Scenario: A researcher believes that elementary school teachers who are women earn less than theirmale counterparts. She collects data from elementary school teachers and finds that among arandom sample of 100 teachers who are women, the mean yearly salary is $57,600 with a standarddeviation of $1,000. The mean salary for a random sample of 225 elementary school teachers whoare men is $58,800 with a standard deviation of $1,100. Conduct a hypothesis test to assess theresearcher's claim.Question: What are the assumptions for this hypothesis test? (Select all that apply)The sample(s) are large (n>30).The dependent variable is categoricalThe dependent variable is quantitativeThe sample(s) were not collected at random.The shape of the population distribution(s) is unknown.There is one random sample.The population distribution(s) have a normal shape.The population distribution(s) have a non-normal shape.There are two independent random samples.The sample(s) are small (n<30).

To find: What are the assumptions for this hypothesis test? (Select all that apply)

Answered: Scenario: A researcher believes that…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A local business offers test-taking courses for students who are planning to take the Graduate Record Examination (GRE) as part of their graduate school applications. The business promises to produce student test scores that are above the national average. You collect a random sample of 75 local students who have taken the course and calculate that their average GRE score is 1630 with a standard deviation of 320. The average GRE score for all students in the nation is 1590. Conduct a significance test at a=.05 to answer the research question: Does the course significantly improve local student GRE scores? What are the test requirements/assumptions for this significance test? Check all that apply. Random Sample Normal Sampling Distribution Interval-ratio variable of GRE scores With an alpha of .05, what is your critical score?
Community college instructors' salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The national mean is $45,661, but instructors from Mississippi claim that the mean in their state is significantly lower. They survey a simple random sample of 61 colleges in the state and calculate a mean salary of $43,024 with a standard deviation of $13,132. Test the instructors' claim at the 0.05 level of significance. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
The Chartered Financial Analyst (CFA) designation is fast becoming a requirement for serious investment professionals. Although it requires a successful completion of three levels of grueling exams, it also entails promising careers with lucrative salaries. A student of finance is curious about the average salary of a CFA charterholder. He takes a random sample of 36 recent charterholders and computes a mean salary of $129,000 with a standard deviation of $22,000. Use this sample information to determine the 99% confidence interval for the average salary of a CFA charterholder. (You may find it useful to reference the t table. Round final answers to the nearest whole number.) Confidence interval
In a sample of 80 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1580 with a standard deviation of $350. In a sample of 80 trips taken by the employees in the sales department is $1750 with a standard deviation of $550. When testing the hypothesis that the averageamount spent on trips taken by the salesepartment are higher than those taken by the HR department, if the test statistic is 2.33 and the critical value is 1.96 then what is your conclusion concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis
A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,722. Suppose that a random sample of 50 accounting graduates at a large university who received job offers resulted in a mean offer of $49,870 and a standard deviation of $3900. Do the sample data provide strong support for the claim that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722? Ho: μ = Ha: (Put in the correct symbol and value) ✓ Select an answer a not = P-value: = ↑ Based on the above we choose to Select an answer Question Help: Post to forum Submit Question
The College Board reports that the scores on the math SAT were normally distributed with a mean of 525. A random sample of 15 students at your high school had a mean of 550 and a sample standard deviation of 105. What values of the sample mean would lead to rejection of the null hypothesis at the 0.01 level of significance?
In a particular year, registered nurses earned an average annual salary of $52,330. A survey was conducted with 48 nurses from a particular state to determine if the annual salary is higher than $52,330 for that state's nurses. The sample average was $61,599 with a sample standard deviation of $7,489. Conduct a hypothesis test at the 5% level.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to the…
An economist is studying salaries for high technology companies and wants to test the claim that the average salary for high tech employees is less than $70,000. The economist selects a sample of 35 random employees from various high tech companies and records their salaries. Based on past studies, the economist determines that the population standard deviation is $8,500. The economist conducts a one-mean hypothesis test at the 5% significance level to test the claim that the average salary for high tech employees is less than $70,000. Which is the correct setup for the null and alternative hypothesis for this example? Select the correct answer below: H0:μ=70,000; Ha:μ<70,000, which is a left-tailed test. H0:μ=70,000; Ha:μ>70,000, which is a right-tailed test H0:μ<70,000; Ha:μ=70,000, which is a left-tailed test. H0:μ>70,000; Ha:μ=70,000, which is a left-tailed test.
A local business offers test-taking courses for students who are planning to take the Graduate Record Examination (GRE) as part of their graduate school applications. The business promises to produce student test scores that are above the national average. You collect a random sample of 75 local students who have taken the course and calculate that their average GRE score is 1630 with a standard deviation of 320. The average GRE score for all students in the nation is 1590. Conduct a significance test at a=.05 to answer the research question: Does the course significantly improve local student GRE scores? STEP ONE: What are the test requirements/assumptions for this significance test? Check all that apply. Group of answer choices a) Random Sample b) Normal Sampling Distribution c) Interval-ratio variable of GRE scores d) No answer text provided.
A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,722. Suppose that a random sample of 50 accounting graduates ata large university who received job offers resulted in a mean offer of $49.870 and a standard deviation of $3900, Do the sample data provide strong support for the claim that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722? Ho: = H: p Select an answerY (Put in the correct syimbol and value) P value Based on the above we choose to Select an answer
The Chartered Financial Analyst (CFA) designation is fast becoming a requirement for serious investment professionals. Although it requires a successful completion of three levels of grueling exams, the designation often results in a promising career with a lucrative salary. A student of finance is curious about the average salary of a CFA charterholder. He takes a random sample of 36 recent charterholders and computes a mean salary of $146,000 with a standard deviation of $23,000. Use this sample information to determine the 99% confidence interval for the average salary of a CFA charterholder. Note: Round your final answers to the nearest whole number.
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