampling

Stratified sampling divides the population into groups called strata. A sample is taken from each of these strata using either random, systematic, or convenience sampling.

5) Cluster sampling

Cluster Sampling divides the population into groups which are called clusters or blocks. The clusters are selected randomly, and some members or every element/member in the selected clusters is surveyed.

Hope this Helps!!!

8 0
4 years ago
The radius of a circle is 2 5/6 what is the area of a circle in terms of n
telo118 [61]

Answer:

8.03n

Step-by-step explanation:

I hope that n means pi. i just squared the radius and added pi to the end of it. sorry if that's wrong.

5 0
3 years ago
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