The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed. A random sample of 15 devices is selected and found to have an average life of 5625.1 hours and a sample standard deviation of 226.1 hours.
(a) Test the hypothesis that the true mean life of a biomedical device is greater than 5500 using the P-value approach.
(b) Construct a 95% lower confidence bound on the mean.
(c) Use the confidence bound found in part (b) to test the hypothesis

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : μ = 5500

H1 : μ > 5500

The test statistic assume normal distribution :

Test statistic :

(Xbar - μ) ÷ s/sqrt(n)

(5625.1 - 5500) ÷ 226.1/sqrt(15) = 2.1429 = 2.143

Pvalue from test statistic :

The Pvalue obtained using the calculator at df = 15 - 1 = 14 is 0.025083

α = 0.05

Since ;

Pvalue < α

0.025083 < 0.05 ; Reject H0

The confidence interval :

Xbar ± Tcritical * s/sqrt(n)

Tcritical at 95% = 1.761 ;

margin of error = 1.761 * 226.1/sqrt(15) = 102.805

Lower boundary : (5625.1 - 102.805) = 5522.295

(5522.295 ; ∞)

The hypothesized mean does not occur within the constructed confidence boundary. HENCE, there is significant eveidbce to support the claim that the true mean life of a biomedical device is greater than 5500


Related Questions

Given the data set, calculate the median
{9, 3, 1, 8, 3, 6}

Answers

Answer:

4.5

Step-by-step explanation:

The median we know is the middle number of a set of numbers. Putting the set in least to great order, we have (1, 3, 3, 6, 8, 9). The middle number here is 3 and 6. We take the mean of 3 and 6, (3+6)/2 which gives us 4.5 and that is our answer.

Answer:

4.5

Step-by-step explanation:

i took the test

Write the equation for the following relation.
D= {(x, y): (3,9), (5, 25), (2, 4), ...)

Answers

Don’t click that link!!

Answer:

y=x^2

Step-by-step explanation:

Write the slope-intercept form of the line given point and slope. ( show work if possible please)

through: (-2,-5), slope = 5 ​

Answers

Answer:

y=5x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=5(x-(-2))

y+5=5(x+2)

y=5x+10-5

y=5x+5

Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.

A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH B!!




B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
HELP ME PLEASE WITH B I ALREADY SOLVED A

THANK YOU!!​

Answers

Answer:x=18

Step-by-step explanation:

if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V

Use Guauss-jordan elimination to solve the following linear system.
5x - 2y = -2
-x + 4y = 4

Answers

Answer:

wdym

Step-by-step explanation:

Help asap please!will mark brainliest if there's two answers

Answers

Answer:

30 square meters

Step-by-step explanation:

there is none im just saying

Select the correct answer.
Tim works for a cell phone company and is testing their new biometric security feature.
He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's
owner. The results of the test are shown in the table.
Total
Unlocked
2,418
232
Owner
Not the Owner
Total
Did Not
Unlock
582
768
3,000
1,000
4,000
2,650
1,350
What is the probability that someone who is able to unlock the phone using the biometric security feature is not the owner?

Answers

The probability that someone who is able to unlock the phone who is not the owner will be 5.8%. Then the correct option is D.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Tim works for a cell phone company and is testing their new biometric security feature.

He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's owner.

The results of the test are shown in the table.

                             Unlocked               Did Not Unlock               Total

Owner                     2418                            582                           3000

Not the Owner        232                             768                            1000

Total                       2650                            1350                          4000

Then the probability that someone who is able to unlock the phone using the biometric security feature is not the owner will be

P = 232 / 4000

P = 0.058

The probability in percentage will be

P = 0.058 x 100

P = 5.8%

Then the correct option is D.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

8.8%

Step-by-step explanation:

I did the test.

3x-4 3x-8 solve for x

Answers

Answer:

32

Step-by-step explanation:

(3x-4)+(3x-8)=180

6x-12=180

6x=192

X=32

Applying the concept of supplementary angles the value of x we get is 32.

Use the concept of supplementary angles defined as:

The pair of angles known as supplementary angles always add up to 180 degrees. The definition of the term "supplementary" is "something supplied to complete a thing." These two perspectives are therefore referred to be complements of one another.

The given angles are:

Exterior angle = 3x - 4

Interior angle = 3x-8

From the figure, we can see that,

These angles are supplementary angles.

And since we know two angles are supplementary angles then,

Their sum = 180 degrees.

Therefore,

3x - 4 + 3x-8 = 180

6x - 12 = 180

Add 12 both sides are,

6x = 192

Divide by 6 on both sides,

x = 32

Hence,

The value of x is 32.

To learn more about supplementary angles visit:

https://brainly.com/question/18362240

#SPJ6

The sales data for January and February of a frozen yogurt shop are approximately normal. The mean daily sales for January was $300 with a standard deviation of $20. On the 15th of January, the shop sold $310 of yogurt. The mean daily sales for February was $320 with a standard deviation of $50. On the 15th of February, the shop sold $340 of yogurt. Which month had a higher z-score for sales on the 15th, and what is the value of that z-score

Answers

Answer:

January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.

Step-by-step explanation:

z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

January:

The mean daily sales for January was $300 with a standard deviation of $20. On the 15th of January, the shop sold $310 of yogurt. This means, respectively, that [tex]\mu = 300, \sigma = 20, X = 310[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{310 - 300}{20}[/tex]

[tex]Z = 0.5[/tex]

February:

The mean daily sales for February was $320 with a standard deviation of $50. On the 15th of February, the shop sold $340 of yogurt. This means, respectively, that [tex]\mu = 320, \sigma = 50, X = 340[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{340 - 320}{50}[/tex]

[tex]Z = 0.4[/tex]

January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.

Corbin can shoot 24 baskets In 3 minutes. Which table best
represents this relationship?

Answers

Answer:

Table C

Step-by-step explanation:

This is the proportional relationship:

y = kx

We have x = 3, y = 24, then k is:

24 = 3k k = 8

The table will look as:

x = 1 ⇒ y = 1*8 = 8x = 2 ⇒ y = 2*8 = 16x = 5 ⇒ y = 5*8 = 40

Correct choice is C

Answer:

c

Step-by-step explanation:

A bag contains 7 red marbles, 8 blue marbles and green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?

Answers

Answer:

For this problem you will be multiplying 3 probabilities together: P(#1 is blue)*P(#2 is blue)*P(#3 is blue). For the first probability, we just need to divide the number of blue marbles by the total number of marbles which would be 8/18. For the 2nd probability, we need to remember that we have already removed 1 blue marble so that the number of blue marbles remaining is now 7 and the total number of marbles is now 17 to give us 7/17. We would repeat this process to get the third probability and then multiply all the probabilities together.

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+161x+108
y=−16x
2
+161x+108

Answers

Answer:

5.03secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

y = -16x^2 + 161x + 108

The rocket reaches it max height when its velocity is zero

Velocity is expressed as;

V(x) = dy/dx  = 0

dy/dx = -32x + 161

0 = -32x + 161

32x = 161

x = 161/32

x = 5.03

Hence it will take 5.03secs for the rocket to reach its maximum height

What does n equal?
EASY

Answers

Answer:

n=8/11

Step-by-step explanation:

Answer:

C) n=8/11

Step-by-step explanation:

3/4n=6/11

n=6/11÷3/4

invert and multiply

n=6/11x4/3

n=24/33

n=8/11

A popular game requires the player to select the same five numbers out of a set of allowed numbers that will be drawn at random by the lottery commission. For the next game, if you select the five numbers that won in the most recent prior drawing, your chances of winning will:

Answers

Options:

A.) decrease because the same five numbers are not likely to occur again so soon.

B.) Increase because those five numbers must be lucky.

C.) be unaffected because every set of five numbers is equally likely on every attempt.

D.) be unknown because it depends on how many times those five numbers have won in the last several drawings.

Answer:

be unaffected because every set of five numbers is equally likely on every attempt.

Step-by-step explanation:

Number selection in the lottery is randomized with each set of number having equal chances of being selected. This means that each and every selection attempt is independent and the outcome of each attempt does not depend on any prior outcome or event. This means that if the numbers drawn from the most previous prior drawing are selected on the next attempt, the probability of winning on the next attempt Neither increases nor decreases. Hence , the probability of winning on the next attempt with this selection is unaffected.

Pls help


Due at 5


Plsssss (NO LINKS)

Answers

Answer: if it is -7+10 then it is 3

PLEASE JUST HELP!!!!!! Anyone!!!!

Answers

Answer:

the answer is 8 because 8 is 20% of 40

I need help. This is due later today.

Answers

Answer:

the first one

Step-by-step explanation:


Please help no links please help no links

Answers

Ok so the first thing you want to do is find the area of the front triangle.

14x10=140

140/2=70

So you have the area of the triangle

Now you just need to times it by 19 to get the depth

70x19=1330

Answer

1330 inches cubed

:)

Give two examples of line segments that will make a triangle ?

Answers

Answer:

If the length of any one side is greater than the sum of the length of the other two, the line segments cannot be used to create a triangle. It is possible to create a triangle using 3 line segments if the sum of the lengths of any two line segments is greater than the length of the third.

3x+5y=30 complete the table of values​

Answers

Answer:

O

Step-by-step explanation:

First you will examine how reflections affect the orientation and location of quaunder
Part A
Predict what will happen to the coordinates of a point (x, y) as the point reflects across a line to produce point (x,y). Choose the x-axis, y-axis, y = x
and y = -x for the lines of reflection. Express your answers in terms of x and y. (Be sure to watch your signs.)
B T U x X Font Sizes AA- :
E 2
Line of reflection Xy
X-axis
y-axis
-X
7:11 PM
4/19/2021
O
994
Type here to search

Answers

Answer:

x -y

-x y

y x

-y -x

Step-by-step explanation:

that's its

n airline company charges the following baggage fees: $25 for the first bag and $35 for the second (i.e., you pay $60 if you check two bags). Suppose 54% of passengers have no checked luggage, 34% have one piece of checked luggage and 12% have two pieces. About how much revenue should the airline expect for a flight of 120 passengers

Answers

Answer:

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Step-by-step explanation:

For each passenger:

54% of passengers have no checked luggage, that is, 54% probability of no revenue.

34% have one piece, that is, 34% probability of $25 revenue.

12% have two pieces, that is, 12% probability of $60 revenue.

The expected revenue for a single passenger is:

[tex]E = 0.54*0 + 0.34*25 + 0.12*60 = 15.7[/tex]

For 120 passengers

15.7*120 = $1,884

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Explain the difference between linear, exponential, and quadratic functions in terms of their graphs, their patterns, and their rates of change.

Answers

Answer:

Quadratic functions are those where their rate of change changes at a constant rate. Exponential functions are those where their rate of change is proportional to itself.

An example of a quadratic function would be the shape that a ball makes when you throw it. Gravity causes a constant acceleration, the ball slows down as it is moving up, and then it speeds up as it comes down.

An example of an exponential function would be the population of a bacterium as long as there is enough space and nutrients or how your money grows with compound interest in a bank.

A quadratic function is one in the form

f(x)=ax2+bx+c  

It’s rate of change (first derivative) is linear.

f′(x)=2ax+b  

The rate of the rate of change (second derivative) is constant.

f′′(x)=2a  

Quadratics are then the solutions to the differential equation

f′′=C  

An exponential function is one in the following form.

g(x)=Aekx  

It’s rate of change is another exponential function.

g′(x)=Akekx  

So exponentials are the solutions to the differential equation

g′=kg

Step-by-step explanation:

Yes. : )

Given the following information about two triangles, triangle CAT and triangle DOG:

Which postulate can be used to prove triangle CAT and triangle DOG are congruent?

SSS Postulate
SAS Postulate
SSA Postulate
ASA Postulate
AAS Postulate

Choose all that apply

Answers

Answer:

1st and 3rd im pretty sure

Step-by-step explanation:

Answer:

1 and 3

Step-by-step explanation:

ANSWER THE QUESTION IN THE PIC BELOW PLEASE

sorry if the pic is blurry if u can't tell what it says beside the line it says 4 in and at the bottom it says 8 in

Answers

The area to the question is 32

Give Brainliest for the correct Answer 50 points

Answers

Answer:

x-30

Step-by-step explanation:

Answer: 5(x-2)=40     5x-10 = 40      5x=50    x=10  

Step-by-step explanation:

^

Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.

Answers

Answer:

65

Step-by-step explanation:

Hi,

Triangles will always add up to 180 degrees. So, 62 + 53 = 115. Subtract it from 180, 180 - 115, and you get 65.

I hope this helps :)

Answer:

65

Step-by-step explanation:

The sum of the three angles of any triangle is equal to 180 degrees

An expression is shown.

​ 6 n

​What is the value of the expression when n=7?

Answers

Answer:

42

Explanation:

replace n by 7 since they are equal and therefore the same thing

so 6*7=42

It’s real simple just answer it

Answers

Answer:

-6 and negative 1 with the bio

Step-by-step explanation:

-6 and -1 Would be the answer

What expression is equivalent to
16+2*36

Answers

Answer: It looks like this expression is 16+2 times 36, so the answer is 18 times 36 also 88, they are both equivalent

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