Scenario: A researcher believes that elementary school teachers who are women earn less than their male counterparts. She collects data from elementary school teachers and finds that among a random sample of 100 teachers who are women, the mean yearly salary is $57,600 with a standard deviation of $1,000. The mean salary for a random sample of 225 elementary school teachers who are men is $58,800 with a standard deviation of $1,100. Conduct a hypothesis test to assess the researcher's claim. Question: Given the p-value you calculated, which of the following is a correct conclusion for this test? (select all that apply)
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A: The summary of the statistics is, The type of test is left tailed test
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A: Givenstandard deviation(σ)=2.12Mean(x)=6.25sample size(n)=27significance level(α)=0.05
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A: Sample size n=50
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A: Given that, Hypothesized Population Mean (µ) = 48722 The provided sample mean is X = 49870…
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Q: Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical…
A: Given, For mechanical engineers: mean=46300 n=42 s.d =3420 For electrical engineers: mean=46800 n=60…
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A: Given, n1=20 n2=20 μ1=3.2σ1=1.5μ2=1.7σ2=0.8 Claim: The means are approximately the same or if the…
Q: The Chartered Financial Analyst (CFA) designation is fast becoming a requirement for serious…
A: Step 1: To find the 99% confidence interval for the average salary of CFA charterholders, we can use…
Q: The Chartered Financial Analyst (CFA) designation is fast becoming a requirement for serious…
A: The sample size is .The sample mean is .The sample standard deviation is .The confidence level is .
Q: Registered nurses earned an average annual salary of $69,110. For that same year, a survey was…
A: If the sample size is small and the population standard deviation is known then z test is used.…
Q: The Chartered Financial Analyst (CFA) designation is fast becoming a requirement for serious…
A: GivenMean(x¯)=136000standard deviation(s)=35000sample size(n)=25Confidence…
Q: Marketing companies have collected data implying that teenage girls use more ring tones on their…
A: The provided sample means are shown below: Xˉ1=3.4\bar X_1 = 3.4 (For Teenage girls) Xˉ2=1.7\bar X_2…
Q: i. form z or tar where df is the degrees of freedom. Round your answer to two decimal places.) State…
A: Mechanical Engineer n1 = 50x1 = 46300s1 = 3450 Electrical Engineern2 = 58x2 = 46800s2 = 4230…
Q: more income than the national average?
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Q: The Chartered Financial Analyst (CFA) designation is fast becoming a requirement for serious…
A: Obtain the 90% confidence interval for the average salary of a CFA charter holder. The 90%…
Q: The Chartered Financial Analyst (CFA) designation is fast becoming a requirement for serious…
A: Given,sample size(n)=45sample mean(x¯)=$155,000sample standard deviation(s)=$18,000degrees of…
Q: respectively. Their standard deviations were $3450 and $4230, respectively. Conduct ypothesis test…
A: Mechanical Engineer n1 = 50 x1 = 46300 s1 = 3450 Electrical Engineer n2 = 58 x2 = 46800 s2 = 4230
Q: A comparison between species: Biologists comparing the gestation period of two newly discovered…
A: (a) State the hypotheses. That is, there is no evidence that the average lengths of the gestation…
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A: n1=12,x1¯=82.3,s1=4.7n2=16,x2¯=76.9,s2=6.8
Q: Community college instructors' salaries in one state are very low, so low that educators in that…
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Q: Draw a conclusion and interpret the decision
A: Community college instructors' salaries in one state are very low, so low that educators in that…
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A: From the provided information, The degree of freedom = n1 + n2 – 2 = 70 + 50 – 2 = 118 As, the…
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A: From the given information, the claim of the test is the average income of rural families is less…
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A:
Q: A professor is concerned that the two sections of college algebra that he teaches are not performing…
A: The objective of this question is to test the professor's claim that the two classes he teaches are…
Q: A professor is concerned that the two sections of college algebra that he teaches are not performing…
A: From the provided information,
Q: The Chartered Financial Analyst (CFA) designation is fast becoming a requirement for serious…
A: Confidence interval give a range of values for the unknown parameter of the population. The width of…
Q: A local business offers test-taking courses for students who are planning to take the Graduate…
A: Given that,population mean(u)=1590sample mean, x =1630standard deviation, s =320number (n)=17
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A: Given that, You are in charge of a construction project and must cancel work whenever it rains. 3…
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A: As the population standard deviation is not known, we will use a t-test. An F-test is used to test…
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A: Given,sample size(n)=36sample mean(x¯)=126.50standard deviation(s)=39.44H0:μ=118H1:μ>118
Q: The price of a certain combo meal at different franchises of a national fast food company varies…
A: Sample size(n)=27Sample mean()=$5.50Population standard deviation()=$2.02Population mean()=$6.25and…
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A: Given that Sample size n =24 Sample mean =24970 Sample standard deviation =2300
Q: A report states that the mean yearly salary offer for students graduating with a degree in…
A: From the provided information, Sample size (n) = 50 Sample mean (x̅) = 49830 Sample standard…
Q: A report states that the mean yearly salary offer for students graduating with mathematics and…
A: According to the given information in this question, we need to answer all the parts
Q: A researcher is interested in seeing if the average income of rural families is less than that of…
A: The descriptive statistics is given as follows Significance level = 0.01
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A: Ytyi
Q: The Chartered Financial Analyst (CFA) designation is fast becoming a requirement for serious…
A: According to the given information in this question, we need to construct 95% confidence interval
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A: From the given information,Sample size = 25,Sample mean = -$23Sample standard deviation =$16
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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 hypothesisThe 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.)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
- 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 answerThe 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.asap