![davidaagurto](/avatars/12295.jpg)
davidaagurto
27.03.2020 •
Mathematics
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 16 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 16 weeks and that the population standard deviation is 3.4 weeks. Suppose you would like to select a random sample of 77 unemployed individuals for a follow-up study.
Find the probability that a single randomly selected value is greater than 15.6.
P(X > 15.6) = (Enter your answers as numbers accurate to 4 decimal places.)
Find the probability that a sample of size n=77 is randomly selected with a mean greater than 15.6.
P(M > 15.6) =
Solved
Show answers
More tips
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- L Leisure and Entertainment What to Bring on a Hike? Essential Items to Pack for a Safe and Enjoyable Adventure...
- L Leisure and Entertainment Couchsurfing: A New Way to Travel...
- S Style and Beauty Autotanning: Harmful or Safe?...
- F Food and Cooking 10 Ideas for a Wedding Anniversary Gift...
- H Health and Medicine How to Reduce Sweating in the Heat and Beyond: Say Goodbye to Excessive Sweat...
- F Food and Cooking Do Aphrodisiacs Really Work? Separating Fact from Fiction...
- H Health and Medicine What to Eat to Lose Weight?...
- A Animals and plants How to Teach Your Parrot to Talk?...
- H Health and Medicine How to Improve Your Posture?...
Answers on questions: Mathematics
- C Chemistry Atom X has 11 protons and 12 neutrons and atom Y has 12 protons and 12 neutrons. They are...
- B Business Imagine that a power failure occurs at your company, such that you lose all of the employee productivity data. how would you go about assessing your employees in a logical...
- A Advanced Placement (AP) It is not only the individual who has been drinking or using drugs who can be the victim of a crash. in america, people will be involved in an alcohol-related crash at...
- S Social Studies Two Psychedelic Approaches to Music -Two ways music might reflect a growing interest in higher consciousness.1.Use music to enhance a drug trip2.Understand the music as...
Ответ:
P(X > 15.6) = 0.5478
P(M > 15.6) = 0.8485
Step-by-step explanation:
We are given that the population of all unemployed individuals the population mean length of unemployment is 16 weeks and that the population standard deviation is 3.4 weeks.
Suppose you would like to select a random sample of 77 unemployed individuals for a follow-up study.
Let X = a single randomly selected value
So, X ~ N(
)
Now, the z score probability distribution is given by;
Z =
~ N(0,1)
where,
= population mean length of unemployment = 16 weeks
(a) Probability that a single randomly selected value is greater than 15.6 is given by = P(X > 15.6)
P(X > 15.6) = P(
>
) = P(Z > -0.12) = P(Z < 0.12)
= 0.5478 {using z table}
(b) Now, Let M = sample mean
So, the z score probability distribution for sample mean is given by;
Z =
~ N(0,1)
where,
= population mean length of unemployment = 16 weeks
n = sample size = 77
Now, probability that a sample of size n=77 is randomly selected with a mean greater than 15.6 is given by = P(M > 15.6)
P(M > 15.6) = P(
>
) = P(Z > -1.03) = P(Z < 1.03)
= 0.8485 {using z table}
Ответ:
I need Help What is The legislative body of our government called