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

a + b − _____ = a
help :)

Answers

Step-by-step explanation:

Subtract a from both sides

a-a+b-___=a-a

b-__=0

b=___

answer:b

Hope that helps :)

It's b. It's a + b - b = a.

PLEASE HELP! I WILL GIVE 5 STARS, A THANKS, AND BRAINLIEST IF CORRECT!


A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.


Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?


A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.

A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of three packs.

A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of three packs.

A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of two packs.

Answers

It would have to be the last one: Online customers buy an average of 6 packs compared with walk-in customers, who buy an average of 2 packs.
This is because more online customers buy the 6 pack than any other pack while the walk-ins buy mainly the 2 packs.

Answer:

The answer would be C: Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Step-by-step explanation:


Simplify: (x2+6x+8) + (-4x2+11x-9)

Answers

Answer:

-3x^2+17x-1

Step-by-step explanation:

A rectangular plaza measures 3/8 mile by 4/5 mile. What is its area?​

Answers

Answer:

3/10

Step-by-step explanation:

then after reducing you get 3/10

                 

The area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.

What is the area of the rectangle?

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We have a rectangular plaza that measures 3/8 mile by 4/5 mile.

Here the length L = 3/8

And width W = 4/5

Area of rectangular plaza = L×W = (3/8)×(4/5)

= 12/40 square miles or

= 0.3 square miles

Thus, the area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2

1 4/8 - 7/8 what is the answer​

Answers

Answer:

0.875

Step-by-step explanation:

have a good day/night

may i please have banilliest

thank u

sorry if wrong

A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) Suppose that a random sample of 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods.

a. The normal approximation to the binomial
b. The exact binomial tables

Answers

my brain can't process this lol

Select the correct answer.
Which statement is true?
A.
The mean lies to the right of the median for a positively skewed distribution.
B.
The mean lies to the left of the median for a positively skewed distribution.
C.
The mean lies to the left of the median for a symmetric distribution.
D.
A distribution skewed to the right is said to be negatively skewed.
E.
A distribution skewed to the left is said to be positively skewed.

Answers

Answer:

The correct answer would be The mean lies to the left od the median for a positively skewed distribution

Step-by-step explanation:

Answer: The mean lies to the left odd the median for a positively skewed distribution

An equilateral triangle has a side length of 10 units. What is it’s area?

Answers

Answer:

[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.

The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]

5. chris is a school teacher who earns $32,000 for the 10-month school year. however, the salary is paid out in 12 monthly installments. how much does is the monthly paycheck? _________​

Answers

Answer:

$2666.66

Step-by-step explanation:

Yearly income = $32000

Each installment is 1/12 of a yearly income:

$32000/12 = $2666.66

Annual salary=32000

Monthly salary

32000/1216000/68000/3$2666.67

A 30%tip on a $50 haircut.​

Answers

Answer:

$15

Step-by-step explanation:

4 Does the equation y = x represent a function? Explain why or why not.

Answers

Answer:

y=x is a function!

Step-by-step explanation:

The reason it is a function is because it can create a:

A slope

A why y and x intercept

and a graph

Remember that x=1 and Y=1 ALWAYS

Select all the expressions that equal 4 x 106.

(2 x 108) (2 x 10-2)

40 x 105

1.2x10°

3x102

406

400,000

Answers

None of the choices equal 424

The length of a rectangle is 3 inches more than three times it's width. Write an equation relating the length, “, of the rectangle to its width, w.

Answers

An equation relating the length of the rectangle to its width would be, “l+3=w”. The length plus 3 inches would be equal to the width.

Select all the problems that can be solved by finding 4 x 5.

A- Harold had 5 quarters. He used 4 quarters to buy a pen. How many quarters
does Harold have left?

B -Alice put 4 quarters in each of 5 stacks. How many quarters did Alice have?

C -Kim bought 4 notebooks for a total of $5. How much did each notebook cost?

D- Kurt bought 4 books for $5 each. How much did he pay for all of the books?

E- Jen made 5 necklaces. She put 4 beads on each necklace. How many beads
did she use in all?

F- Matthew scored 5 baskets in his first basketball game. He scored 4 baskets in
his next game. How many baskets did Matthew score in these two games?

Answers

Answer:

answers b, c, d, and e are all correct

Answer:

B, D and e

please mark me brainliest

I need help with solving this equation.​

Answers

Answer:

66 m².

Step-by-step explanation:

From the question given above, the following data were obtained:

Diagonal 1 (d₁) = 11 m

Diagonal 2 (d₂) = 12 m

Area (A) =?

The area of a rhombus when the diagonals are given can be obtained as follow:

A = ½(d₁d₂)

A = ½ × (11 × 12)

A = ½ × 132

A = 66 m²

Thus, the area of the rhombus is 66 m²

What's 2+2 ?

First one to answer gets cash prize!

Answers

Answer:

4

(if this is a joke then the answer's 5, a fish, etc...)

Answer:

4

Step-by-step explanation:

Reflect across the x-axis. Then rotate the shape around point B' 120 degrees clockwise.​

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Reflection across the x-axis just changes the signs of the y-coordinates. Rotation -120° about B' is difficult to do by hand. The transformation rule for that is ...

  (x, y) ⇒ (x·cos(-120°) +y·sin(-120°), -x·sin(-120°) +y·cos(-120°))

  (x, y) ⇒ ((-(x-3) +(y+2)√3)/2 +3, (-(x-3)√3 -(y+2))/2 -2)

__

It looks like your problem is presented in GeoGebra, which makes reflection and rotation easy.

Solve for the value of a.

Answers

Answer:

7 will be the answer.

Step-by-step explanation:

The angles are complementary angles i.e their sum is 90°.

(5a+3)°+52°=90°

5a+55°=90°

5a=90°-55°

5a=35°

a=35°/5

a=7

PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Yes

Yes

No

No

Step-by-step explanation:


Please help and stop with the links!

Answers

It C)
This is because the sum of the two smaller sides in a triangle has to be larger than the bigger sides. 10+12=22.
22 is smaller than 24 which is the third side this no triangle is formed

1) Solve 2 + 7x + 12 = 0 using factoring and the zero product property.

a) Factor2+7x+12

b) Use the zero product property to solve for x







b) Use the zero product property to solve for x

Answers

Answer:

7x+14=0, 7x=-14, x= -2

Step-by-step explanation:

add like terms, then get x on one side, number on the other, then divide both sides by 7

6-4x+6(x-2) solve for x

Answers

6-4x+6x-12=0

2x-6=0

X= 3

Answer:

x=3

Step-by-step explanation:

6-4x+6(x-2)

6-4x+6x-12

-4x+6x=12-6

2x=6

x=3

A recent study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone.

Answers

complete question

study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving ( The Wall Street Journal , May 5, 2010). In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone.a. State the null and the alternative hypotheses to test the policy analyst’s objective.

b. Suppose a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. What is the value of the test statistic? What is the p-value?c. At α = 0.05 has the law been effective?

d. Repeat this exercise using the critical value approach with α = 0.05

Answer:

1. H0: p>=0.82

H1: p<0.82

2. z test statistic = -2.5767

3. the law has been effective

4. the null is rejected, the law has been effective

Step-by-step explanation:

1. hypothesis formulation

H0: p>= 0.82

H1: p< 0.82

2. p = 82% = 0.82

estimated p^ = x/n = 150/200 = 0.75

standard error calculation:

= √0.82(1-0.82)/200

= √0.82x0.18/200

= √0.02716615

Z test statistic calculation:

= 0.75-0.82/0.02716615

= -2.5767

3. this test is 1 tailed

the p-value using a p value calculator is = 0.004983

0.004983 < 0.05 so we Reject null and conclude that the law has been effective.

4. we Reject null at 0.05 if z is less than -1.645.

-2.5767<-1.645 so we Reject H0 and conclude law has been effective and there is a decrease in drivers under this age who use cell phones

Please help me figure out this math problem

Answers

It will have to be c because of the ay it moved


Given the diagram below, find the value of x.
A
14
B
X
с
30
The value
of x is?

Answers

Answer:

yes 11000

Step-by-step explanation:


!!WILL MARK BRAINLIEST!!

(08.01 MC)
Find the height of a square pyramid that has a volume
of 32 cubic feet and a base
length of 4 feet. (1 point)
1) 2 feet
2) 4 feet
3) 6 feet
4) 8 feet
Saved
Question 5 (1 point)
(OB.02 MC)

Answers

Answer:

4) 8

Step-by-step explanation:

Answer:

6 feet

Step-by-step explanation:

Formula: V=1/3Bh

V=1/3(4×4)6

V=1/3(16)6

V=1/3(96)

V=96÷3

V=32

(P.S.-The capital 'B' in the formula stands for the area of the square base)

Hope this helped :)

Answer these questions please i need to pass my grade but i dont know this

Answers

Ok guys don’t worry I will help you

Here’s a pic

First you got to find the area which is length x width x height.


I can’t attach two papers sorry but here’s the bottom

someone please help me answer this!!

Answers

Answer:

100 in is the answer.

Step-by-step explanation:

a = 60 in

b = 80 in

c = ?

According to the Pythagorean theorem,

a² + b² = c²

60² + 80² = c²

3600 + 6400 = c²

c² = 10000

c = 100 in

∴ the distance between the opposite corners of the bed is 100 in

Brainliest for both correct answers

Answers

Answer:

Question 1: A

Question 2: D

Step-by-step explanation:

I hope it helps

Last year, Lebron James made $22, 970,000. This year he made $26,440.000. How much did Lebron James make from both years together?

Answers

Answer:

49,410,000

Step-by-step explanation:

because calculator

Bro just add them together!
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