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
poizon [28]
3 years ago
9

The U.S. Bureau of Labor Statistics reports that of persons who usually work full-time, the average number of hours worked per w

eek is 43.4. Assume that the number of hours worked per week for those who usually work full-time is normally distributed. Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers?
Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0

Answer:

The standard deviation of number of hours worked per week for these workers is 3.91.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem we have that:

The average number of hours worked per week is 43.4, so \mu = 43.4.

Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.

This means that the Z score of X = 48 has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use Z = 1.175.

Z = \frac{X - \mu}{\sigma}

1.175 = \frac{48 - 43.4}{\sigma}

1.175\sigma = 4.6

\sigma = \frac{4.6}{1.175}

\sigma = 3.91

The standard deviation of number of hours worked per week for these workers is 3.91.

You might be interested in
Write an equivalent expression using the distributive property: 7(2+4).
asambeis [7]

Answer:

Step-by-step explanation:

(7+4) any expression 2

5 0
2 years ago
Hey im back with this map i need help
Katena32 [7]

Answer:

m<5= 46 degrees

m<8= 134 degrees

Step-by-step explanation:

m<5: all you need to do is subtract 134 from 180

m<8: m<2 and m<8 have the same angle

7 0
2 years ago
How is the words enter and victor alike
pickupchik [31]
These words are represented as homophones as they sound alike but have the different meanings.
6 0
3 years ago
A standard showerhead in Andrew's house dispenses 8 gallons of water per minute. Andrew changed this showerhead to an energy-sav
Kipish [7]
<span>64-24 = 40

</span><span>D) 40 gallons</span>
4 0
2 years ago
Write a statement relating the opposites of each of the given numbers.
Leokris [45]
Yes -1/5 is less than 1/3
8 0
3 years ago
Read 2 more answers
Other questions:
  • The perimeter of rectangle abcd is 96 cm the ratio of the side ab bc is 3 5 what is the length in centimeters of ab
    13·1 answer
  • I need help with this ....!!!!!
    11·1 answer
  • A conical cup is 15 cm long. It has a radius of 4 cm. How many liters of water will the cup hold? 1 liter = 1000 cm3.
    9·1 answer
  • Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope
    6·1 answer
  • Which graph represents the hyperbola x^2/3^2 - y^2/8^2
    14·1 answer
  • Can someone explain step by step to me
    13·1 answer
  • Which descriptions can describe more than one triangle? check all that apply
    9·2 answers
  • Answers please this is very hard :))
    8·2 answers
  • Can you help me find the measure of angle B plss
    11·1 answer
  • A local bakery charges $2.75 per cupcake.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!