Can someone help me with this?

The College Student Journal (December 1992) investigated differences in traditional and nontraditional students, where nontradit

IceJOKER [234]

Answer:

94.52% probability that the random sample of 100 nontraditional students has a mean GPA greater than 3.42.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

Normal probability distribution

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:

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

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 3.5, \sigma = 0.5, n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05$

What is the probability that the random sample of 100 nontraditional students has a mean GPA greater than 3.42?

This is 1 subtracted by the pvalue of Z when X = 3.42.

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

$Z = \frac{3.42 - 3.5}{0.05}$

$Z = -1.6$

$Z = -1.6$ has a pvalue of 0.0548.

So there is a 1-0.0548 = 0.9452 = 94.52% probability that the random sample of 100 nontraditional students has a mean GPA greater than 3.42.

6 0

3 years ago

What is the equation of the line in slope-intercept form?

Sauron [17]

$y = \frac{3}{5} x + 3$

8 0

3 years ago

Read 2 more answers

3. A full-price ticket for a college basketball game costs $2.50, and a student ticket costs $1.75. If

Dennis_Churaev [7]

Let's say x = full price tickets

Let's say y = student tickets

We can write two equations:

From "585 tickets were sold" we can make the equation:

x + y = 585

And from "Full-price ticket is $2.50 and student ticket is $1.75 and total receipts is $1,217.25"...we can make the equation:

2.50x + 1.75y = 1,217.25

So now we can use substitution to find our answer...since we only have to find how many student tickets...we will solve the first equation for x so we can plug that into the 2nd equation to solve for y.

x + y = 585

x + y - y = 585 - y

x = 585 - y

Now we plug that into our 2nd equation: 2.50 (585 - y) + 1.75y = 1217.25

Distribute your 2.50

1462.5 - 2.50y + 1.75y = 1217.25

Add the y's: 1462.5 - 0.75y = 1217.25

Subtract 1462.5 from both sides:

1462.5 - 0.75y - 1462.5= 1217.25 - 1462.5

-0.75y = -245.25

Divide both sides by -0.75:

y = -245.25/-0.75

y = 327

There were 327 student tickets :)

3 0

4 years ago

What are the first four terms of the sequence represented by the expression n(n – 1) – 4? A. –2, 2, 6, 10 B. –3, 0, 3, 6 C. –4,

vesna_86 [32]

Answer:

C

Step-by-step explanation:

to find the first 4 terms, substitute n = 1, 2, 3, 4 into the expression

n = 1 → 1(1 - 1) - 4 = 0 - 4 = - 4

n = 2 → 2(2 - 1) - 4 = 2 - 4 = - 2

n = 3 → 3(3 - 1) - 4 = 6 - 4 = 2

n = 4 → 4(4 - 1) - 4 = 12 - 4 = 8

the first four terms are - 4, - 2, 2, 8 → C

5 0

3 years ago

What is the value of the expression 3\cdot2+2^33⋅2+2 <br><br> 3

Zielflug [23.3K]

Answer:

Step-by-step explanation:

Given the expression 3.2 + 2^3, we are to simplify and find the value of the expression.

Note that the dot means multiplication. The equation then becomes;

$= 3*2 + 2^3\\\\= (3*2) + (2*2*2)\\\\= 6 + (4*2)\\\\= 6 + 8\\\\= 14$

<em>Hence the value of the expression is 14</em>

4 0

3 years ago