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erma4kov
9 days ago
13

Batteries R Us is a manufacturer of batteries and are testing a new production technique for their most popular battery type. It

is known that the mean lifetime of these batteries made using the previous production technique was 69 hours. The standard deviation in battery lifetime is 5.0 hours and it is assumed that this has not changed. They would like to know whether mean battery lifetime has increased with the new production technique. The following sample data of battery lifetimes has been collected from a random sample of 40 batteries made using the new manufacturing technique.
Battery lifetimes (hours)
82.5 78.4 80.2 78.7 67.8 76 74.8 73.9 68.8 70.3 70.7 70.7 77.9
80.5 73.8 80.979.2 74.173.2 76.1 69 73 70.9 63.3 67.8 78.5 68.7
67.5 68.2 68.2 73.3 75.4 73.2 72.2 72.6 72 71.3 69.9 69.6 70.4

Required:
a. Conduct a hypothesis test to test whether the new manufacturing process has increased mean battery lifetime.
b. Calculate the test statistic.
Mathematics
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Response:

Detailed explanation:

The length of the pool is longer than its width by 8 meters.

If we designate L as length and W as width, we can express this as:

L = 8 + W

We also know that the area amounts to 105 m squared.

Note:

Area of a Rectangle = Length x Width

Thus, 105 = (8 + W) x W

105 = 8w + w^2\\

To adjust the equation, subtract 105 from both sides:

w^2 + 8w - 105 = 0

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3 months ago
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6d + 20b = 150 d=5 b=6
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1 month ago
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The sum of four consecutive odd numbers is 368 find the numbers​
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Answer:

The four odd numbers in sequence are 89, 90, 91, and 93.

Step-by-step explanation:

Designate the four consecutive numbers as x, x+2, x+4, and x+6.

Based on the information given in the question

x + (x + 2) + (x + 4) + (x + 6) = 368

4x + 12 = 368

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2 months ago
If I calculate the probability of an event and it turns out to be -0.7, 1
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Isabella built a time travel machine, but she can't control the destination of her trip. Each time she uses the machine she has
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The likelihood that at least one trip occurs before Isabella's birth is 0.7627.

Step-by-step explanation:

In this scenario, Isabella has invented a time machine, but she lacks control over where she travels. Each use of the device holds a 0.25 probability of leading her to a time preceding her birth. Over the initial year of trials, she operates her machine 5 times. If we assume every journey has an equal chance of going back in time, we can calculate the odds that at least one of these trips occurs before she was born. Here's the calculation:

The probability of traveling to a time prior to her birth is 0.25.

The chance of not traveling back in time, given that the machine is used 5 times:

⇒ (1-0.25)(1-0.25)(1-0.25)(1-0.25)(1-0.25)

⇒ (1-0.25)^5

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The probability that at least one trip goes before Isabella's birth is equal to 1 minus the probability of not traveling back to that period:

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