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erik [133]
4 years ago
12

Ms. Maple is a teacher whose salary is $22,570 for this school year, which has 185 days. In Ms. Maple’s school district, substit

ute teachers are paid $80 per day. If Ms. Maple takes a day off without pay and a substitute teacher is paid to teach her classes, how much less does the school district pay in salary by paying a substitute teacher instead of paying Ms. Maple for that day?
Mathematics
1 answer:
cestrela7 [59]4 years ago
3 0
$122 per day, so they save $42 by paying the substitute instead of a normal teacher.
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Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

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Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

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Alternate: H_{a} = 3

The test-statistic is given by:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that n = 100

3 tested at the null hypothesis

This means that \mu = 3

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that X = 3.1

The population standard deviation is known at 0.5 minutes.

This means that \sigma = 0.5

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is z = 2.

The p-value is

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z = 2 has a pvalue of 0.9772

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At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

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Answer:

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