The Bureau of Economic Analysis in the U.S. Department of Commerce reported that the mean annual...
The Bureau of Economic Analysis in the U.S. Department of Commerce reported that the mean annual income for a resident of North Carolina is $18,688 (USA Today, August 24, 1995). A researcher for the state of North Carolina wants to test the following hypothesis: Where μ is the mean annual income for a resident of North Carolina. The researcher gathers information from a sample of 625 residents of North Carolina and finds a sample mean of 17,076 with a sample standard deviation equal to 15,500. a. What is the appropriate conclusion pertaining to the hypothesis formulated above? Use a 0.01 level of significance. b. What is the ρ-value for this test? c. Construct a 99% Confidence Interval for the value of the mean pertaining to the North Carolina residents’ income. d. How would your answer to part a. change if the sample size, instead of 625, were 25? Demonstrate and Explain. e. How would your answer to part d. change if you KNEW the value of the standard deviation and it was equal to = 16,000? Demonstrate and Explain. In all these problems, show the area under the curve to graphically demonstrate your answers. Really need to know how to do part e and how to graphically demonstrate my answers.
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The Bureau of Economic Analysis in the U.S. Department of
Commerce reported that the mean annual...
The U.S. Bureau of Labor and Statistics reported that a person between the ages of 18...
The U.S. Bureau of Labor and Statistics reported that a person between the ages of 18 and 34 has had an average of 9.2 jobs. To see if this average is correct, a researcher selected a sample of 6 workers between the ages of 18 and 34 and asked how many different places they had worked The results were as follows: Download Data At ?-0.01, can it be concluded that the mean is 9.2? Use the P-value method. Assume the...
0 A personnel director in a particular state claims that the mean annual income is the...
0 A personnel director in a particular state claims that the mean annual income is the same in one of the state's counties (County A) as it is in another county (County B). In County A, a random sample of 17 residents has a mean annual income of $41,200 and a standard deviation of $8400. In County B, a random sample of 14 residents has a mean annual income of $39,000 and a standard deviation of $5900. At a =...
A personnel director in a particular state claims that the mean annual income is greater in...
A personnel director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it is in another county (county B). In county A random sample of 13 residents had a mean annual income of $40600 and a standard deviation of $8300. In county B, a random sample of 11 residents has a mean annual income of $38500 and a standard deviation of $5700. At a=.025, answer b through e....
According to the U.S. Bureau of Labor Statistics, the average weekly earnings of a production worker...
According to the U.S. Bureau of Labor Statistics, the average weekly earnings of a production worker in July 2011 were $657.49. Suppose a labor researcher wants to test to determine whether this figure is still accurate today. The researcher randomly selects 52 production workers from across the United States and obtains a representative earnings statement for one week from each. The resulting sample average is $671.11. Assuming a population standard deviation of $63.90 and a 10% level of significance, determine...
A market research firm reported that the mean annual earning of all family practitioners in the...
A market research firm reported that the mean annual earning of all family practitioners in the United States is $200,000. A public health researcher is concerned that Harrisburg family practitioners earn less than this national average. They take random sample of 55 family practitioners in the Harrisburg, PA area and found a test statistic of t = -1.24. Calculate the p-value for this hypothesis test at the alpha=0.01 level, assuming the population standard deviation is unknown and the original distribution...
According to the U.S. Bureau of Labor Statistics, all workers in America who had a bachelor’s...
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 $1234 a week in 2014. A recent sample of 392 American workers who have a bachelor’s degree showed that they earn an average of $1250 per week. Suppose that the population standard deviation of such earnings is $134. a. Find the p-value for the test of hypothesis with the alternative hypothesis that the current mean weekly...
Past records suggest that the mean annual income, Hy, of teachers in state of California is...
Past records suggest that the mean annual income, Hy, of teachers in state of California is less than or equal to the mean annual income, Hy, of teachers in Oregon. In a current study, a random sample of 10 teachers from California and an independent random sample of 10 teachers from Oregon have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars California 43096,44370,53093, 52462, 41185, 49592, 41491, 45798,43632, 48322 Oregon...
Past records suggest that the mean annual income, Hy, of teachers in state of California is...
Past records suggest that the mean annual income, Hy, of teachers in state of California is less than or equal to the mean annual income, My, of teachers in Oregon. In a current study, a random sample of 10 teachers from California and an independent random sample of 10 teachers from Oregon have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars California 43096, 44370, 53093, 52462, 41185,49592,41491, 45798,43632, 48322 Oregon...
1. A personnel director from Hawaii claims that the mean household income is the same in Kauai County and Maui Coun...
1. A personnel director from Hawaii claims that the mean household income is the same in Kauai County and Maui County. In Kauai County, a sample of 30 residents has a mean household income of $56,900 and a standard deviation of $14,100. In Maui County, a sample of 30 residents has a mean household income of $59,800 and a standard deviation of $7700 At005, can you reject the personnel director's claim? Assume the population varianccs arc not cqual. (o) Which...
Past records suggest that the mean annual income, μ 1, of teachers in state of New York is less t...
Past records suggest that the mean annual income, μ 1, of teachers in state of New York is less than or equal to the mean annual income, μ of teachers in Illinois. In a current study, a random sample of 10 teachers from New York and an independent random sample of 10 teachers from Illinois have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars New York 38021, 49809, 38147, 43028,...
The U.S. Bureau of Labor and Statistics reported that a person between the ages of 18 and 34 has had an average of 9.2 jobs. To see if this average is correct, a researcher selected a sample of 6 workers between the ages of 18 and 34 and asked how many different places they had worked The results were as follows: Download Data At ?-0.01, can it be concluded that the mean is 9.2? Use the P-value method. Assume the...
0 A personnel director in a particular state claims that the mean annual income is the same in one of the state's counties (County A) as it is in another county (County B). In County A, a random sample of 17 residents has a mean annual income of $41,200 and a standard deviation of $8400. In County B, a random sample of 14 residents has a mean annual income of $39,000 and a standard deviation of $5900. At a =...
Past records suggest that the mean annual income, Hy, of teachers in state of California is less than or equal to the mean annual income, Hy, of teachers in Oregon. In a current study, a random sample of 10 teachers from California and an independent random sample of 10 teachers from Oregon have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars California 43096,44370,53093, 52462, 41185, 49592, 41491, 45798,43632, 48322 Oregon...
Past records suggest that the mean annual income, Hy, of teachers in state of California is less than or equal to the mean annual income, My, of teachers in Oregon. In a current study, a random sample of 10 teachers from California and an independent random sample of 10 teachers from Oregon have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars California 43096, 44370, 53093, 52462, 41185,49592,41491, 45798,43632, 48322 Oregon...
1. A personnel director from Hawaii claims that the mean household income is the same in Kauai County and Maui County. In Kauai County, a sample of 30 residents has a mean household income of $56,900 and a standard deviation of $14,100. In Maui County, a sample of 30 residents has a mean household income of $59,800 and a standard deviation of $7700 At005, can you reject the personnel director's claim? Assume the population varianccs arc not cqual. (o) Which...
Past records suggest that the mean annual income, μ 1, of teachers in state of New York is less than or equal to the mean annual income, μ of teachers in Illinois. In a current study, a random sample of 10 teachers from New York and an independent random sample of 10 teachers from Illinois have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars New York 38021, 49809, 38147, 43028,...
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