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
Virty [35]
3 years ago
11

Two samples each of size 25 are taken from independent populations assumed to be normally distributed with equal variances. the

first sample has a mean of 35.5 and standard deviation of 3.0 while the second sample has a mean of 33.0 and standard deviation of 4.0. the pooled estimate of the common variance is 12.5. what is the value of the computed test statistic for testing the equality of the population means
Mathematics
1 answer:
NeTakaya3 years ago
8 0

n_1=25, n_2=25\\ \bar{X_1}=35.5, \bar{X_2}=33\\ s_1=3, s_2=4

Pooled Combined Variance s_p=12.5

Test Statistic:

t=\frac{\left(\bar{X_1}-\bar{X_2}\right)}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

t=\frac{\left(35.5-33\right)}{12.5\sqrt{\frac{1}{25}+\frac{1}{25}}}

\left|t\right|=0.01414

Degrees of freedom = n_1+n_2-2=25+25-2=48

\alpha =0.05

t-Critical =t_{\alpha /2, n_1+n_2-2}=t_{0.025, 48}=-2.0206 \\Table value=|t|=2.0206\\|t|=2.0206

The table value is greater than the calculated value.

Thus we accept H0.

You might be interested in
Prove that XR is equivalent to YP by using the terms in geometry, its just proofs
Sophie [7]
PQRS is a parallelogram                   Given
SR=PQ                                               property of parallelogram
m∠S=m∠Q                                         property of parallelogram
SP=QR                                               property of parallelogram
XP=RY                                               given
SP-XP=QR-RY                                  substitution
SX=QY                                              segment subtraction
ΔSRX is conggruent to ΔQPY           SAS theorem (side-angle-side)
XR=YP                                              CPCTC (corresponding parts of                                                                          congruent triangles are congruent)

3 0
3 years ago
Which of the h-values satisfy the following inequality?
olasank [31]

Answer:

12

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is 5,820,000,000 written in scientific notation?
Ksenya-84 [330]

Answer:

C

Step-by-step explanation:

the decimal would have to move 9 times from the zero position to get to between 5 and 8.

so 5.82 x 10^9

5 0
3 years ago
Read 2 more answers
Your beginning checkbook balance on Sunday morning is $417.83. On Monday you buy groceries for $189. 12 and purchase a meal on T
Ahat [919]

Answer:

320.82

Step-by-step explanation:

4 0
3 years ago
9 ten thousands / 10 in unit form
Phoenix [80]
First write nine ten thousands in standard form which is 90,000. Next divide 90,000 by 10 and you should get 9,000 by crossing out one zero in both numbers. To get 9,000 in unit form all you have to write is 9 thousands. And your answer is 9 thousands
7 0
3 years ago
Other questions:
  • Angie earns $55000 per year. Each year she revives a $1700 increase in annual salary. What will Angie's annual salary be for the
    6·1 answer
  • The data show the average monthly temperatures for two cities over a 6-month period. City 1: {20, 24, 40, 63, 76, 89} City 2: {4
    8·2 answers
  • Write an equation for a line perpendicular to y = 2 x + 5 y=2x+5 and passing through the point (-6,1)
    5·1 answer
  • Please solve. Evaluate the function.
    7·1 answer
  • 2. Evaluate x(-y + z) for x = -1, y = 2, and z = 5.<br> A 7<br> B 3<br> C-7<br> D-3
    6·1 answer
  • Which statement best describes the two figures
    14·1 answer
  • Can someone help me I’m just trynna pass algebra
    14·1 answer
  • Determine if the two triangles are congruent. If they are, state<br> the condition.
    9·1 answer
  • Jack is building 5 raised garden beds in a community garden each raised garden bed will need 178 bag of soil how many bags of so
    5·1 answer
  • The sides of the figure below measure 12, 17, and 20 centimeters. Find the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!