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
Nadusha1986 [10]
3 years ago
7

Assume that both populations are normally distributed. ​a) Test whether mu 1 not equals mu 2 at the alpha equals 0.05 level of s

ignificance for the given sample data. ​b) Construct a 95​% confidence interval about mu 1 minus mu 2. Sample 1 Sample 2 n 19 19 x overbar 16.2 14.1 s 4.5 3.1
Mathematics
1 answer:
Radda [10]3 years ago
5 0

Answer:

(16.2-14.1) -2.03 \sqrt{\frac{4.5^2}{19} +\frac{3.1^2}{19}} = -0.445

(16.2-14.1) +2.03 \sqrt{\frac{4.5^2}{19} +\frac{3.1^2}{19}} = 4.645

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

n_1 = 19 sample size 1

n_2 = 19 sample size 2

\\bar X_1 = 16.2 sample mean for group 1

\\bar X_2 = 14.2 sample mean for group 2

s_1 = 4.5 sample deviation for group 1

s_2 = 3.1 sample deviation for group 2

Solution to the problem

For this case the confidence interval is given by:

(\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}

And the degrees of freedom are given by:

df = n_1 +n_2 -2 = 19+19 -2= 36

We want a 95% of confidence o then the significance level is 1-0.95 =0.05 and \alpha/2 = 0.025 if we find a critical value in the t distribution with 36 degrees of freedom we got:

t_{cric} =2.03

And replacing we got:

(16.2-14.1) -2.03 \sqrt{\frac{4.5^2}{19} +\frac{3.1^2}{19}} = -0.445

(16.2-14.1) +2.03 \sqrt{\frac{4.5^2}{19} +\frac{3.1^2}{19}} = 4.645

You might be interested in
R = 850 cm, s = 250 cm and t=940 cm. Find the measure of ZS tothe nearest 10th of a degree
faust18 [17]

To find the measure of the s angle que are going use the cosine law because we know all the sides of the triangule:

s² = r² + t² - 2*r*t * cos(S)

Then solve the equation

s² -r² - t² = -2*r*t * cos(S)

arccos ((s² -r² - t² /-2*r*t)) = S

arccos (((250)² -(850 cm)²-(940 cm)² /(-2* 850 cm*940 cm) = S

14.9 = S

round to the nearest 10th of a degree

15º = S

5 0
1 year ago
What is 15 thousands 20 hundreds 5 ones=
Law Incorporation [45]
The answer is 152,005
4 0
3 years ago
Please answer ASAP! All help is deeply appreciated! Stay safe!
NNADVOKAT [17]

Answer:

C. 150

Step-by-step explanation:

60+150+120+270=600

600/4=150

5 0
3 years ago
One million people have equal chances of being called by telephone from a broadcasting show. Determine the probability of one pa
Softa [21]
One out of one million
7 0
3 years ago
Read 2 more answers
ILL GIVE BRAINLESS PLS HELP
Elina [12.6K]
X is greater than or equal to 67

1000/15 =66.6 =67
6 0
3 years ago
Other questions:
  • What does g(n) equal
    12·1 answer
  • A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so
    8·1 answer
  • Solve and explain please
    14·2 answers
  • Find the area and select one of the answers in the file
    5·1 answer
  • Ketchup on hotdog or mustard on a hotdog or both
    11·1 answer
  • Dont just say a random percentage to get brainliest i actually need help​
    10·1 answer
  • Alexandra finished 3/5th of her work. What percentage of work did she complete?
    14·1 answer
  • Explain why the "add a decimal and zero rule" work?
    9·1 answer
  • Which expresion is equivilenet to 3/24
    14·1 answer
  • abercrombie & Fitch is having a sale. The sign posted in the store says, "everything is marked down 65%." Scott buys a jacke
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!