1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
TEA [102]
3 years ago
15

A sample of 5 buttons is randomly selected and the following diameters are measured in inches. Give a point estimate for the pop

ulation variance. Round your answer to three decimal places. 1.04,1.00,1.13,1.08,1.11
Mathematics
1 answer:
Helen [10]3 years ago
3 0

Answer:

s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

But we need to calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_I}{n}

And replacing we got:

\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072

And for the sample variance we have:

s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance \sigma^2

E(s^2) = \sigma^2

Step-by-step explanation:

For this case we have the following data:

1.04,1.00,1.13,1.08,1.11

And in order to estimate the population variance we can use the sample variance formula:

s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

But we need to calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_I}{n}

And replacing we got:

\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072

And for the sample variance we have:

s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance \sigma^2

E(s^2) = \sigma^2

You might be interested in
How to convert prevent to decimal?
zimovet [89]
To convert a pexent to a decimal you have to multiply by 100.
Move the decimal: Another way to convert from decimal to percentage format is to move the decimal two places to the right.

Hope this helped :)
Have a good day
3 0
3 years ago
Create a word problem on Algebraic Expressions and Measurement (grade 10)​
mrs_skeptik [129]

Frank can build a fence in twice the time it would take Sandy. Working together, they can build it in 7 hours. How long will it take each of them to do it alone?

Answer

If Frank and Sandy can build the fence in 7 hours, they must be building

1

7

of the fence every hour.

Now, let the amount of time it takes Sandy be

x

hours so that Frank takes

2

x

hours. Sandy can build

1

x

of the fence every hour and Frank can build

1

2

x

of the fence every hour.

We now have the following equation to solve.

1

x

+

1

2

x

=

1

7

2

+

1

2

x

=

1

7

21

=

2

x

x

=

21

2

=

10.50

Thus, Sandy takes

10.50

hours and Frank takes

21

hours.

6 0
2 years ago
Which pair of lines are parallel? Need to show work
zaharov [31]

Answer:

E

Step-by-step explanation:

7 0
3 years ago
What principle will amount to $6000 if invested at 5.5% compounded monthly for 10 years?
Tju [1.3M]

Answer:In 10 years, you will have $10,386.46

Step-by-step explanation:

8 0
2 years ago
After dividing a piece of wood into four equal sections,each section is 4 in.long.How long was the piece of wood I started with
Cerrena [4.2K]

I'm going to out on a limb and say 16 in.

4 pieces * 4 in. = 16

5 0
3 years ago
Other questions:
  • Solve for u. -14 = u ÷ 8
    11·1 answer
  • Please answer asap question attached, its not too hard
    14·2 answers
  • 17. Bob and his friends decide to go bowling. The cost for the group is $10 for shoe rentals plus $4.00 per game. The model for
    11·1 answer
  • i am begging for help. all of my points for the first to answer. The volume of a sphere is 3/4 x pi cm^3. what is the radios of
    15·1 answer
  • A music video website received 5,000 comments on a new song they released. After the artist performed the song on television, th
    7·1 answer
  • A company manufactures tires at a cost of $40 each. The following are probabilities of defective tires in a given production run
    10·1 answer
  • Someone tell me where everyone is going right please !!
    13·2 answers
  • PLZ SOMEONE ANSWER!!! I'LL GIVE YOU BRAINLIEST!!! <br><br>find the value of x:​
    9·2 answers
  • Factorise the expression 8ab + 7ac
    10·2 answers
  • Find the distance, c, between (–3, 4) and (2, –3) on the coordinate plane. Round to the nearest tenth if necessary.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!