2. The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batteries is subjected to an accelerated life test by running them continuously at an elevated temperature until failure, and the follow­ ing lifetimes (in hours) are obtained: 25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7. a. The manufacturer wants to be certain that the mean battery life exceeds 25 h. What conclusions can be drawn from these data (use a= 0.05)? b. Construct a 90% two-sided confidence interval on mean life in the accelerated test.

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Assuming a normal distribution :

Sample (x) :25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Null hypothesis : μ = 25

Alternative hypothesis : μ > 25

α = 0.05

Decision region :

Reject Null if :

t0 > t

t can be obtained from the t distribution table at : df = (n - 1) = 10 - 1 = 9 ; α = 0.05

Hence, t(0.05, 9) = 1.833

From the sample given ; t0

t0 = (m - μ) / (s /√n)

n = sample size = 10

s = sample standard deviation

m = sample mean

Using calculator :

25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Sample mean(m) = 26

Sample standard deviation (s) = 1.624

t0 = (26 - 25) / (1.624 /√10) = 1.947

1.947 > 1.833

Hence, reject Null

B)

Confidence interval at 90% ; α = 0.1

m ± t(0.1/2 ; 9) * s/√n

m - t * s/√n ≤ μ ≤ m + t * s/√n

26 - 1.833 * (1.624/√10) ≤ μ ≤ 26 + 1.833 * (1.624/√10)

25.059 ≤ μ ≤ 26.941


Related Questions

(-12,8), (9,1)
What is the point-slope form of the equation of the line?

Answers

Answer:

y-y1 = m (x-x1)

where

m is the slope

and (x1,y1) is one of the points given.

You have been given 2 points (-12,8) and (9,1). You can call one of them (x1,y1) and the other (x2,y2). It doesn't matter which one is which.

But before we go further, we need to determine the slope.

We can do this from the points as well.

y2-y1

m = ---------

x2-x1

Let's say

(x1,y1) = (-12,8)

(x2,y2) = (9,1)

This gives us a slope of

y2-y1 1-8 -7 -1

m = --------- = ---------- = ---- = ---

x2-x1 9-(-12) 21 3

Now that we have everything we need

y-8 = (-1/3)[x-(-12)]

Distribute the -1/3

y-8 = (-1/3)x -4

If we add 8 to both sides we have the equation in the slope intercept form (y=mx+b)

y = (-1/3)x + 4

Seven friends bought pizza. Each friend pitched in the same amount. If the pizza came to a total of $14.49, how much did each friend pay?

Answers

each friend payed $2.07

Answer: 7p = $14.49

Step-by-step explanation: BRAINLIEST MEEE

I need your help! there’s a photo above ^^

Answers

Answer:

1. c 2.  No, its not the original figure. Its 270 degree turn.

Step-by-step explanation:

Answer:

1.) C 2.) choice d flipped left to right.

Janine opens a savings account with a deposit of $850. The account pays 1.75% interest,
compounded daily. What is the first day's interest? Round to the nearest cent.

Answers

Answer:?????

Step-by-step explanation:

Determine the mode of the following data set:
21, 45, 44, 21, 40, 67, 93

Answers

Answer:

21 is the mode

Step-by-step explanation:

a mode is the number in a set that occurs the most and 21 is the number that appeared the most in this set

The actual volumes of quart-size jars of Hellmann's mayonnaise are uniformly distributed from 31.58 to 32.51 fluid ounces. Find the standard deviation in volumes of quart-size Hellmann's mayonnaise jars (in fluid ounces). NOTE: There are 32 fluid ounces in a quart.

Answers

Answer:

0.27

Step-by-step explanation:

The standard deviation of a uniform distribution is:

σ² = (b − a)² / 12

σ² = (32.51 − 31.58)² / 12

σ² = 0.0721

σ = 0.268

Rounded to the hundredths place, the standard deviation is 0.27.

To solve this question, we use concepts of the uniform probability distribution.

Using this, we get that the standard deviation in volumes of quart-size Hellmann's mayonnaise jars is of 0.2685 fluid ounces.

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The standard deviation is:

[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]

The actual volumes of quart-size jars of Hellmann's mayonnaise are uniformly distributed from 31.58 to 32.51 fluid ounces.

This means that [tex]a = 31.58, b = 32.51[/tex]

Find the standard deviation in volumes of quart-size Hellmann's mayonnaise jars (in fluid ounces).

[tex]S = \sqrt{\frac{(32.51 - 31.58)^2}{12}} = 0.2685[/tex]

Thus, the standard deviation is of 0.2685 fluid ounces.

A similar example is given at https://brainly.com/question/15855314

Anyone have the guided notes answers from this point up to the unit test ? Geometry A

Answers

Answer:

vvhcfggfcc

Step-by-step explanation:

ccgvvhhh I don't I need more points buddy

how can I do this someone explain me

Answers

Answer:  Converse: If the candy has 350 calories, the candy is chocolate, False. There is another 350 calorie candy.

Inverse:  If the candy does not have 350 calories, the candy is not chocolate. True In this case, the evidence in the chart supports this. The inverse is not always true.

Contrapositive: If the candy does not have 350 calories, the candy is not chocolate. True   The evidence in the chart supports this statement, and the Contrapositive is generally considered a logical equivalent of the original.

Step-by-step explanation:

You need to have a basic frame for converting the original statement to the other forms such as

Original: If P, then Q

Converse: If Q, then P      Just reverse the parts

Inverse: If not P then not Q In the same order, make both negative, add "not"

Contrapositive: If not Q then not P Reverse the order of the original and make both negative.  

What is the slope of the line that passes through points (-3,5) and (11,5)

Answers

Answer:

slope = -3/14

Step-by-step explanation:

y1  - y2 / x1 - x2

They gave you one value, two total coordinates

5-5 = 1

-3 - 11

-14

1/-14

y=1/-14 + b

11= 1/-14(-3) + b

11 = -3/14 + b

17 + 14

b = 15 3/14

What is the equation of the line that is perpendicular to and has the same y-intercept as the given line

Answers

Answer:

y = 5x + 1

Step-by-step explanation:

Visually you can see the slope is -1/5, perpendicular just means opposite inverse so -1/5 becomes 5. Line crosses the y-intercept at point (0, 1).

y = mx + b

y = 5x + 1

Answer:

C.

Step-by-step explanation:

Just took the test

what is the answer? pls help

Answers

Answer:

for the line to have a constant slope, the difference of every y- ordinate with the last ordinate has to be equal

to check this, we will use the following formula

y4 - y3 = y2 - y1  

if both the LHS and the RHS are equal, the slope is constant and is irregular otherwise

5 - 8 = 7 - 3

-3 = 4

LHS ≠ RHS

Since LHS is not equal to RHS, the slope is NOT constant and hence keeps increasing or decreasing irregularly

Therefore, option 4 (Not a line) is correct

Answer:

it is not a constant line

Step-by-step explanation:

each x value increases by 1, but the y values are all over the place and are in no order.

At pizza express it takes 6 cups of cheese to make 15 pizzas. At perfect pizza it takes 4 cups of cheese to make 6 pizzas. If the number of pizzas,y,is proportional to the cups of cheese,x, which pizza place has a larger constant of proportionality?

Answers

Pizza Express has a larger constant of proportionality than Perfect Pizzas because 1.6 > 1.5

15/6        6/4

  Simplify

5/3    >    3/2

PE: 5/3 or 1.6

PP: 3/2 or 1.5

I had this on my math test

THIS IS ALGEBRA 1 PLEASE HELP IM IN MIDDLE SCHOOL

Answers

Answer:

1.80 + 3.72 (0.25 x b) = 13.02

Step-by-step explanation:

First, combine the "one-time" costs (the medium pendant and the medium chain)

1.80 + 3.72 = 5.52

Now, multiply the cost of the beads by the amount of beads you want

0.25 x 30 = 7.50

Now combine both costs to get the total cost

5.52 + 7.50 = 13.02

It would cost Tamara $13.02 to make a medium length necklace

Please help me on this question ASAP if you do ill give you brainliest!

Answers

Answer:

7. 2/3   8. 1 1/13 9. 1 3/5   10. 1 17/19    11. 1 16/19   12. 22.63    13. 4 20/39  14.2 16 /145  15. 1 25 /62

Step-by-step explanation:

To divide fraction, flip the second fraction then multiply.
If it is a mixed fraction, convert the mixed fraction first. Then follow the rule for dividing fractions

7. 24/55
8. 1 1/13
9. 1 3/5
10. 1 17/19
11. 1 16/19
12. 22/63
13. 4 20/39
14. 2 11/20
15 . 2 16/145

Hello Please Answer Quickly:

Answers

Answer:

17 1/30

Step-by-step explanation:

Answer:

The answer is 1/6.

53/6 is the largest and -26/3 is the smallest.

please help :D I understand them but I need someone to check them :)

Answers

So what you need help with like or we supposed to solve them ?

The statement "If a = 6, then 6 = a." illustrates which property?

Answers

Answer

Symmetric law

Step-by-step explanation:

This means that even if you swap the numbers the answer stays the same.

HOPE IT HELPED

HAVE A GOOD NIGHT/DAY

Identify all the numbered angles that are congruent to the given angle.
Justify your answers.

Answers

Answer/Step-by-step explanation:

The reasons for the stated numbered angles that are congruent to the given angles are written in the parentheses as follows:

7. <7 ≅ 65° (alternate interior angles)

<4 ≅ 65° (corresponding angles)

<1 ≅ 65° (vertical angles)

8. <4 ≅ 51° (alternate interior angles)

<5 ≅ 51° (corresponding angles)

<7 ≅ 51° (vertical angles)

9. <1 ≅ 120° (corresponding angles)

<3 ≅ 120° (alternate angles)

The record low temperature in Pittsburgh, PA is ​-22°F. The record high is 103°F. What is the difference in the record high and the record low temperatures?

Answers

Answer:

The difference in the record high and the record low temperatures is 125°F

Step-by-step explanation:

Given a quantity T that varies in time, say T1 and T2, being T1 the initial value and T2 the final value.

The change or difference between the final and the initial values is:

T=T2-T1

The record low temperature in Pittsburgh, PA is T1=-22°F while its record high is T2=103°F

The difference is:

T=103°F - (-22°F)

Note both negative signs multiply to produce a positive sign, and a sum instead of a subtraction:

T=103°F + 22°F = 125°F

The difference in the record high and the record low temperatures is 125°F

You had planned to go out for pizza with your friends Saturday night. You’ve all gathered at your place but when you’re about to leave, it starts to snow heavily, so you decide to have a pizza party at your place. The pizza delivery guy shows up with your order much sooner than you expected. The bill is $133.32. How much would you tip him? Explain your reasons for deciding how much to tip.

Answers

Answer:

$20

Step-by-step explanation:

the delivery guy show up early and that guy deserve 20bucks

what are the coordinates of (4,-3) after a translation 3 units right and 6 units up

Answers

Answer:

(7,3)

Step-by-step explanation:

I need help with this :/

Answers

Answer:

Plz mark me brainliest!!!!

Step-by-step explanation:

0

90

180

270

380

Can you help plz I need this

Answers

Answer:

110 square cm

Step-by-step explanation:

Answer:

i think it's c. 110 cm

Step-by-step explanation:

hope you pass your test ;)

solve equation with variable on both sides
2(3r-4)=4r=3

Answers

Step-by-step explanation:

your problem can't have two equal however if you mean 2(3r-4)=4r + 3 its equal to 11/2. but if you mean 2(3r-4)=4r(3) its equal to -4/3

six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and nathans entire collection add up to 31 books

Answers

Answer:

j = 21 and n = 14

Step-by-step explanation:

we have the equations:

6j + n/3 = 134

j/3 + n = 31

54j + 3n = 1206

j + 3n = 93

53j = 1113

j = 21

(21)/3 + n = 31

7 + n = 31

n = 14

Need Help please i will mark brainliest when it lets me

Answers

Answer:it’s the second one

Step-by-step explanation:

Answer:

the 2nd one

Step-by-step explanation:

I asked my brother and he said it was that one

4) 41 25h+6
十十十十十十十十十十十十十>
3210 12 3 4 5 6 7 8 9

Answers

Step-by-step explanation:

buena suerte con todo....

What is the domain of this function?​

Answers

Domain = inputs = x = { 1 , 2 , 3 }

Range = outputs = y = { 2 , -1 }

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Of the 1,400 students enrolled at Berkmar Middle School, 40% of students enrolled are in the 6th grade. How many students are enrolled in 6th grade? Show your work.
ASAP

Answers

Answer:

3500

Step-by-step explanation:

1400 divided by 40% = 3500

Estimate the total of 3,933+790+3,528+1,830 by adding the numbers and then rounding the result to the thousands place.

Answers

Answer:

The answer to your problem is 10000

Answer: 11,000

Step-by-step explanation:

Rounding to the nearest thousand first gives us,

4,000+1,000+4,000+2,000=11,000.

Other Questions
A scale model of the titanic is 107.5 inches long and 12.25 inches wide. The titanic itself was 882.75 feet long. How wide was it? PLEASE HELP!? Show all work to multiply (6+-64)(3--16) IM SO CONFUSED. Which statement correctly explains whether or not the values in the table represent a function of x Which of the following lists is in order from smallest to largest?0.05, 0.2, 0.48, 0.60.2, 0.05, 0.48, 0.60.2, 0.48, 0.05, 0.60.05, 0.2, 0.6, 0.48 WHO EVER SAYS IT FIRST GETS 100 POINTS I WILL MARK BRIANLyESTJose needs to know if the triangle shown is a right triangle. Which equation should he use to help?Group of answer choices11 + 5 = 13Square root of 5 dived by square root of 11= square root of 135^2+11^2=13^25^3-11^2=13^2 A hot air balloon is descending at a rate of 6.75 feet per second.What is the change in the balloon's height after 3 seconds? In what way did Tarquin's rule influence the founding of the republic? which equation is equivalent to (r/s)(6) Why did Rousseau favor individuals making social contracts with each other?A.)He believed governments created unequal societies.B.)He believed governments restricted speech and religion.C.)He believed people needed more than a government could offer.D.)He believed people should govern collectively. Please help me on this question ASAP if you do ill give you brainliest! HELPPPP PLEASEEMost S-waves from an earthquake disappear at a distance of about 11,500 kilometers from the epicenter of the earthquake. Explain why this occurs in terms of structure of Earth's interion. In which of the following cell structures are the Drosophila chromosomes(DNA) located?A. LysosomesB. NucleusC. RibosomesD. Vacuole What is the time signature of the songWhat is the key of the song?What is the first/last note of the songWhat is the first/last so-fa syllable ofWhat kind of notes and rests are founVhat kind of note is found on the firshat is the value of a dotted half noteich rest receives the greatest valueat is the song all about? The width of a slot of a duralumin forging is (in inches) normally distributed with = 0.9000 and = 0.0030. The specification limits were given as 0.9000 0.0050. Show your calculations. Draw normal curves wherever appropriate.a) What percentage of forgings will be defective?b) What is the maximum allowable value of that will permit no more than 1 in 100 defectives when the widths are normally distributed with = 0.9000 and (revised value)? Does the number of molecules change when a substance changes state? Someone plesss help me Jonathan is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months. Write an equation for c in terms of t representing the total cost of the gym membership over t months. whats the answer 3 x + 7 = 19 1. Which of the following sentences demonstrates correct pronoun-antecedent agreement?A. Lucy would not explain to her parents what her dreamed about last night.B. When I went to the store, me found that there was not any frozen pizza.C. Charlie waited for his brother Diego to pick he up from school for a movie.D. I asked Marcus to tell me when the kittens would be ready to take home. DOES ANYONE KNOW HAW TO DO STEM-CHANGING VERBS FOR SPANISH 2