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
maksim [4K]
3 years ago
12

A sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters. Give a point est

imate for the population standard deviation. Round your answer to three decimal places. 1.48,1.45,1.54,1.52,1.52
Mathematics
2 answers:
12345 [234]3 years ago
6 0

Answer:

Point estimate for the population standard deviation = 0.036

Step-by-step explanation:

We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters;

      X                             X - X bar                           (X-Xbar)^{2}    

    1.48                   1.48 - 1.502 = -0.022                 0.000484

    1.45                   1.45 - 1.502 = -0.052                 0.002704

    1.54                   1.54 - 1.502 = 0.038                  0.001444

    1.52                   1.52 - 1.502 = 0.018                  0.000324

    1.52                   1.52 - 1.502 = 0.018           <u>       0.000324      </u>

                                                                         <u>  Total = 0.00528   </u> 

Firstly, mean of the data above, X bar = \frac{\sum X}{n}  = \frac{7.51}{5} = 1.502

Standard deviation of data, S.D. = \sqrt{\frac{\sum (X-Xbar)^{2} }{n-1} }

                                                     = \sqrt{\frac{0.00528}{5-1} } = 0.036

Therefore, point estimate for the population standard deviation is 0.036 .

liq [111]3 years ago
4 0

Answer:

s^2 = \frac{(1.48-1.502)^2 +(1.45-1.502)^2 +(1.54-1.502)^2 +(1.52-1.502)^2 +(1.52-1.502)^2}{5-1} =0.00132

And for the deviation we have:

s= \sqrt{0.00132}=0.0363

And that value represent the best estimator for the population deviation since:

E(s) =\sigma

Step-by-step explanation:

For this case we have the following data:

1.48,1.45,1.54,1.52,1.52

The first step for this cae is find the sample mean with the following formula:

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

And replacing we got:

\bar X= \frac{1.48+1.45+1.54+1.52+1.52}{5} = 1.502

And now we can calculate the sample variance with the following formula:

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

And replacing we got:

s^2 = \frac{(1.48-1.502)^2 +(1.45-1.502)^2 +(1.54-1.502)^2 +(1.52-1.502)^2 +(1.52-1.502)^2}{5-1} =0.00132

And for the deviation we have:

s= \sqrt{0.00132}=0.0363

And that value represent the best estimator for the population deviation since:

E(s) =\sigma

You might be interested in
Which expression is equivalent to x-3x-(-5x)?
Katena32 [7]

Answer:

D

Step-by-step explanation:

x-3x-(-5x)=-2x+5x=3x

4 0
2 years ago
Read 2 more answers
What are the next three terms of each number pattern: 2,8,32,128
Sloan [31]
Each number is 4 times the previous number"
2*4 = 8
8*4 = 32
32*4 = 128

so next 3 are:
128 * 4 = 512
512*4 = 2048
2048 * 4 = 8192

512 , 2048,  8192
8 0
3 years ago
Read 2 more answers
Victoria has $2.90 in quarters, dimes and nickels. The numbers of nickels is one more than six times the number of quarters, and
maria [59]

Answer:

Step-by-step explanation:

She has 290 cents.

Nickels: 6x+1

Quarters: x

Dimes: 4x

Now that we've converted it algebraically, we can add them

6x+1 + x + 4x = 11x+1 = 290

11x = 289

x = 289/11

let me know if incorrect, i will fix

8 0
2 years ago
The prism below is made of cubes which measure 1/3 of an inch on one side what is the volume
EastWind [94]

Answer:

Volume of rectangular prism = 10/9 inch³

Step-by-step explanation:

Given:

Size of each cube = 1/3 inch

Find:

Volume of rectangular prism

Computation:

Length of rectangular prism = 2 x [1/3]

Length of rectangular prism = 2/3 inch

Width of rectangular prism = 3 x [1/3]

Width of rectangular prism = 3/3

Width of rectangular prism = 1 inch

Height of rectangular prism = 5 x [1/3]

Height of rectangular prism = 5/3 inch

Volume of rectangular prism = Length x Width X Height

Volume of rectangular prism = [2/3] x [1] x [5/3]

Volume of rectangular prism = 10/9 inch³

7 0
2 years ago
Add.
Vikki [24]

Answer:

5/6

Step-by-step explanation:

9/30 + 16/30 = 25/30 = 5/6

3 0
3 years ago
Read 2 more answers
Other questions:
  • How many even integers greater than two and less then 20 are equal in value to the sum of 2 prime numbers?
    10·1 answer
  • You caught a red snapper that is 8 5/12 inches long. Your friend caught a red snapper that is 8 6/13 inches long. Who caught the
    11·1 answer
  • Determine whether the function is a linear transformation. T: P2 → P2, T(a0 + a1x + a2x2) = (a0 + a1 + a2) + (a1 + a2)x + a2x2.
    13·1 answer
  • A pharmaceutical sales representative gets paid $50,000 annually plus
    11·1 answer
  • Solve the equation. X/4 + 10 = 16
    15·2 answers
  • Domenic and Adriana are observing a hot-air balloon from two tracking stations on the ground.
    13·1 answer
  • PLEASE HELP EMERGENCY have a great day
    6·1 answer
  • In this triangle, the product of sin B and tan C is<br> and the product of sin Cand tan B is
    5·1 answer
  • 1. Jordy brings in cupcakes for his class. He brings 2 cupcakes for each person in his class and 5 extra cupcakes as extra just
    12·1 answer
  • Giving brainliest, just for naming off the letters! I can't think of the combination, I just need the names of the letters!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!