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denpristay [2]
2 years ago
7

A simple random sample of size n=40 is obtained from a population with a mean of 20 and a standard deviation of 5. Is the sampli

ng distribution normally distributed? Why?
Mathematics
1 answer:
gulaghasi [49]2 years ago
6 0

If the sample size is n=40 ,mean of 20 and a standard deviation then the sampling distribution is normally distributed.

Given sample size is 40, sample mean is 20, sample standard deviation is 5.

We have to find whether the distribution is normally distributed or not.

Normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off simultaneously towards either extreme. It may be one tailed or two tailed also.

Yes the given distribution whose sample size is 40, sample mean of 20 and sample standard deviation of 5 is normally distributed as the sample size is greater than 30.

Signs of normal distribution are:

  • Symmetric bell shape
  • mean and median are equal both located at the center of the distribution
  • 68% approximately equals 68% falls within 1 standard deviation of the mean.

Hence the sampling distribution is normally distributed.

Learn more about normal distribution at brainly.com/question/4079902

#SPJ4

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What type of number can be written as a fraction p%q where p and q aré integers and q is not equal to zero
MatroZZZ [7]
Hi there!

The correct answer is Rational Number.

\bf{EXPLANATION} :-

Rational Number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator " p " and a non-zero denominator " q ".

~ Hope it helps!
7 0
3 years ago
Find the area of the shaded regions. GIve your answer as a completely simplified exact value in terms of pi. (No approximations)
Anon25 [30]

Answer:

A = 27π cm²

Step-by-step explanation:

Area of the shaded region = area of full circle of O - Area of the unshaded sector

= (πr²) - (θ/360*πr²)

Where,

r = 6 cm

θ = 360

Area of shaded region = (π*6²) - (90/360*π*6²)

= (36π) - (¼*π*36)

= 36π - 9π

Area of shaded region = 27π cm²

4 0
2 years ago
-2(7 + y) ≥ -8(y + 1)<br> Write the solution to each inequality.
zhenek [66]

Answer:

y > 1

Step-by-step explanation:

6 0
3 years ago
What is the answer to this equation? Must solve for x.<br> x+5=12x−4
natulia [17]

Answer:

x = 9/11

Step-by-step explanation:

x + 5 = 12x - 4

Subtract x from both sides

x + 5 - x = 12x - x - 4

        5   = 11x - 4

Add 4 to both sides

      5+ 4 = 11x - 4 + 4

            9 = 11x

Divide both sides by 11

         9/11 = 11x/11

          9/11 = x

x = 9/11

8 0
3 years ago
Read 2 more answers
Sergei says that 10% of a number will always be less than 20% of any other number.
11111nata11111 [884]
That's false.
Let's see an instance:
10% of 300=30
20% of 100=20
It doesn't work here so it's false

5 0
3 years ago
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