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
padilas [110]
2 years ago
7

Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.005 signif

icance level.
(a)The null and alternative hypothesis would be:_______
A. H 0 : μ O ≤ μ C
H 1 : μ O > μ C
B. H 0 : p O ≤ p C
H 1 : p O > p C
C. H 0 : p O ≥ p C
H 1 : p O < p C
D. H 0 : μ O = μ C
H 1 : μ O ≠ μ C
E. H 0 : p O = p C
H 1 : p O ≠ p C
F. H 0 : μ O ≥ μ C
H 1 : μ O < μ C
(b)The test is:_______
A. left-tailed
B. two-tailed
C. right-tailed
(c)The sample consisted of 60 Orange Coast students, with a sample mean GPA of 2.91 and a standard deviation of 0.05, and 60 Coastline students, with a sample mean GPA of 2.96 and a standard deviation of 0.03.
(d)The test statistic is:________ (to 2 decimals)
(e)The p-value is:________ (to 2 decimals)
(f)Based on this we:_______
A. Fail to reject the null hypothesis
B. Reject the null hypothesis
Mathematics
1 answer:
algol [13]2 years ago
5 0

Answer:

a) F. H 0 : μ O ≥ μ C

H 1 : μ O < μ C

b) B. two-tailed

d) t=\frac{(2.91-2.96)-0}{\sqrt{\frac{0.05^2}{60}+\frac{0.03^2}{60}}}}=-6.64  

e) p_v =P(t_{118}  

f) B. Reject the null hypothesis

Step-by-step explanation:

Information provided

\bar X_{O}=2.91 represent the mean for the Orange Coast

\bar X_{C}=2.96 represent the mean for the Coastline

s_{O}=0.05 represent the sample standard deviation for Orange Coast

s_{C}=0.03 represent the sample standard deviation for Coastline

n_{O}=60 sample size for Orange Coast

n_{C}=60 sample size for Coastline

\alpha=0.005 Significance level provided

t would represent the statistic

Part a

For this case we want to test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students

Null hypothesis:\mu_{O} \geq \mu_{C}  

Alternative hypothesis:\mu_{O} < \mu_{C}  

F. H 0 : μ O ≥ μ C

H 1 : μ O < μ C

Part b

For this case we need to conduct a left tailed test.

B. two-tailed

Part d

The statistic is given by:

t=\frac{(\bar X_{O}-\bar X_{C})-\Delta}{\sqrt{\frac{s^2_{O}}{n_{O}}+\frac{s^2_{C}}{n_{C}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=60+60-2=118  

Replacing the info we got:

t=\frac{(2.91-2.96)-0}{\sqrt{\frac{0.05^2}{60}+\frac{0.03^2}{60}}}}=-6.64  

Part e

We can calculate the p value with this probability:

p_v =P(t_{118}  

Part f

Since the p value is a very low value compared to the significance level given of 0.005 we can reject the null hypothesis.

B. Reject the null hypothesis

You might be interested in
Identify the rate of change
Thepotemich [5.8K]

Answer:

The rate of change is -2

Step-by-step explanation:

I know because I used a calculator and it is decreasing by 2 in the x column. Plzz can I have brainiest

6 0
3 years ago
On a bicycle trail, the city is painting arrows like the one shown below:
Marina CMI [18]

Answer:

134

Step-by-step explanation:

1. seperate the rectangle bottom and the triangle top

2. I did the triangle first: 4×12=48÷2=24

3. the rectangle: 11×10=110

4. add the final numbers together: 110+24=134

7 0
2 years ago
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
VMariaS [17]

Answer:

(f-g)(x) would be 2x-3

5 0
3 years ago
A student finds the slope of the line between (8, 17) and (1, 4). She writes 17-41-8. What mistake did she make? What is the cor
ValentinkaMS [17]

slope = (y2-y1)/(x2-x1)

m =(17-4)/(8-1)

m = 13/7

You have to keep the pairs in the same order

7 0
2 years ago
What is the geometric mean of 8 and 2?​
Molodets [167]

9514 1404 393

Answer:

  4

Step-by-step explanation:

The geometric mean of two numbers is the square root of their product.

  √(8·2) = √16 = 4

The geometric mean of 8 and 2 is 4.

__

The geometric mean of n numbers is the n-th root of their product.

6 0
2 years ago
Other questions:
  • A garden is rectangular with an area of 3/7 square miles. If the length of the garden is 2/8 square miles, what is it's width?
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Ccos%28%20%5Calpha%20%20%2B%20%20%5Cfrac%7B%5Cpi%7D%7B2%7D%20%29%20%20%3D%20%20-%20%20%5C
    6·1 answer
  • John paints 3 rooms in 7 hours. At the same pace how long would it take him to paint 10 rooms?
    10·2 answers
  • PLZZ HELPPP!!
    13·1 answer
  • What is 75% of £60?​
    13·2 answers
  • A group of 10 fisherman enjoy certain types of fish, 3 of them like salmon, 5 like trout and 2 like bass. A single fisherman is
    6·1 answer
  • The Peppered Moth has shown a shift from a light color to a dark color. If this is an example of directional selection, what wil
    10·1 answer
  • The polygons in each pair are similiar help find the missibg length???
    5·1 answer
  • Guys Help!!!!!! (Ok thats all i wanted to say so uh enjoy 95 points and yea Have a good day/night)
    6·2 answers
  • Multiply 5/8⋅4/5.<br> Simplify the answer, if possible. <br> 9/13 <br> 1 1/740 <br> 20/40 <br> 1/2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!