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
stich3 [128]
3 years ago
14

According to the website www.collegedrinkingprevention.gov, "About 25 percent of college students report academic consequences o

f their drinking including missing class, falling behind, doing poorly on exams or papers, and receiving lower grades overall." A statistics student is curious about drinking habits of students at his college. He wants to estimate the mean number of alcoholic drinks consumed each week by students at his college. He plans to use a 90% confidence interval. He surveys a random sample of 50 students. The sample mean is 3.90 alcoholic drinks per week. The sample standard deviation is 3.51 drinks. Construct the 90% confidence interval to estimate the average number of alcoholic drinks consumed each week by students at this college.
Mathematics
1 answer:
astraxan [27]3 years ago
4 0

Answer:

The required confidence interval is (3.068,4.732)

Step-by-step explanation:

Consider the provided information.

He plans to use a 90% confidence interval. He surveys a random sample of 50 students. The sample mean is 3.90 alcoholic drinks per week. The sample standard deviation is 3.51 drinks and wants to construct 90% confidence interval.

Thus, n=50, \bar x=3.90 σ=3.51

Now find degree of freedom.

df=n-1\\df=50-1=49

The confidence level is 90% and df=49

Therefore,

\frac{\alpha}{2} =\frac{1-0.90}{2}

\frac{\alpha}{2} =0.05

Now by using t distribution table look at 49 df and  alpha level on 0.05.

t_{\frac{\alpha}{2}} = 1.67653

Calculate SE as shown:

SE=\frac{\sigma}{\sqrt{50} }

SE=\frac{3.51}{\sqrt{50}}=0.4964

Now multiply 1.67653 with 0.4964

Therefore, the marginal error is: 1.67653 × 0.4964≈ 0.832

Now add and subtract this value in given mean to find the confidence interval.

\bar x-E

Hence, the required confidence interval is (3.068,4.732)

You might be interested in
Una empresa alquila tanques de agua en forma de cilindro.Cada tanque tiene un radio de 4 m y una altura de 3 m.
d1i1m1o1n [39]
$678.58 if u can give me brainliest thx! :)
5 0
3 years ago
Who's faster a dog or a fish plz help me ​
VashaNatasha [74]

Answer:

fish

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the solution of 5 x + 1] + 6 = 21?
Mice21 [21]

Answer:

x = -4 or x = 2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I REALLY NEED HELP QUICK PLEASE!!!
stepan [7]
In step 2 the 6(1 * x) is supposed to be 6 * 6x.
8 0
3 years ago
Read 2 more answers
Help helppp help i need answerr thank Uuuuuuuuu​
Galina-37 [17]

Answer:

see explanation

Step-by-step explanation:

(a)

The angles are vertical and congruent, that is

x - 10 = 125 ( add 10 to both sides )

x = 135

-------------------------------------------------

(b)

Supplementary angles sum to 180°

The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then

2x + 3x = 180

5x = 180 ( divide both sides by 5 )

x = 36

thus

2x = 2 × 36 = 72

3x = 3 × 36 = 108

Then the 2 angles are 72° and 108°

3 0
2 years ago
Read 2 more answers
Other questions:
  • How do i multiply a whole number by an improper fraction?
    15·2 answers
  • Why do 7.031 greater than 7.03
    7·1 answer
  • What is the solution to (2 - 1)(4 - 2) + 9 ?
    5·2 answers
  • Apples sell for $1.90 per pound, and bananas sell for $0.75 per pound. Troy bought some apples and some bananas. Together they w
    13·2 answers
  • If log x - log(2x-1)=1 find x​
    13·2 answers
  • Find the slope from Point A to Point B.
    5·1 answer
  • HELP ME WITH THIS MATH
    15·2 answers
  • Need help help me guys,​
    6·1 answer
  • What is the range of the graph below?​
    14·2 answers
  • The angle of elevation to a nearby tree from a point on the ground is measured to be
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!