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
noname [10]
3 years ago
5

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

ported for a sample of students who worked and for a sample of students who did not work. The samples were selected at random from working and nonworking students at a university. (Use a statistical computer package to calculate the P-value. Use μemployed − μnot employed. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)
Sample Size Mean GPA Standard Deviation
Students Who
Are Employed 172 3.22 0.475

Students Who
Are Not Employed 116 3.33 0.524

t =
df =
P =

Does 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? Use a significance level of 0.05.
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

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

You might be interested in
Right triangle ABC is reflected over AC, then dilated by a scale factor 2/3 to form triangle DEC. Which statements about the two
kodGreya [7K]

Answer:

The answer is "all angle will be same"

Step-by-step explanation:

In the given question choices were missing so, the correct choice can be defined as follows:

Given:

ABC reflected over AC and dilated by a scale factor 2/3 from ΔDEC.

Solution:

\triangle  ABC  \sim  \triangle  DEC \angle B \cong  \angle E3DE = 2AB

7 0
3 years ago
sammi is trying to wrap a gift for her brother. the gift fits into a cube-shaped box with a side length of 9 inches. how many sq
Flauer [41]

Answer:

A=486\ \text{inches}^2

Step-by-step explanation:

The area of a cube shaped box is given by :

A=6s^2

Where

s is the side length and A is the surface area

We have, s = 9 inches

So,

A=6\times (9)^2\\\\A=486\ \text{inches}^2

So, the required area is 486\ \text{inches}^2.

8 0
2 years ago
5.<br> 12.8 ft<br> 9 ft<br> 9 ft
kykrilka [37]

Answer:

what do we have to solve? surface area? volume?

3 0
3 years ago
Read 2 more answers
How do you subtract 3/4-3/8 using simplest form
lbvjy [14]

Answer:

Hello there, I love answering these questions!

Step-by-step explanation: turn 3/4 into 6/8 = 3x2/4x2 then subtract. 6/8 - 3/8 = 3/8

Hope this helped you! Have a wonderful day!


8 0
3 years ago
Write the equation of the line in standard form of the line that passes through (-3, 9) and has a slope of 3.
jeyben [28]

Answer:ez just divise all

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • 2/2 - 1/4 show answer subtracting fractions
    14·2 answers
  • Evaluate 3(x+4)(x+1)<br> (x+2)(x-2) for x=4​
    10·2 answers
  • Jan and Bob run a family business. Jan put a sign up to take 25% off a $999.00 laptop computer. The laptop computer did not sell
    9·1 answer
  • What’s the square root of 10 to the nearest thousandth
    8·1 answer
  • Find f(3) and interpret its meaning.
    5·1 answer
  • What is the product of 40 and 7?
    8·1 answer
  • When Violet was born she weighed 54 pounds. At 5 months old she weighed 16.3 pounds.
    9·1 answer
  • Simplify the expression can someone please help!!!
    7·2 answers
  • I don't get how to do this. Can any one help?<br>f(2) if f(x)=2x-5 ​
    6·2 answers
  • Select all the expressions equivalent to:
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!