Question

Asked Jun 22, 2019

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- The state superintendent of schools consistently states that the average salary of all substitute teachers in every school district is at least $60 per day. So she samples eight school districts to help her test her claim. The daily salaries she found for the district where $60 $56 $60 $55 $70 $55 $60 $55
- What statistical test should be performed? Should the test be one sided or two?
- Which conditions has to be satisfied for the test that we do not have to check for the test proportions
- Write two hypotheses for the problem
- Make a sketch of the distributions indicating the test statistic and P.
- Compute the appropriate statistical test and report the test statistics and associated p-values
- In the context of the problem, write a conclusion to the study and substantiate your conclusion using statistical arguments. Use an alpha level of 0.05
- Find a 95% confidence interval for the true daily salary based on the data.

Step 1

Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

1.Here, the average salary of all substitute teachers in every school district is required to be tested. The sample size is 8. The population standard deviation is unknown.

Step 2

2.Since the population standard deviation is unknown and the sample size is small, the appropriate test to test the mean is one sample ** t-test** with n-1 degrees of freedom.

The test is **one-sided **(left-tailed).

Step 3

3.The **conditions** that have to be satisfied to test the mean using one sample *t*-test are:

- The sample is drawn from a ...

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