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
steposvetlana [31]
3 years ago
10

For a normal distribution, a positive value of z indicates that _______.

Mathematics
1 answer:
klasskru [66]3 years ago
3 0

Answer:

A positive value of <em>z</em> indicates the sample mean is more than the population mean.

Step-by-step explanation:

The <em>z</em>-score or the standardized normal distribution score is defined as:

                                            z=\frac{\bar x-\mu}{{\frac{\sqrt{\sigma} }{n} } }

Here,

\bar x = sample mean

\mu = population mean

\sigma = population standard deviation

<em>n</em> = sample size.

The value of population standard deviation is always positive since it is the square of the deviations of values from their mean.

Then if the value of <em>z</em> is positive or negative is determined by the value of \bar x and \mu.

  • If <em>z</em> = positive, this implies that

          \bar x-\mu>0\\\bar x>\mu

       That is the sample mean is greater than the population mean.

  • If <em>z</em> = negative, this implies that

          \bar x-\mu

       That is the sample mean is smaller than the population mean.

Thus, a positive value of z indicates the sample mean is more than the population mean.

You might be interested in
Translate this sentence into an equation.
motikmotik

Answer:

g = 61.

Step-by-step explanation:

g + 9 = 70             Subtract 9 from both sides of the equation:

g + 9 - 9 = 70 - 9

g = 61.

4 0
3 years ago
The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probabilit
Alik [6]

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean and \sigma is the standard deviation.

b) We have to find X when Z has a p-value of \frac{a}{100}, and X is given by: X = \mu - Z\sigma, in which \mu is the mean and \sigma is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean \mu, standard deviation \sigma

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean and \sigma is the standard deviation.

b. If the length of pregnancy is in the lowest a​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of \frac{a}{100}, and X is given by: X = \mu - Z\sigma, in which \mu is the mean and \sigma is the standard deviation.

8 0
3 years ago
What is the value of x in the diagram?
Mamont248 [21]

Answer:

x+55=2x-15 [being corresponding angle

55-15=2x-x

40=x

4 0
3 years ago
Read 2 more answers
Simplify -3y(y + 2)^2 - 5 + 6y
ser-zykov [4K]

Answer:

That'll help a lot of people in the future ^.^

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help me with this it’s is urgent
Irina-Kira [14]

Answer:

the nominator could be any number here

4 0
2 years ago
Read 2 more answers
Other questions:
  • Point D(−1, 5) is reflected across the x-axis.
    12·2 answers
  • A department store is having a sale where a pocketbook is on sale for 1/4 off the retail price. Then entitled 30% off the sale p
    8·1 answer
  • Sinea spent $8 on games and $12 on souveniers. if she spends $26 on games, how much will she spend on souveniers?
    9·1 answer
  • What is Yasmeen's annual salary if her salary per fortnight is $1610?<br><br><br><br>​
    10·1 answer
  • Can someone answer this please?
    7·1 answer
  • SOMEONE PLEASE I NEED HELP!!!!!!!
    5·1 answer
  • Deshaun made $289 for 17 hours of work at the same rate how much would he make for 11 hours or work
    10·1 answer
  • Can somebody help me make a word problem of a inequality equation pls
    5·1 answer
  • 1. Jake drew this rectangle and colored it in this pattern.​
    10·1 answer
  • Ms. Rudolph randomly selects one student from a group of students. 14 students are wearing a black shirt, 6 students are wearing
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!