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Bumek [7]
2 years ago
5

Aubrey has $ -24 in her bank account. A store credits her account with a $10 refund. How much does she now have in the bank?

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
8 0
To get the answer you’ll need to add the $10 to the -24. After completing you’ll have the number -14. Glad to help :)
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What is the probability of making a type ii error when the machine is overfilling by .5 ounces (to 4 decimals)?
abruzzese [7]
Part A

The probability of making a type ii error is equal to 1 minus the power of a hypothesis testing.

The power of a hypothesis test is given by:

\beta(\mu')=\phi\left[z_{\alpha/2}+ \frac{\mu-\mu'}{\sigma/\sqrt{n}} \right]-\phi\left[-z_{\alpha/2}+ \frac{\mu-\mu'}{\sigma/\sqrt{n}} \right]

Given that the machine is overfilling by .5 ounces, then \mu-\mu'=-0.5, also, we are given that the sample size is 30 and the population standard deviation is  = 0.8 and α = 0.05

Thus,

\beta(16.5)=\phi\left[z_{0.025}+ \frac{-0.5}{0.8/\sqrt{30}} \right]-\phi\left[-z_{0.025}+ \frac{-0.5}{0.8/\sqrt{30}} \right] \\  \\ =\phi\left[1.96+ \frac{-0.5}{0.1461} \right]-\phi\left[-1.96+ \frac{-0.5}{0.1461} \right] \\  \\ =\phi(1.96-3.4233)-\phi(-1.96-3.4233) \\  \\ =\phi(-1.4633)-\phi(-5.3833)=0.07169

Therefore, the probability of making a type II error when the machine is overfilling by .5 ounces is 1 - 0.07169 = 0.9283



Part B:

From part A, the power of the statistical test when the machine is overfilling by .5 ounces is 0.0717.
7 0
3 years ago
PLZ HELP!!!! WILL MARK BRAINLEST IF CORRECT
OverLord2011 [107]

Answer: the answer is 54

Step-by-step explanation: The error in the expression was that it was multiplied by 1 so it can't be one unless it was also 1 and it's not it is 54.

8 0
2 years ago
A coin is being flipped 400 times. What is the probability of it landing on heads at most 170 times, rounded to the nearest tent
lisabon 2012 [21]

Hello!

We have two probabilities we can use; we have 170/400, for our experiment, and 1/2, which is our theoretical probability.

To solve, we just multiply the two probabilities.

\frac{170}{400}(1/2)=0.2125≈21.3

Therefore, we have about a 21.3% chance of this event occurring.

I hope this helps!

8 0
3 years ago
1. Write as a base with a positive exponent, then evaluate. Write your final answer as a
vodomira [7]

Answer:

Well a base with a positive exponent would be 5^3. All this means is 5x5x5 which is 125.

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
5t^2 - 5.5 - 3.5t + 1.5t^2 +4t
RideAnS [48]
The answer is 6.5t2+0.5t−5.5 , it’s simplified
8 0
3 years ago
Read 2 more answers
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