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julia-pushkina [17]
3 years ago
8

(Brainliest Award) Suppose a sample of 225 was taken from a population with a standard deviation of 75 feet. In this case, the s

ample mean will be within 10 feet of the population mean 99.7% of the time.
A: True
B: False
Mathematics
2 answers:
strojnjashka [21]3 years ago
7 0
False!!
   Hope This Helped!

Sedbober [7]3 years ago
6 0

Answer with explanation:

Sample Population = 225

Standard Deviation =75 feet

We have to check , whether , the sample mean, will be within 10 feet of the population mean, 99.7%=0.997 of the time.

Z_{0.997}=0.83891

Z_{0.997}=\frac{\bar X-\mu}{\sigma}\\\\0.83891=\frac{225 -\mu}{75}\\\\75 \times 0.83891=225 - \mu\\\\ \mu=225 - 62.92\\\\ \mu=162.08

Sample Mean =162 feet (Approx)

Assuming sample sample size is 2 times of sample Population.That is from ,450 , Sample of 250 is chosen.

Since, within three standard deviation ,from mean on both sides, the whole Population lies.

So, population Mean=225

Difference between Population mean and Sample Mean

→225 - 162= 63

Therefore, the Sample mean and population mean does not differ by a value of 10.

→Sample mean does not lie, within 10 feet of the population mean.  

⇒The given statement is" false",which is ,the sample mean will be within 10 feet of the population mean 99.7% of the time.

 

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What is a description of an undefined term?
alukav5142 [94]

Answer:

In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined. In Geometry, we define a point as a location and no size. ... And the third undefined term is the line.

Step-by-step explanation:

6 0
3 years ago
A recent study asked U. S. Adults to name 10 historic events that occurred during their lifetime that have had the greatest impa
Nadusha1986 [10]

Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, the parameters are:

z = 2.575, n = 2000, \pi = 0.77

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7458

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7942

The 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

More can be learned about the z-distribution at brainly.com/question/25890103

7 0
2 years ago
How do you do this question?
Alex Ar [27]

Step-by-step explanation:

(a) dP/dt = kP (1 − P/L)

L is the carrying capacity (20 billion = 20,000 million).

Since P₀ is small compared to L, we can approximate the initial rate as:

(dP/dt)₀ ≈ kP₀

Using the maximum birth rate and death rate, the initial growth rate is 40 mil/year − 20 mil/year = 20 mil/year.

20 = k (6,100)

k = 1/305

dP/dt = 1/305 P (1 − (P/20,000))

(b) P(t) = 20,000 / (1 + Ce^(-t/305))

6,100 = 20,000 / (1 + C)

C = 2.279

P(t) = 20,000 / (1 + 2.279e^(-t/305))

P(10) = 20,000 / (1 + 2.279e^(-10/305))

P(10) = 6240 million

P(10) = 6.24 billion

This is less than the actual population of 6.9 billion.

(c) P(100) = 20,000 / (1 + 2.279e^(-100/305))

P(100) = 7570 million = 7.57 billion

P(600) = 20,000 / (1 + 2.279e^(-600/305))

P(600) = 15170 million = 15.17 billion

7 0
2 years ago
Simplify 10(x + 4) + 15(x + 1)
motikmotik

Answer:

25x + 55

Step-by-step explanation:

10(x + 4) + 15(x + 1)

Distribute

10x + 40 + 15x +15

Combine like terms

25x + 55

8 0
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Kamila [148]
C=$1.55p

Is this what you need?
Hope this helps and hope you have a great day
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