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
Dmitry_Shevchenko [17]
3 years ago
10

Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 117 mg/dl and

σ = 10.6 mg/dl. What is the level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L ? Give your answer precise to one decimal place.
Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0

Answer:

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 117, \sigma = 10.6, n = 6, s = \frac{10.6}{\sqrt{6}} = 4.33

What is the level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L ?

This is the value of X when Z has a pvalue of 1-0.01 = 0.99. So X when Z = 2.33.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

2.33 = \frac{X - 117}{4.33}

X - 117 = 2.33*4.33

X = 127.1

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

You might be interested in
Which addition property is demonstrated by this problem?<br><br> 23 + (4 + 3) = (23 + 4) + 3
makvit [3.9K]
Answer;
Commutative Property

It is considered commutative when changing the order of the operands does not change the result.

(a brainliest would be appreciated)
8 0
3 years ago
The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length
valentinak56 [21]

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall =  10+2x

Since , Area of rectangle = length x width

Then, as per given,

252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

7 0
3 years ago
9.W
gogolik [260]
The correct answer is A
5 0
3 years ago
Find the value of x in the isosceles triangle
SCORPION-xisa [38]

Step-by-step explanation:

Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.

x = 8sin60° = 6.928 or sqrt48.

4 0
2 years ago
Read 2 more answers
Determining Cost of Land
irakobra [83]

The complete question is:

On-Time Delivery Company acquired an adjacent lot to construct a new warehouse, paying $90,000 in cash and giving a short-term note for $50,000. Legal fees paid were $1,750, delinquent taxes assumed were $25,000, and fees paid to remove an old building from the land were $9,000. Materials salvaged from the demolition of the building were sold for $1,000. A contractor was paid $415,000 to construct a new warehouse. Determine the cost of the land to be reported on the balance sheet.

The cost of land to be reported exists at $174,750.

<h3>How to determine the cost of the land to be reported on the balance sheet?</h3>

The cost of land noted in the balance sheet does not only contain the price spent to gain the land but also includes any costs/revenue obtained in the procedures, and activities required to obtain the land to the setting in which it may be prepared for use.

Therefore, except for the price paid which exists at $140,000 ( $90,000 cash and $50,000 short-term note), we have to count up all the applicable expenses including Legal fees, delinquent taxes, Disposal of old building expenditures and remove the material salvaged profit from the destruction of the old building. The construction cost of the new warehouse exists extraneous here as, without this cost, the land exists already in a ready-to-use stage ( i.e: for building a new property on the land)

So, the amount of Cost of land to be reported exists

140K + 1,75K + 25K + 9K - 1K = $174,750.

To learn more about balance sheet refer to:

brainly.com/question/1113933

#SPJ9

8 0
1 year ago
Other questions:
  • Solve. G + 1/11 = 2/4<br> G = 1/44<br> G = 9/22<br> G = 13/22<br> G = 1/15
    8·1 answer
  • The length of the base of a triangle is twice its height. if the area of the triangle is 44 square​ kilometers, find the height
    12·1 answer
  • What is the explicit formula for the sequence of even integers?
    9·1 answer
  • Which equation is equal to 4a + 2b = 10
    11·1 answer
  • What is 60 divided by 57 give answer in decimal form
    8·1 answer
  • Write the equation for the translation. y=cos x; translated 5 units right.
    7·1 answer
  • 1000 divided by1000 is just 1
    10·2 answers
  • Subtract. Write your answer as a mixed number in simplest form.<br><br> 8 1/4 + 4 5/6
    8·1 answer
  • What's the measure of the angle indicated with a "?"
    14·1 answer
  • Help for all, will mark brainliest!!!!! :)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!