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ycow [4]
1 year ago
12

A company that produces computers recently tested the battery in its latest laptop in six separate trials. The battery lasted 8.

23,7.89,8.14,8.25,8.30, and 7.95 hours before burning out in each of the tests. Assuming the battery duration is normally distributed, construct a 95% confidence interval for the mean battery life in the new model. Multiple Choice [7.9490, 8.3044] [7.9575, 8.2959] [7.9873, 8.2661] [7.9912, 8.2622]
Mathematics
1 answer:
Anna35 [415]1 year ago
8 0

confidence interval for the mean battery life in the new model is [7.9489, 8.3045].

What is confidence interval ?

A confidence interval, in statistics, refers to the chance that a population parameter can fall between a collection of values for an exact proportion of times.

Main body:

Formula for confidence interval is =

CI = x- bar ± z*s/√n            where,

CI = confidence interval

x- bar = sample mean

z = confidence level value

{s} = sample standard deviation

{n} = sample size  

given ;

n = 6

mean = (8.23+7.89+8.14+8.25+8.30+ 7.95)/6

         =  8.127

value of z for 95% C.I. = 1.96

C.I. = 8.127 ± 1.96 * 0.22/√6

C.I. = 8.127 ± 0.1781

C.I. =[7.9490, 8.3044]

Hence correct option is A.

To know more about confidence interval , visit:;

brainly.com/question/15712887

#SPJ4

         

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Ostrovityanka [42]

Answer:

no they are not equivalent

Step-by-step explanation:

0.4/15 = 0.026

so for every minute they travel 0.026km

0.6/20 = 0.03

so for every minute they travel 0.03km

so they are not the same/equivalent

6 0
3 years ago
Can y’all help please
IRISSAK [1]

Answer:

x=square root 63. Basically the radical 63.

Step-by-step explanation:

So in the first triangle with the 3 in it. You have root 3 and use the a^2 +b^2=c^2 formula. So 3^2 + 3^2= x^2 and then when you solve you get radical 18^2 which is equal to radical 18 or square root 18. Then we go to the bigger triangle and we do the same formula but this time we have the c value which is 9. So we do radical 18^2 + x^2 = 9^2 and then solve that and minus 18 from the 81 since the radical goes off the 18 and you get square root63.

Sorry i couldn't use the signs. Sorry If I'm wrong Hope this helps!.

4 0
2 years ago
there are 4 performers who will present their comedy acts this weekend at a comedy club. how many different ways are there to sc
DiKsa [7]
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8 0
3 years ago
Find the value of x for which 2x ^(1/ 2) = 32.
Mrac [35]

Answer:

The value of x will be 8    

Step-by-step explanation:

We have given that 2\sqrt{x}=32

We have to find the value of x

As 2\sqrt{x}=32

For finding the value of x we have to square both side

On squaring both side

We done squaring both side for easy simplification

4x=32

So x = 8

So the value of x will be 8

So answer will be 8

5 0
3 years ago
60 points !! i'll mark brainliest as well . don't scam or i'll report thanksss :)
sp2606 [1]

Answer:

2, 6, 28, 358.01

Step-by-step explanation:

We have to find the fractions of whole numbers.

Number 1:

\frac{1}{5} of 10 = \frac{1}{5} \times (2 \times 5) = 2 (Answer)

Number 2:

\frac{2}{3} of 9 = \frac{2}{3} \times (3 \times 3) = 2 \times 3 = 6 (Answer)

Number 3:

\frac{7}{8} of 32 = \frac{7}{8} \times (4 \times 8) = 7 \times 4 = 28 (Answer)

Number 4:

3 \times 10^{2} + 5 \times 10^{1} + 8 \times 10^{0} + 1 \times \frac{1}{10^{2} }

= 3 \times 100 + 5 \times 10 + 8 \times 1 + \frac{1}{100} {Since a^{0} = 1}

= 300 + 50 + 8 + 0.01

= 358.01 (Answer)

4 0
3 years ago
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