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
taurus [48]
1 year ago
7

What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more th

an 96 words per​ minute
Mathematics
1 answer:
Vinvika [58]1 year ago
3 0

Using the normal distribution, it is found that there is a 0.1029 = 10.29% probability that the sample mean is above 96.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

Researching the problem on the internet, the parameters are given as follows:

\mu = 92, \sigma = 10, n = 10, s = \frac{10}{\sqrt{10}} = 3.1623

The probability that the sample mean is above 96 is <u>one subtracted by the p-value of Z when X = 96</u>, hence:

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

By the Central Limit Theorem:

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

Z = \frac{96 - 92}{3.1623}

Z = 1.265

Z = 1.265 has a p-value of 0.8971.

1 - 0.8971 = 0.1029 = 10.29% probability that the sample mean is above 96.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

You might be interested in
This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide
goldfiish [28.3K]

Answer:

Step-by-step explanation:

1. 1923.25

2.about 3846.5 yards

3.219.91

4.639.82

7 0
3 years ago
Read 2 more answers
Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2
ser-zykov [4K]

Answer:

f(x) = x^3 - 2x^2 - x + 2

Step-by-step explanation:

since the zeroes are 1,-1, and 2. we can write the function like

f(x) = (x-1)(x+1)(x-2)

f(x) = (x^2-1)(x-2)

f(x) = x^3 -2x^2 -x +2

and it is true that f(0)=2

4 0
3 years ago
write correct if the operations are listed in the correct order. if not correct, write the correct order of operations. 3x4÷2 di
Gemiola [76]
PEMDAS applies, so it should be multiply, then divide.
3 0
3 years ago
Read 2 more answers
X^2-21.75x=-15.75 what is one solution
Jlenok [28]
Well, there are two solutions.

Add both sides by 15.75 then from here, you can use quadratic formula.

So your answer should be x = -2.44949 or 2.44949.
5 0
3 years ago
If job growth in your state is projected to be 2 percent and you have
user100 [1]

Answer:

5,500,000

Step-by-step explanation:

I'm not sure if this is correct but how I got that was I divided 11,000,000 by 2. I'm sorry if it's incorrect

5 0
2 years ago
Read 2 more answers
Other questions:
  • How do u simplify 55/122
    9·1 answer
  • Explain how you can mentally determine whether there is a remainder when 18,450 is divided by 6
    8·1 answer
  • Answer quick please! 15 points.
    8·2 answers
  • The square root of 128 times r to the power or three​
    6·1 answer
  • For each table, determine whether the relationship is a linear function. Then represent the relationship using words, an equatio
    7·1 answer
  • Find the degree of the polynomial. 4p2 – 2pq + 3q2
    7·1 answer
  • How is the expression (5 + y) ⋅8 described by its factors and terms?
    12·1 answer
  • The Franklin Family went on
    15·1 answer
  • What is the equation of this line in slope-intercept form?
    15·2 answers
  • Find the values for x and y that make triangle GHM = triangle MPG by SSS.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!