Scenario: A researcher believes that food servers in her city who are women earn less than food servers who are men. She surveys food servers in her city and finds that among a random sample of 32 women, the mean yearly salary was $37,800 with a standard deviation of $1,000. The mean salary for a random sample of 41 men was $38,600 with a standard deviation of $1,300. Conduct a hypothesis test to assess the researcher's claim. Let a=.01. Question: Which of the following correctly specifies the alternative hypothesis? [select all that apply]
Q: A researcher is interested in seeing if the average income of rural families is greater than that of…
A: Givenfor rural familiesn1=59x1=65268σ1=892For urban familiesn2=56x2=66697σ2=820α=0.01
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Q: Ho: μ = Ha: Select an answer α= P-value = Based on the above we choose Question Help: Post to foru…
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A: State the hypotheses. That is, the left- and right-handed individuals have the same IQ. That is,…
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A: In this problem, we will use z-test to solve the test statistic since the population standard…
Q: A researcher is interested in seeing if the average income of rural families is different than that…
A: Given Information : A researcher claim that average income of rural families is different that…
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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: 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.…
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A: The objective of this question is to conduct a hypothesis test to determine if there is evidence…
Q: more income than the national average?
A: Given that The mean income per person in the United States is $44,500 (μ=44500) The distribution of…
Q: A researcher is interested in seeing if the average income of rural families is greater than that of…
A: Given information: for income of rural familiesn1=35x¯1=65210σ1=891for income of urban…
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A: Hypotheses:H0: σ² = 36H1: σ² ≠ 36(Note: The value 36 comes from squaring the standard deviation of…
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A: n1=12,x1¯=82.3,s1=4.7n2=16,x2¯=76.9,s2=6.8
Q: as ation of $713. Perform a h lies be sample 1 and urbar vpotheses are: > l2(claim) < µ2(claim)
A: The objective is to test the claim that the average income of rural families is different than that…
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Q: The average starting salary of students who graduated from colleges of Business in 2009 was $48,400.…
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Q: A medical researcher administers a new medication to a random sample of 70 flu sufferers, and she…
A: From the provided information, The degree of freedom = n1 + n2 – 2 = 70 + 50 – 2 = 118 As, the…
Q: A researcher is interested in seeing if the average income of rural families is less than that of…
A: From the given information, the claim of the test is the average income of rural families is less…
Q: A sample of 9 production managers with over 15 years of experience has an average salary of $71,000…
A: The objective of this question is to find the confidence interval for the mean salary of all…
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A: The objective of this question is to test the professor's claim that the two classes he teaches are…
Q: Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed…
A: Thank you for posting this question ! You have correctly chosen that a z test needs to be performed…
Q: Suppose Jason read an article stating that in a 2003-2004 survey, the average American adult man…
A: Here the given information is Suppose Jason read an article stating that in a 2003-2004 survey,…
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Q: A medical resident is convinced that, on average, residents at his hospitals work for over 3 hours…
A: Solution: State the hypotheses. Null hypothesis: That is, on average, residents at his hospitals…
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Q: A researcher is interested in seeing if the average income of rural families is less than that of…
A: GivenFor rural families n1=57x1=67821σ1=748For urban familiesn2=42x2=67633σ2=616α=0.05Critical value…
Q: A researcher is interested in seeing if the average income of rural families is less than that of…
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A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…
Q: According to the U.S. Bureau of Labor Statistics, all workers in America who had a bachelor's degree…
A: From the given information, The hypothesized population mean (μ)=1232. Population standard…
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: Given information, Mean =516 Standard deviation =116
Q: A researcher is interested in seeing if the average income of rural families is greater than that of…
A:
Q: OHA: 22.3 b. What is the correct distribution to use for the test? Select an answer c. What is the…
A: Followings are the Explanation of the question Use the Two sample independent t test when standard…
Q: An auditor, pressed for time and on a low budget, is concerned with account errors on customer…
A: From the given information,Sample size = 25,Sample mean = -$23Sample standard deviation =$16
Q: 6. A study was conducted to determine if the salaries of librarians from two neighboring cities were…
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- The average starting salary of students who graduated from colleges of Business in 2009 was $48,800. A sample of 100 graduates of 2010 showed an average starting salary of $50,000. Assume the standard deviation of the population is known to be $7000. We want to determine whether or not there has been a significant increase in the starting salaries. a. State the null and alternative hypotheses to be tested. b. Compute the test statistic. c. The null hypothesis is to be tested at the 5% level of significance. Determine the critical value for this test. d. What do you conclude from the test? e. What does the test result mean in the context of this problem?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 hypothesisA 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…A researcher is interested in seeing if the average income of rural families is greater than that of urban families. To see if his claim is correct he randomly selects 12 families from a rural area and finds that they have an average income of $67255 with a standard deviation of $570. He then selects 22 families from a urban area and finds that they have an average income of $66577 with a standard deviation of $939. Perform a hypothesis test using a significance level of 0.10 to help him decide. Let the rural families be sample 1 and the urban families be sample 2. The correct hypotheses are: Ho: 1 ≤ 2 HA:μι > μ2(claim) Ο Ηο: μι 2 μ2 HAM12(claim) O Ho: 1 = ₂ HA: 12(claim) Since the level of significance is 0.10 the critical value is 1.309 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis H1 : 55.0 appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places. Right-Tailed T-Table probability Degrees of Freedom 54 0.00040.00140.00240.00340.00440.00540.0064 56 57 58 59 60 3.562 3.135 2.943 2.816 2.719 2.641 2.576 3.558 3.132 2.941 2.814 2.7172.640 2.574 3.554 3.130 2.939 2.8122.716 2.638 2.572 3.550 3.127 2.937 2.810 2.714 2.636 2.571 3.547 3.125 2.935 2.8082.712 2.635 2.569 3.544 3.122 2.933 2.806 2.711 2.633 2.568 3.540 3.120 2.931 2.805 2.709 2.632 2.567 Provide your answer below , p-value -
- 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 $48,7227 Ho: = Ha: Select an answer V (Put in the correct symbol and value) a = P-value =A researcher is interested in seeing if the average income of rural families is greater than that of urban families. To see if his claim is correct he randomly selects 12 families from a rural area and finds that they have an average income of $67255 with a standard deviation of $570. He then selects 22 families from a urban area and finds that they have an average income of $66577 with a standard deviation of $939. Perform a hypothesis test using a significance level of 0.10 to help him decide. Let the rural families be sample 1 and the urban families be sample 2. The correct hypotheses are: Ho: 1 ≤ 2 HA:μι > μ2(claim) Ο Ηο: μι 2 μ2 HAM12(claim) O Ho: 1 = ₂ HA: 12(claim) Since the level of significance is 0.10 the critical value is 1.309 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)A Two-Sample Hypothesis TestThe mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of three English courses with a standard deviation of 0.8. The females took an average of four English courses with a standard deviation of 1.0. Are the means statistically the same? (Assume a 5% level of significance.)Useful tools:Normal Distribution Calculatort-Distribution Calculator 1. Which of the following null and alternative hypotheses match this scenario? A---H0:Δμ=0H0:Δμ=0Ha:Δμ≠0Ha:Δμ≠0 B---H0:Δμ≠0H0:Δμ≠0Ha:Δμ=0Ha:Δμ=0 C---H0:Δμ=0H0:Δμ=0Ha:Δμ>0 2. Which type of test should be applied? A---The alternative hypothesis indicates a right-tailed test. B---The alternative hypothesis indicates a left-tailed test. C---The alternative hypothesis indicates a two-tailed test. 3. Which type of distribution should be…
- 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 answerasapYour answer is partially correct. According to the U.S. Bureau of Labor Statistics, all workers in America who had a bachelor's degree and were employed earned an average of $1233 a week in 2014. A recent sample of 388 American workers who have a bachelor's degree showed that they earn an average of $1240 per week. Suppose that the population standard deviation of such earnings is $137. a. Find the p-value for the test of hypothesis with the alternative hypothesis that the current mean weekly earning of American workers who have a bachelor's degree is higher than $1233. Will you reject the null hypothesis at a = 0.005? Round your answer to four decimal places. p-value = i 0.8264 Do not reject Z = b. Test the hypothesis of part a using the critical-value approach and a = 0.005. Ho. Round your answer for the observed value of z to three decimal places. i 0.94