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
miv72 [106K]
2 years ago
9

Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time f

aculty? An article reported that for a sample of 125 courses taught by full-time faculty, the mean course GPA was 2.7386 and the standard deviation was 0.65342, whereas for a sample of 88 courses taught by part-timers, the mean and standard deviation were 2.8439 and 0.49241, respectively. Does it appear that true average course GPA for part-time faculty differs from that for faculty teaching full-time? Test the appropriate hypotheses at significance level 0.01. Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
Mathematics
1 answer:
alexandr1967 [171]2 years ago
6 0

Answer:

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

-1. 34

0.1837

Step-by-step explanation:

Full time :

n1 = 125

x1 = 2.7386

s1 = 0.65342

Part time :

n2 = 88

x2 = 2.8439

s2 = 0.49241

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

Test statistic :

The test statistic :

(x1 - x2) / sqrt[(s1²/n1 + s2²/n2)]

(2.7386 - 2.8439) / sqrt[(0.65342²/125 + 0.49241²/88)]

−0.1053 / sqrt(0.0034156615712 + 0.0027553)

-0.1053 /0.0785554

= - 1.34

Test statistic = - 1.34

The Pvalue :

Using df = smaller n - 1 = 88 - 1 = 87

Pvalue from test statistic score ;

Pvalue = 0.1837

Pvalue > α ; We fail to reject the null and conclude that the GPA does not differ.

At α = 0.01 ; the result is insignificant

You might be interested in
which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x-1| -1​
svetoff [14.1K]

Answer:

you got to put ylxl

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Find (f • g) when f(x) = x^2 + 5x + 6 and g(x) = 1/x+3
Nikitich [7]

Answer:

option D

Step-by-step explanation:

f(x) = x^2 + 5x + 6

g(x)= \frac{1}{x+3}

(fog)(x) = f(g(x))

Plug in g(x) in f(x)

We plug in 1/x+3 in the place of x  in f(x)

f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6

To simplify it we take LCD

LCD is (x+3)(x+3)

\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}

\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}

All the denominators are same so we combine the numerators

\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}

\frac{6x^2+41x+70}{x^2+6x+9}

Option D is correct

8 0
2 years ago
Read 2 more answers
3.7m∧5÷3.7m∧2 How do I complete this expression?
hjlf

The average ocean depth is 3.7 × 103 m, and the area of the oceans is 3.6 × 1014 m2. What is the total volume of the ocean in liters? (One cubic meter contains 1000 liters. Round your answer to one decimal place.)

8 0
3 years ago
Read 2 more answers
8th grade math urgent need help
Rainbow [258]

Answer:

p > 4

Step-by-step explanation:

your welcome

7 0
3 years ago
Read 2 more answers
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
Other questions:
  • I NEED ANSWER ASAP!!! TEST DUE IN 30 MINUTES!!
    12·2 answers
  • What is the probability of rolling a sum of 4 when rolling two 6-sided number cubes
    7·1 answer
  • Pleaseeee help me out
    7·2 answers
  • Which sequence of transformations will produce similar but not congruent figures?
    12·1 answer
  • A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude
    7·2 answers
  • Apply the distributive property to factor out the greatest common factor.<br> 30+42=30+42=
    7·2 answers
  • Simplify 4^5/4^3 and show steps
    12·1 answer
  • 4x-10+1.5x-4x+11=8.5-6
    15·2 answers
  • Help me please !
    8·1 answer
  • If the lengths of two sides of a triangle are 6 and 7, the length of the third side may be
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!