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
Tema [17]
3 years ago
7

A nurse is investigating the birth weights of​ non-premature babies. She selects a random sample of 41 such​ babies, and found a

mean weight of 3506.4 grams and a sample standard deviation of
494.2 grams. Find a 95​% confidence interval for the mean birth weight of all ​non-premature babies. Show your calculation for the confidence interval as well as the final confidence interval rounded to one decimal place. Then write a sentence that gives the interpretation of your confidence​ interval, including the correct units.
Mathematics
1 answer:
kherson [118]3 years ago
6 0

Answer:

The 95​% confidence interval for the mean birth weight of all ​non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 41 - 1 = 40

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0211

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.0211\frac{494.2}{\sqrt{41}} = 156

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 3506.4 - 156 = 3350.4 grams

The upper end of the interval is the sample mean added to M. So it is 3506.4 + 156 = 3662.4 grams

The 95​% confidence interval for the mean birth weight of all ​non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.

You might be interested in
You want to buy one DVD for $24.99 and another for $19.99. What is the total price of both DVD's plus tax if the sales tax is 6.
Charra [1.4K]

Answer:

I got 48.03.

Step-by-step explanation:

5 0
3 years ago
Jonah found that the equation -2|8-6|-6=-12
svetoff [14.1K]

Answer:

False equation:   -2|8 - 6| - 6 = -10

Step-by-step explanation:

-2|8 - 6| - 6 = -12                True or false?

-2 | 2| - 6 = -12                    Substract 8 - 6 = 2

-2 × 2 - 6 = -12                    |2| = 2  absolute value of 2 is 2

- 4 - 6 = -12                         -2 × 2 = -4 ( negative times positive = negative)

 -10 = -12                            False

7 0
2 years ago
What is 1.96 rounded to the nearest tenth
a_sh-v [17]

Answer:

2

due to the thenth being higher than the number five i would say round up so 9 becomes a solid number so the answers 2




just remember:


it goes ones decimal tenths hundreths thosenths



as well as five or more raise the score for or less let it rest


sorry for mispelling words its not my greatest skill

4 0
3 years ago
A ferris wheel can accommodate 70 people in 20 minutes; how many people could ride the ferris wheel in 4 hours?
kirill115 [55]

Answer:

840

Step-by-step explanation:

if it can hold 70 in 20 minutes it can hold 210 in 1 hour and 4x210 equals 840

3 0
3 years ago
a perfect score on a test with 25 questions is 100 each question is worth the same number of points how many points is each ques
user100 [1]
4 because 100 divided by 25 is 4.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone show me how to do this? What volumes of 60% hydrochloric acid solution and 30% hydrochloric acid solution must be mi
    9·1 answer
  • HELP PLEASE!
    13·2 answers
  • Can someone help me with this question :)
    15·1 answer
  • Given the domain {-3, 2, 3}, what is the range for the relation 3x + y = 5
    5·1 answer
  • What's the remainder of 789÷24
    5·1 answer
  • PLEASE HELP!!
    13·1 answer
  • Can u pls help me with this question asap ​
    12·2 answers
  • URGENT! PLEASE HELP
    11·1 answer
  • 12 ft. 7 ft. what is the Hypotenuse<br>​
    5·1 answer
  • 1/2(x+10)-2(2 1/2 + 3x)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!