Identify each letter of the slope intercept equation y=m×+b

In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were re

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed

The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 3.22

μ2 = 3.33

s1 = 0.475

s2 = 0.524

n1 = 172

n2 = 116

t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)

t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878

df = 230

We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

3 0

3 years ago

When lava is expelled from a volcano, it temperature may vary from 700 degrees Celsius to 1200 degrees Celsius. Write an absolut

ValentinkaMS [17]

Answer:

Ix - 950°C I ≤ 250°C

Step-by-step explanation:

We are told that the temperature may vary from 700 degrees Celsius to 1200 degrees Celsius.

And that this temperature is x.

This means that the minimum value of x is 700°C while maximum of x is 1200 °C

Let's find the average of the two temperature limits given:

x_avg = (700 + 1200)/2 =

x_avg = 1900/2

x_avg = 950 °C

Now let's find the distance between the average and either maximum or minimum.

d_avg = (1200 - 700)/2

d_avg = 500/2

d_avg = 250°C.

Now absolute value equation will be in the form of;

Ix - x_avgI ≤ d_avg

Thus;

Ix - 950°C I ≤ 250°C

3 0

3 years ago

If a cube has a volume of 27mm3, what is the length of one side?

Alexandra [31]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A group of artists is selling small prints to raise money for charity. They sell p prints, and make a profit of f(p) on the sale

liraira [26]

The correct answer is is D) If the group sells 15 prints they will loose $85.

To figure out which statement is true, we have to evaluate the function ,

$p(x)=17x-340$ for all the values given in options (A)-(D). A negative output represents a loss and a positive output will represent a profit.

In A $p=12$ so $f(12)=17\times 12-340=-136$ . In this case we gather that if they sell 12 prints, they will make a loss of $136. This tells us that option A is wrong.

In B, $p=28$ so $f(28)=17\times 28-340=136$ . In this case we gather that if they sell 28 prints, they make a profit of $136. This tells us that option B is wrong.

In C, $p=35$ so $f(35)=17\times 35-340=225$ . In this case we gather that if they sell 35 prints, they make a profit of $225. This tells us that option C is wrong.

Lastly, $p=15$ so $f(15)=17\times 15-340=-85$ . In this case we gather that if they sell 28 prints, they make a loss of 85 dollars. From this we gather that D is the correct option.

5 0

3 years ago

Estimate the following percentages of 60 10% = ___ 25% = ___ 50% =___ 20% =___

Andrei [34K]

10% = 6
25% = 15
50% = 30
20% = 12

5 0

2 years ago

Identify each letter of the slope intercept equation y=m×+b​

Identify each letter of the slope intercept equation y=m×+b