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

Please help me with the question

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Answer:

area = 84 m²

Step-by-step explanation:

area = (1/2)(4)(3)(2) + (5)(6) + (6)(3) + (4)(6) = 84 m²

What is fraction is equal 54%

Answers

Answer:

27/50

20 character minimum

first one how you do it and the second one is the problem

Answers

You didn’t upload any picture maybe you forgot to

In a cookie jar, 1/4 of the cookies are chocolate chip and 2/3 of the rest are peanut butter. What fraction of all the cookies is peanut butter?

Answers

Answer:

1/2 of the cookies are peanut butter.

Step-by-step explanation:

Since 1/4 of the cookies are chocolate chip, this leaves the other 3/4 of the jar, which is equivallent to 75/100. Since 2/3 of 75 is 50, or, 1/2, the answer is 1/2.

Five friends want to share 5/6 of a pie equally what fraction of the whole pie should each friend receive?

Answers

Answer:

1/6

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation: 1/6 because your splitting it equally among 5 friends so all five friends gets 1/6 pie

need help ASAP :}}}}}

Answers

Answer:

The answer is 24

Step-by-step explanation:

(5x4) the first part 5x4 is 20 so then (1x4) the second part 1x4 is 4 so when you add 20 + 4 it will be 24.

Answer:

20 + 4

Step-by-step explanation:

Evaluate in the parenthesis first.

5 x 4 = 20

1 x 4 = 4

bring them down

20 + 4

Keep the plus sign.

The following triangles are similar. Solve for x:

Answers

Answer:

5

Step-by-step explanation:

Common factor: 4. Divide 20 by 4 to get 5

Answer: X=5

Step-by-step explanation:

Since the triangles are similar shape-wise, then that means that the sides are going to be similar numerically.

12/4 got us 3, which is the side of that smaller triangle. Since we divided 12 by 4, then we need to divide 20 by 4 to get the unknown side. 20/4 is 5, therefore x is 5.

I need help on 8

...............................

Answers

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

Sam borrows R7000 from a Bank at 14% p.a ,simple interest for 5 years.
How much does he have to pay back to the Bank at the end of 5 years period.​

Answers

Answer:

$ 4,900.00

Step-by-step explanation:

I = 7000 × 0.14 × 5 = 4900

I = $ 4,900.00

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Long = 6√3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = 12

Long = Adjacent = ?

Apply CAH:

Cos 30 = Adj/Hyp

Cos 30 = Long/12

12*cos 30 = Long

12*√3/2 = long (cos 30 = √3/2)

6√3 = long

Long = 6√3

Answer:

6√3

Step-by-step explanation:

To find the long leg first we have to find the short leg because to find the long leg we need to use short · √3.

hypotenuse =12, short = 1/2 of hypotenuse so short leg = 6 and finally long leg = 6√3

Can someone help me with this right now? :(

Answers

Answer:

A- 6/x^2

Step-by-step explanation:

The ratio of soccer players to baseball players on two school teams is 4 to 7. Which of the following could be the number of players on each team?
Select one:

16 soccer players and 49 baseball players

16 soccer players and 19 baseball players

12 soccer players and 15 baseball players

12 soccer players and 21 baseball players

Answers

Answer:

12 soccer players and 21 baseball players

Step-by-step explanation:

Multiply each ratio by the same number

4x3=12 7x3=21

The answer is the last one. 4•3 =12 and 7•3 =21, you basically just had to scale up the numbers

Solve these equations. Show solutions on a number line.

|x-7|=x-7

Answers

Answer:

X is equal to or greater than 7

Step-by-step explanation:

Since lx-7l is equal to x-7, this means that it can only work on places where the lines are on top of each other. In terms of x, this means that x must be at least 7. As you can see in the number line also attached.

What is the quotient of (x^3 + 3x^2 - 4x - 12) divided by (x^2 + 5x + 6)

Answers

Answer: The quotient is (x-2)

Answer:

x-2

Step-by-step explanation:

If Paul saves $3.00 every week for twelve weeks and then buys a CD for $15.00 plus 9% tax, how much money will he have left?

Answers

Answer:

18.90

Step-by-step explanation:

3x12=36

36-15=21

21 x 0.9

Answer:

$19.65

Step-by-step explanation:

12*3=36

15*.09=1.35

15+1.35=16.35

36-16.35=$19.65

HELP DUE IN 2 MINUTESS!!!! PLS HELP
An Urn contains 6 red marbles and 9 white marbles. A marble is drawn and put back into the urn. Both marbles were red. If another marble is drawn, what is the probability of it being white?

Answers

Answer:

3/5

Step-by-step explanation:

favorable outcomes/total number of outcomes=probability

Answer:

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Previous extractions do not influence the probability

The diagram below shows a cone and a cylinder that have congruent bases and congruent heights.
2.5 in
2.5 in
4 in.
Which statement, where h represents the height of the cone and the height of the cylinder, is true?

Answers

its x of course :)))

Se mezclan alcohol 54% con alcohol de 90 y agua en la proporcion de 6,6 y "n" .hallar "n" sabien que mezclam es del mismo grado de uno de los ingrediente​

Answers

Is there a way you can do this in English like write it in English?

Layla arked a group of students to chooue their favorite type of exerche from the choices of jogging, biling, and wwimming. The rules of the survey are shown in the graph. Favorite Types of exercise 20 Vurbe orders li AD Jogging Biking Swimming Type of Exercise Based on the graph, how many students in a class of 420 students would be expect to choose biking or mwimming as their favorite type of cherche​

Answers

Answer:

50 students

Step-by-step explanation:

20 + 30 = 50

guys help asap plsss!

Answers

Given:

The triangle ABC rotated 270 degrees clockwise.

The rule of rotation is

[tex](x,y)\to (-y,x)[/tex]

To find:

The coordinates of point B after the given rotation.

Solution:

From the given graph, it is clear that the coordinates of point B are (4,4).

The given rule of rotation is:

[tex](x,y)\to (-y,x)[/tex]

Using this rule, we get

[tex]B(4,4)\to B'(-4,4)[/tex]

The coordinates of point B after the given rotation are (-4,4).

Therefore, the correct option is C.

please help and putting the steps would help​

Answers

Answer:

x = 8

Step-by-step explanation:

These angles provided are alternate interior angles. That means they are congruent (equal). All you need to do now is answer the equation "8x-4 = 60".

From that you can see that x is 8.

Answer:

the angles are alternate interior angle pair, they are equal

8x - 4 = 608x = 64x = 8

45 × _____ ÷ 15 = 45

Answers

Answer:

15

Step-by-step explanation:

45 × 15 = 675

675/15 = 15

Answer:

15

Step-by-step explanation:

45x15=675

675/15=45

HELP ME PLEASE TO THIS QUESTION

Answers

Answer:

510 miles, 204/3 = 68

68x7.5= 510

There u go :)

If 5% of a number equals 8, find 50% of that number.

Answers

Answer:

80 will be the answer.

Step-by-step explanation:

Let the number be x.

5% of x=8

(5/100)*x=8

x=(8*100)/5

x=160

Now,

50% of 160

=(50/100)*160

=80

20 POINTS FOR ANSWERING ALL PARTS

Answers

Answer:

wont let me download

Step-by-step explanation:

Solve the equation x^{2}-15x+52=0x
2
−15x+52=0 to the nearest tenth.

Answers

9514 1404 393

Answer:

  x = {5.4, 9.6}

Step-by-step explanation:

Adding and subtracting the square of half the x-coefficient can help you complete the square.

  (x^2 -15x +7.5^2) +52 -7.5^2 = 0

  (x -7.5)^2 = 4.25 . . . . . . add the opposite of the constant; write as a square

  x = 7.5 ±√4.25 . . . . . . . square root, add 7.5

  x ∈ {5.4, 9.6}

Which one is the greatest volume

Answers

Answer: The First Cylinder has more volume

Step-by-step explanation:

1. V = 471.24

2. V = 282.74

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Answers

9f^2-18f+9 is the answer

Wally counted 200 pennies from his piggy bank. He kept 80% of them. How many pennies did Wally keep?
Select one:

160

60

80

120

Answers

The correct answer is A 160

The length, I, of your arm is usually about 3/8 of your height,
h. Which equation demonstrates this?

3/8h=l

3/8l=h

h=5/8l

l=8/3h

Answers

Answer:

l=8/3h equation demonstrates this

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