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Aleksandr-060686 [28]
3 years ago
7

An automated teller machine at a local bank is stocked with $10 and $20 bills. When a customer withdraws $40 from the machine, i

t dispenses either two $20 bills or four $10 bills. If two customers withdraw $40 each, how many outcomes are possible? Draw a tree diagram for this experiment.
Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0

Answer:

There are 4 possibilities

Step-by-step explanation

Each customer has 2 ways to receive the money. For each way, the other customer has 2 option, giving a total of 2*2 = 4. Here are the possibilities, separating in 2 different cases.

Case 1: customer 1 withdraws 2 $20 bills

option 1.1: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 2 $20 bills

option 1.2: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 4 $10 bills

Case 2: customer 1 withdraws 4 $10 bills

option 2.1:  customer 1 withdraws 4 $10 bills AND customer 2 withdraws 2 $20 bills

option 2.2: customer 1 withdraws 4 $10 bills AND customer 2 withdraws 4 $10 bills

options 1.1, 1.2, 2.1 and 2.2 give us a total of four ways for the customers to retrieve thier money.

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Answer:

From the result of the one-tailed z-test, we can conclude that the mean waiting time is not significantly less than the the 15 minute claim by the taxpayer advocate.

Step-by-step explanation:

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Standard deviation = 11 minutes

We need to perform one hypothesis test that the actual mean waiting time turned out to be significantly less than the 15-minute claim made by the taxpayer advocate.

The null hypothesis would be that there is no significant difference.

H₀: μ₀ = 15 minutes

The alternative hypothesis would be that the mean waiting time is indeed significantly less than the 15-minute claim by the taxpayer advocate.

Hₐ: μ₀ < 15 minutes.

This is evidently a one tail hypothesis test (we're investigating only in one direction; less than the claim). Hence, we can use the z-test

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σₓ = (σ/√n) = (11/√50) = 1.556

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Since the p-value is more than the significance level (0.0885 > 0.05), we do not reject the null hypothesis.

Hence, we accept the null hypothesis and can conclude that the mean waiting time is not significantly less than the the 15 minute claim by the taxpayer advocate.

Hope this Helps!!!

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