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
bekas [8.4K]
2 years ago
11

A medical center conducted a study to investigate cholesterol levels in people who have had heart

Mathematics
1 answer:
Zinaida [17]2 years ago
6 0

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 90% confidence interval is (246.6, 282.8).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm t\frac{s}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • t is the critical value.
  • n is the sample size.
  • s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed <u>90% confidence interval</u>, with 16 - 1 = 15 df, is t = 1.7531.

Researching the problem on the internet, the standard deviation was of 42.1 mg/dL, hence the parameters are as follows:

\overline{x} = 264.7, s = 41.2, n = 16

Thus, the bounds of the interval are given by:

\overline{x} - t\frac{s}{\sqrt{n}} = 264.7 - 1.7531\frac{41.2}{\sqrt{16}} = 246.6

\overline{x} + t\frac{s}{\sqrt{n}} = 264.7 + 1.7531\frac{41.2}{\sqrt{16}} = 282.8

The 90% confidence interval is (246.6, 282.8).

More can be learned about the t-distribution at brainly.com/question/16162795

You might be interested in
Amanda drove 348 miles using 15 gallons of gas. at this rate, how many gallons of gas would she need to drive 232 miles?
stich3 [128]

348 /15 = 23.2 miles per gallon

232 miles/ 23.2 miles per gallon = 10 gallons

8 0
3 years ago
Read 2 more answers
Find the solution set of x+3&gt;19-3x, where x is a real number ​
il63 [147K]

Answer:

x>4

Step-by-step explanation:

x+3>19-3x

x+3x>19-3

4x>16

x>4

7 0
3 years ago
Read 2 more answers
A shopper gives a cashier $60 to pay for a $49 how much does the cashier of the shopper​
Leni [432]

Answer:

$11.00

Explanation:

$60 given - $49 order = $11 change

8 0
3 years ago
Read 2 more answers
A game is being played with two players. There are 21 balloons and the player who pops the last balloon wins. One or two can be
34kurt

Answer:

  be the second player, and always leave a multiple of 3 balloons

Step-by-step explanation:

In order to win, a player must force the other player to leave one or two balloons. To do that, the winning player must leave one more balloon than the maximum number that can be popped. That is, the winner will be the player who leaves 3 balloons,

Working backward, we find that the winner must leave a multiple of 3 after each turn. Since the starting number is a multiple of 3, the first player must lose if the second player plays optimally.

The winning strategy is ...

  • be the second player
  • always leave a multiple of 3 balloons.
4 0
3 years ago
Rectangle ABCD is similar to rectangle EFGH. Side CD is proportional to side ___.
Musya8 [376]
If the rectangle ABCD is similar to rectangle EFGH, side CD is proportional to the side

C. GH

The order of the letters in naming the rectangle gives us which sides are adjacent  in rectangle and which sides correspond to the other rectangle.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Marco sorted these solid figures into two groups. What is true about the groups?
    12·1 answer
  • Lines p and q are intersecting by line r. If m&lt;1=7x-36 and m&lt;2=5x+12, for which value of x would p||q
    9·1 answer
  • Write 0.2 as a fraction in simplest form
    12·2 answers
  • What is the equation 2y+4n=-6x in slope-intercept form
    9·1 answer
  • Which of the following is a solution of x^2 + 2x + 4?
    7·1 answer
  • Find the height of the rectangular prism below if the volume is 334.8 meters cubed. 6m 18m
    12·1 answer
  • The following dot plot shows the mass of each rock in Nija's rock collection. Each dot represents a different rock.
    11·2 answers
  • HELPP QUICKK PLEASSEEE​
    13·1 answer
  • A function is graphed on a coordinate grid. as the domain values approach infinity, the range values approach infinity. as the d
    10·1 answer
  • Solve for x in the following problem: 9 = 3/5x
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!