7.1.4Stephen Stigler determined in 1977 that the speed of light is 299,710.5 km/sec. In 1882, Albert Michelson had collected measurements on the speed of light ("Student t-distribution," 2013). Is there evidence to show that Michelson’s data is different from Stigler’s value of the speed of light? State the random variable, population parameter, and hypotheses.7.1.6According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? State the type I and type II errors in this case, consequences of each error type for this situation, and the appropriate alpha level to use.7.2.4According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? Test at the 5% level.7.2.6In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008). Nationally 1 in 88 children are diagnosed with ASD ("CDC features -," 2013). Is there sufficient data to show that the incident of ASD is more in Arizona than nationally? Test at the 1% level.7.3.6The economic dynamism, which is the index of productive growth in dollars for countries that are designated by the World Bank as middle-income are in table #7.3.8 ("SOCR data 2008," 2013). Countries that are considered high-income have a mean economic dynamism of 60.29. Do the data show that the mean economic dynamism of middle-income countries is less than the mean for high-income countries? Test at the 5% level.Table #7.3.8: Economic Dynamism of Middle Income Countries25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.076741.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.855549.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.625250.9866 59.1724 39.6282 33.6074 21.6643  7.3.8Maintaining your balance may get harder as you grow older. A study was conducted to see how steady the elderly is on their feet. They had the subjects stand on a force platform and have them react to a noise. The force platform then measured how much they swayed forward and backward, and the data is in table #7.3.10 ("Maintaining balance while," 2013). Do the data show that the elderly sway more than the mean forward sway of younger people, which is 18.125 mm? Test at the 5% level.Table #7.3.10: Forward/backward Sway (in mm) of Elderly Subjects19 30 20 19 29 25 21 24 508.1.4Suppose you compute a confidence interval with a sample size of 100. What will happen to the confidence interval if the sample size decreases to 80?8.1.8In 2013, Gallup conducted a poll and found a 95% confidence interval of the proportion of Americans who believe it is the government’s responsibility for health care. Give the statistical interpretation.8.2.6In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008). Find the proportion of ASD in Arizona with a confidence level of 99%.8.3.6The economic dynamism, which is the index of productive growth in dollars for countries that are designated by the World Bank as middle-income are in table #8.3.9 ("SOCR data 2008," 2013). Compute a 95% confidence interval for the mean economic dynamism of middle-income countries.Table #8.3.9: Economic Dynamism ($) of Middle Income Countries25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.076741.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.855549.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.625250.9866 59.1724 39.6282 33.6074 21.6643

Download the file Sample Data. Prepare a chart similar to the one in the downloaded file to indicate whether the correlation between Variables A and B were found to be positive, negative, or minimal. Provide explanation and justification for your decisions. In your own words, explain what it means if the correlation of 2 variables is positive, negative, or minimal (close to 0), and give an example of each. What do you deduce from the correlations? Explain if you believe these to be short or long-term objectives and outcomes.  What are the implications for Big D Incorporated regarding their client in the outdoor sporting goods? What are the implications for the penetration into the indoor sporting goods market? Also, how can you use the correlation tools to identify the variables in the research toward the expansion into the indoor sporting goods market?

Math 140 Project: Exploring relationships between two variables In this project, you will search two quantitative variables that may have a linear correlation. You will describe and analyze the relationship between the variables the way it is explained in Chapter 4 (4.1-4.2). You will, then, create a written report including all 4 parts below and turn in by the stated due date according to the guidelines provided in this paper. Required components:1. Understand the Problema) Search for two quantitative variables that may have a linear correlation from the internet, in Canvas or any other media. You may also get the data by surveying 15-20 people. Possible websites to look for data: You may obtain the data in StatCrunch.com: Click explore and click Data. http://www.city-data.com/ for demographic information about cities http://www.cde.ca.gov/ta/ac/ap/ for academic performance index. http://graphics.latimes.com/responsivemap-pollutio... for pollution burdens. Website where you found the data: b) Use your intuition and/or experience to predict and write down the descriptions of the possible relationship: Form, Direction, Strength, and outlier, etc. c) Develop a question that address a possible linear correlation between two variables. State the question(s):Identify two variables from the data that are relevant to answer the questions: 2. Analyze the paired Dataa) What is the likely explanatory variable in the paired data?b) Draw a scatter plot of the data. Does the graph show a linear relationship between the variables? Comment on the direction and strength appeared on the scatter diagram.c) Compute the linear correlation coefficient between the two variables and interpret the meaning specifically for your data. d) Find the equation of the least-squares regression line.e) Interpret the slope and y-intercept, if appropriate. f) Use the equation of the least-squares regression line to predict the outcome (y-value) for one of the x-values in your data.g) Find the residual for the x-value you chose in part (f). Explain what it means when a residual is positive or negative.3. Draw Conclusions a) What do the results indicate about the relationship between two variables? b) Do you think there is a causal relation between the variables? Explain. c) Relate the comments you made in step 1b before analyzing the data by commenting on both of the following: How your expectation differs (or do not differ) from the actual results? If it is relevant or meaningful in context, think of a way that these results could be used in practice.4. Summarize Write a short summary of the main findings that you discovered. Math 140 Project: Exploring relationships between two variables -Score Sheet (Total 50 points)Name:________________________________________ Date:__________________________________Title of the project: ____________________________________________________________________Website where you found the data:_______________________________________________________Project Grade: __________________________________