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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

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Anna007 [38]

Answer:

Step-by-step explanation:

Given that,

The company makes 4 different sweat shirts

Each year they make 60,000 of each kind.

So, if they will make 60,000 sweat shirt for each brand and the company design 4 different brand.

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Then,

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Therefore, 4 brand = 60,000 × 4

4brand = 240,000 sweat shirts.

So, in a year the company will make 240,000 sweat shirts.

4 0
3 years ago
Ellie practices piano 2/3 h per day, several days each week. She practiced piano 32 2/3 hours during the summer. What equation c
SVEN [57.7K]

hello :)

so let me just give you the answer first:

2/3 * d = 32 2/3

here is why

so since the sentence said 2/3 PER day, then d (the number of days) multiplied by the time spent each day playing piano should give you how much time was spent in total over the certian number of days.

the 32 2/3 is just the amount of time ellie spent (as you have said)

so, this equation would be the correct one.

i hope this helped you out! please vote me for brainliest and have splendid day!

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3 years ago
What is the solution to the following system of equations? x+2y=2 x-2y=-2
Tcecarenko [31]
All in all you would get the answer x+y=1.
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Answer:

A.

Step-by-step explanation:

Graph B must be incorrect as this is a directly proportional relationship. Likewise, graph C shows an inversely proportional relationship.

Between graph A and D, only graph A passes through the origin, which is true because if length is zero, perimeter is zero.

Hence the answer is Graph A.

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Step-by-step explanation:

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