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
Lisa [10]
3 years ago
7

You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 nigh

t students, and the sample mean GPA is 2.35 with a standard deviation of 0.46. You sample 25 day students, and the sample mean GPA is 2.58 with a standard deviation of 0.47. Test the claim using a 5% level of significance. Assume the sample standard deviations are unequal and that GPAs are normally distributed. Give answer to exactly 4 decimal places.Hypotheses:sub(H,0):sub(μ,1) = sub(μ,2)sub(H,1):sub(μ,1) ≠ sub(μ,2)**I'm not sure how to calculate this in excel***Enter the test statistic - round to 4 decimal places.A=Enter the p-value - round to 4 decimal places.A=
Mathematics
1 answer:
kirill [66]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 μ1 be the mean GPA of night students and μ2 be the mean GPA of day students.

The random variable is μ1 - μ2 = difference in the mean GPA of night students and the mean GPA of day 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

This is a two tailed test.

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

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 2.35

μ2 = 2.58

s1 = 0.46

s2 = 0.47

n1 = 30

n2 = 25

t = (2.35 - 2.58)/√(0.46²/30 + 0.47²/25)

t = - 1.8246

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 = [0.46²/30 + 0.47²/25]²/[(1/30 - 1)(0.46²/30)² + (1/25 - 1)(0.47²/25)²] = 0.00025247091/0.00000496862

df = 51

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

p value = 0.0746

Since alpha, 0.05 < than the p value, 0.0746, then we would fail to reject the null hypothesis.

You might be interested in
Find the value of b.
Nesterboy [21]

Answer: 230^{\circ

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume \overline{AB} and \overline{BC} are tangents to the circle.

  1. \overline{BO} \cong \overline{BO} (reflexive property)
  2. \overline{AB} \cong \overline{BC} (tangents drawn from a common external point are congruent)
  3. \angle BAO \cong \angle BCO (right angles are congruent)

Therefore, we know \triangle ABO \cong \triangle CBO by HL.

Thus, by CPCTC,

\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}

This means the measure of minor arc AC is 130^{\circ}, and thus b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}

7 0
1 year ago
PLZ HELP
nasty-shy [4]

Answer:

do u need other coordinates?

if so B'(1,-1)

C'(1,4)

D'(5,6)

the formula is (-x,y)

hope it helps :)

7 0
2 years ago
Please answer this by solving it
mr Goodwill [35]

Answer:

5 5/6

Step-by-step explanation:

Change them into improper fractions.  Multiply the denominator by the whole number and then add the numerator.  Put that number over the denominator.

2 X 3 = 6           3 X 2 = 6

6 + 1 = 7            6 + 1 = 7

7/3                      7/2

New expression:    7/3 + 7/2

Find a common denominator.  Both denominators can go into 6.

14/6 + 21/6 = 35/6

Change this back into a mixed number by dividing.

Answer: 5 5/6

8 0
2 years ago
Q11.
Kamila [148]

Answer:

Step-by-step explanation:

The area of a trapezium is given as;

Area = \frac{1}{2}(a + b)h

where: a is the length of the upper side, b is the length of its base and h is its height.

This implies that; a = x - 4, b = x + 5, h = 2x and area = 351

Thus,

351 =  \frac{1}{2}((x - 4) + (x + 50)) 2x

      = (x - 4 + x + 5) x

531 = (2x + 1) x

      = 2x^{2} + x

So that;

2x^{2} + x - 531 = 0

This gives a quadratic equation.

5 0
3 years ago
James stopped making payments on a credit card when he was in college. When applying for a car loan after graduation, he realize
wolverine [178]

Answer:

Here, James took the right decision. I will clarify this with few points.

1st - If he purchases a car at high interest rate, he will still have all his debt on previous credit card standing as it is. He will have to pay car loan plus his older dues thus paying at double places.

2nd - It is likely that he can still default on loans as paying double money each month can create problems and James can again stop making payments.

3rd - If James starts paying his debts now, he can be free in a few years time and his credit score will again become good. Then he will get the regular rate of interest for his car as he will be debt free.

So, we can say, he made the right decision.

5 0
3 years ago
Other questions:
  • How do I find the length of the third side of the triangle
    6·1 answer
  • Someone help please
    10·1 answer
  • A missile is fired at an angle of 75 from the horizontal. At one point, its speed was 900 mph. Find its horizontal velocity in m
    5·1 answer
  • Which statement would be true if you evaluate the expression (560 + 70) ÷ 10?
    9·1 answer
  • Solve. picture attached
    12·1 answer
  • Which of the following is an example of theoretical probability?
    9·1 answer
  • I need help with this fast
    14·1 answer
  • Patricia’s dog, Max, weighs 6.75 kilograms. There are approximately 0.45 kilograms in 1 pound. Which measurement is closest to t
    9·1 answer
  • Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the entire order.
    6·2 answers
  • Which fraction is equivalent to StartFraction 2 Over 6 EndFraction? StartFraction 3 Over 7 EndFraction, because StartFraction 2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!