Question

A firm wants to establish how long it is supposed to take to assemble a certain product. A random sample of 13 employees is selected and the company measures how long it takes each of them to assemble the product rounded to the nearest minute.

Data: 5; 45; 11; 9; 14; 22; 45; 16; 30; 25; 19; 45; 15

Solve the following by hand.

You must show your work including the formulas and all your computations.

10. The variance is: ______

11. The standard deviation is: ______

12. The coefficient of variation is: ______

13. Convert the 8 into a Z-score: _______

14. Convert the 30 into a Z-Score _______

Answer #1

Sample size, n =13

Sample mean, =(5+45+......+15)/13 =301/13 =23.1538

**10**.

The variance, s^{2} =
=(5 - 23.1538)^{2} + (45 - 23.1538)^{2} +.........
+ (15 - 23.1538)^{2}/(13 - 1)
=**198.3077**

**11**.

The standard deviation, s =
=
=**14.0822**

**12**.

The coefficient of variation, CV =(s/)*100
=(14.0822/23.1538)*100 =**60.82%**

**13**.

Convert the 8 into a Z-score:

X =8

Z =(X - )/s
=(8 - 23.1538)/14.0822 = **-1.0761**

**14**.

Convert the 30 into a Z-Score:

X =30

Z =(X - )/s
=(30 - 23.1538)/14.0822 =**0.4862**

A firm wants to establish how long it is supposed to take to
assemble a certain product.
A random sample of 13 employees is selected and the company
measures how long it takes each of them to assemble the product
rounded to the nearest minute.
Data: 5; 45; 11; 9; 14; 22; 45; 16; 30; 25; 19; 45; 15
Solve the following by hand.
You must show your work including the formulas and all your
computations.
3. The mean is:...

A firm wants to establish how long it is supposed to take to
assemble a certain product.
A random sample of 13 employees is selected and the company
measures how long it takes each of them to assemble the product
rounded to the nearest minute.
Data: 5; 45; 11; 9; 14; 22; 45; 16; 30; 25; 19; 45; 15
Solve the following by hand.
You must show your work including the formulas and all your
computations.
3. The mean is:...

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Score for this attempt: 69 out of 75
Submitted Apr 10 at 10:59am
This attempt took 74 minutes.
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