Question

The average salary of a sample of 14 teachers in a school building with a Master...

The average salary of a sample of 14 teachers in a school building with a Master Degree is $32,741 with a standard deviation of $5 800.  A sample of 12 teachers in the same building without Master Degrees have an average salary of $27,839 with a standard deviation of $7400. At the 0.01 significance level, do teachers with Master Degrees have higher salaries?

a.   State the null and alternate hypotheses.

              Ho :                                                                                                                 H1:

  1. State the decision rule.

  1. Compute the value of the test statistic.

   

                        

d.   Compute the p-value.

                                    

e.    What is your decision regarding the null hypothesis?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The Allegheny County, Pennsylvania school district states that the average salary of substitute teachers in school...
The Allegheny County, Pennsylvania school district states that the average salary of substitute teachers in school districts in Allegheny County, Pennsylvania, is $60 per day. A disgruntled teacher believes the salary is actually less than this amount. A random sample of five school districts is selected, and the daily salaries (in dollars) are shown. Based on the evidence below, does it look like the disgruntled teacher is correct? Note: In your summary statement, remember to comment on the italicized phrase....
The Allegheny County, Pennsylvania school district states that the average salary of substitute teachers in school...
The Allegheny County, Pennsylvania school district states that the average salary of substitute teachers in school districts in Allegheny County, Pennsylvania, is $60 per day. A disgruntled teacher believes the salary is actually less than this amount. A random sample of five school districts is selected, and the daily salaries (in dollars) are shown. Based on the evidence below, does it look like the disgruntled teacher is correct? Note: In your summary statement, remember to comment on the italicized phrase....
26. The Allegheny County, Pennsylvania school district states that the average salary of substitute teachers in...
26. The Allegheny County, Pennsylvania school district states that the average salary of substitute teachers in school districts in Allegheny County, Pennsylvania, is $60 per day. A disgruntled teacher believes the salary is actually less than this amount. A random sample of five school districts is selected, and the daily salaries (in dollars) are shown. Based on the evidence below, does it look like the disgruntled teacher is correct? Note: In your summary statement, remember to comment on the italicized...
Salary data from two random samples of high school teachers are shown to the right. Also...
Salary data from two random samples of high school teachers are shown to the right. Also shown are the population standard deviations. Construct a 90% confidence interval to estimate the difference in the average salaries of the high school teachers in these two states. b. Based on the results in part? a, can you conclude that a difference exists in the average? salaries? state A state B sample mean 52,236 57,231 sample size 43 49 population standard deviation 6207 6671...
Solve in steps The mean yearly salary for high school teachers in Texas is $48,723. Suppose...
Solve in steps The mean yearly salary for high school teachers in Texas is $48,723. Suppose that a random sample of 50 teachers in a specific district has a mean offer of $49,840 and a standard deviation of $3700. Do the sample data provide strong support for the claim that mean salary for the district is higher than the state average? Test the relevant hypotheses using a = 0.05 Step 1: Null Hypothesis and Alternative Hypothesis Step 2: Value for...
A teacher claimed that the average salary for teachers in her state is lower than the...
A teacher claimed that the average salary for teachers in her state is lower than the other states. She created a survey and found that in her state 81 teachers were making an average salary $42,000 per year with a sample standard deviation of 2,500. Using that sample, test the claim that teachers in her state are making less than the national average of $45,000. Use a 0.01 level.
Statistic An educator claims that the average salary of substitute teachers in school districts is less...
Statistic An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample of 8 school districts is selected, and the daily salaries are 60, 56, 60, 55, 70, 55, 60, and 55. Is there enough evidence to support the educator’s claim at 10% level of significance? (HELP: The sample mean is 58.88, and the sample standard deviation is 5.08)    A ) State the hypotheses and identify the claim....
An educator claims that the average salary of substitute teachers in school districts in NC earn...
An educator claims that the average salary of substitute teachers in school districts in NC earn less than $82 per day. A random sample of twelve districts is selected, and the daily salaries are given below. With α = 0.10, is there enough evidence to support the claim? Please show all steps. 89 75 90 77 60 100 75 85 80 100 75 85 Identify the Null Hypothesis: Identify the Alternate Hypothesis: Work: Please show formula
An audit firm thinks that the average annual salary of a senior level accountant at a...
An audit firm thinks that the average annual salary of a senior level accountant at a construction company exceeds $95,000. A random sample of 28 accountants in similar roles reveals an average salary of $96,000 with a sample standard deviation of $1500. Assume the salaries of the managers are normally distributed. (alpha = 0.10)   State the Null Hypothesis: State the Alternate: State the significance level & one or two tailed: State the statistic: State the Decision Rule: Perform the Calculation...
8 Suppose the average high school teachers annual salary is $53,000. Assume teacher salary is normally...
8 Suppose the average high school teachers annual salary is $53,000. Assume teacher salary is normally distributed with a standard deviation of $19,000. What percent of high school teachers make between $51,000 and $55,000