A normal population has the mean of 10 and the variance of 25 . A random sample of size n-28 is selected. (a) Find the standard deviation of the sample mean. Round your answer to two decimal places (e.g. 98.76)
(b) How large must the sample be if you want to halve the standard deviation of the sample mean?

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Given that:

population mean = 10

variance \sigma^2 = 25  ; \sigma =√( 25) = 5

sample size n = 28

The standard deviation of the sample mean:

= {(5)/(√(28))

= 0.95

To halve the standard deviation of the sample mean, the size of how large the sample will be can be computed as follows:

(sd_1)/(sd_2) = ((\sigma)/(√(n)) )/((\sigma)/(√(n)) )

\implies  ((5)/(√(28)) )/((5)/(√(28)) )

= (5)/(√(28)) * (√(28))/(5)

= 2

n = 4 × 28

n = 112

Answer 2
Answer:

The standard deviation is 0.95 and if the standard deviation is halved then the sample mean is 112.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

A normal population has a mean of 10 and a variance of 25.

A random sample of sizes n-28 is selected.

A.  The standard deviation will be

\sigma = (√(Var(x)))/(n) \n\n\sigma = (√(25))/(√(28)) \n\n\sigma = 0.95

B.  The sample be if you want to halve the standard deviation of the sample mean

\rm (SD_1)/(SD_2) = 2 = (√(n))/(√(28))\n\nn = 4*28 \n\nn= 112

More about the standard deviation link is given below.

brainly.com/question/12402189


Related Questions

Your flight has been delayed: At Denver International Airport, 85% of recent flights have arrived on time. A sample of 14 flights is studied. Round the probabilities to at least four decimal places.(a) Find the probability that all 12 of the flights were on time.(b) Find the probability that exactly 10 of the flights were on time.(c) Find the probability that 10 or more of the flights were on time.(d) Would it be unusual for 11 or more of the flights to be on time?
Robert wants to try some new chocolate chip cookie recipes. His current recipe calls for three and a half cups of flour for every bag of chocolate chips. He wants to determine which recipes require more or less flour than his current recipe. Sort the items into the diagram below.
I would appreciate if you solved number 2
-1+[(10-12)3 divided by (-16)] =
In this card game, a player is dealt 10 cards. A player wins $1,000,000 if he is dealt 8 hearts. Use combinatorics to set up your problem a. Calculate the probability a player is dealt exactly 8 hearts b. Calculate the probability a player is dealt exactly 8 hearts if the first tweo cards he was dealt were diamonds. 2

Find the value of h(-67) for the function below
h(x)=-49x-125

Answers

Answer:
h(-67) = 3158
General Formulas and Concepts:
Order of Operations: BPEMDAS
- Substitution and Evaluation
Step-by-Step Explanation:
Step 1: Define
h(x) = -49x - 125
h(-67)

Step 2: Solve
1. Substitute: h(-67) = -49(-67) - 125
2. Multiply: h(-67) = 3283 - 125
3. Subtract: h(-67) = 3158

If h(x) = 6 - X, what is the value of (hoh)(10)?
04
01-2
110
16.

Answers

For the function h(x) = 6 - X the value of (hoh)(10) is 10.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given function is h(x) = 6 - X

We have to find the value of  (hoh)(10)

The composite function (hoh)(10) can be written as h(h(10))

h(h(10))

Plug in the value 10 in place of x

=h(6-10)

=h(-4)

Now let us find h(-4)

=6-(-4)

=6+4

=10

Hence, for the function h(x) = 6 - X the value of (hoh)(10) is 10.

To learn more on Functions click:

brainly.com/question/30721594

#SPJ7

Answer:

h(h(10))---> h(-4)---->10 ......hOh(10)=10

Step-by-step explanation:

System AAA \text{\quad}start text, end text System BBB \begin{cases}4x+16y=12\\\\x+2y=-9\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 4x+16y=12 x+2y=−9 ​ \begin{cases}4x+16y=12\\\\x+4y=3\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 4x+16y=12 x+4y=3 ​ 1) How can we get System BBB from System AAA?

Answers

Answer:

i am aware that this is already answered but here is proof that the person above is correct!

Step-by-step explanation:

Answer: A), No

Step-by-step explanation:

Find the size of angle x.

Answers

Answer:

111°

Step-by-step explanation:

By exterior angle theorem:

x = 82 \degree + 29 \degree \n  = 111 \degree

Answer:

x = 111

Step-by-step explanation:

180- 82 -29 is 69 and 180-69 is x which x is equal to 111

IfGeometry SOHCAHTOA

Answers

In geometry, sohcahtoa is an easy way to remember what sine, cos and tan stand for



Soh is sine, which is equal to opposite over hpotenuse


Cah is cos which is equal to adjacent over hypotenuse


Toa is tan which is equal to opposite over adjacent


1. Suppose you have a fair 6-sided die with the numbers 1 through 6 on the sides and a fair 5-sided die with the numbers 1 through 5 on the sides. What is the probability that a roll of the six-sided die will produce a value larger than the roll of the five-sided die? 2. What is the expected number of rolls until a fair five-sided die rolls a 3?

Answers

Answer:

a. 0.5 or 50%

b. 5 rolls.

Step-by-step explanation:

a. There are 30 possible outcomes for this experiment, the sample space for the outcomes in which the six-sided die produces a value larger than the roll of the five-sided die is:

S={6,1; 6,2; 6,3; 6,4; 6,5; 5,1; 5,2; 5,3; 5,4; 4,1; 4,2; 4,3; 3,2; 3,1; 2,1}

There are five outcomes when rolling a 6, four when rolling a 5, three when rolling a 4, two when rolling a 3 and one when rolling a two.

The probability is:

P = (5+4+3+2+1)/(5*6)=0.5

b. The probability of rolling a 3 on the five-sided die is 1 in 5 or 0.20. The expected number of rolls until a fair five-sided die rolls a 3 is:

E(x=1) = (1)/(p(x))=(1)/(0.2)= 5\ rolls