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Reptile [31]
3 years ago
10

A well known bank stores enough money during the weekends to satisfy its customers needs. The expected average withdrawal during

the weekend is $550 with a standard deviation of $70. When they looked at a sample of the last 36 weekend transactions, they found the average withdrawal to be $600. At α=0.05, is there evidence that the mean withdrawal has increased during weekends? (Z0.05=1.645, Z0.025=1.96)
Business
1 answer:
Alexxx [7]3 years ago
3 0

Answer:

The mean withdraw has increased during weekend.

Explanation:

Assume that the withdraw amounts are normal distributed. To test whether the mean withdrawal has increased during weekends, we take a z-test. The z-test is possible because the observed sample (weekend transactions) is greater than 30.

The null hypothesis (H_{0}) is when the mean withdrawal is greater than 550. The alternative hypothesis (H_{A}) is when the mean withdrawal is equal to 550 or smaller. At an alpha of 0.05% is selected with a two-tailed test, , there is 0.025% of the samples in each tail, and the alpha has a critical value of 1.96 or -1.96. If the z-value is greater than 1.96 or less than -1.96, the null hypothesis is rejected.

z-value = (600-550) / 70 / 36^(1/2) = 0.1190

At α=0.05, the z-value < 1.96 and > -1.96, the null hypothesis is not rejected. Therefore, the mean withdraw has increased during weekend.

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<h3>What is a Surgical incision?</h3>

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Read more about Surgical incision

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