) Identify Whether to Use a One-tailed or Two-tailed Test Given H0: p ≥ 80% and Ha: p < 80%, determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. 2) A car maker claims that its new sub-compact car gets better than 47 miles per gallon on the highway. Determine whether the hypothesis test for this is left-tailed, right-tailed, or two-tailed. 3) The owner of a professional basketball team claims that the mean attendance at games is over 30,000 and therefore the team needs a new arena. Determine whether the hypothesis test for this claim is lefttailed, right-tailed, or two-tailed. 4) Interpret a Decision Based on the Results of a Statistical Test The mean age of bus drivers in Chicago is 50.2 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis? 5) The mean age of bus drivers in Chicago is greater than 57.8 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis? 6) The mean IQ of statistics teachers is greater than 160. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis? 7) Find the critical value for a right-tailed test with α = 0.01 and n = 75. 8) You wish to test the claim that μ ≠ 22 at a level of significance of α = 0.05 and are given sample statistics n = 35, x = 21.1, and s = 2.7. Compute the value of the standardized test statistic. Round your answer to two decimal places. 9) Find the standardized test statistic t for a sample with n = 15, x = 7.4, s = 0.8, and α = 0.05 if H0: μ ≤ 7.1. Round your answer to three decimal places. 10) Determine the critical value, z0, to test the claim about the population proportion p = 0.250 given n = 48 and p ^ = 0.231. Use α = 0.01. 11) Find the critical X2 -values to test the claim σ2 = 4.3 if n = 12 and α = 0.05.

R is a free statistical software that is frequently and widely used.  Go to R-Project for Statistical Computing (Links to an external site.)Links to an external site. to download the R software to your computer (follow the instructions provided in the attached R Installation Instructions sheet). The R Project website (Links to an external site.)Links to an external site. provides a brief introduction to R that you may also want to review.   n this CT assignment, we will use R software to analyze a dataset GoogleAmazonStock.xlsx. It contains daily closing stock prices for Google and Amazon from 8/22/2017 to 8/22/2018. When we examine stock prices (or other financial assets) we often transform them into a (simple) return series. The return series are computed by the formula: (present price/past price) - 1. The dataset contains both stock prices and return series. 1. Using R, construct time series (line) plots for both stock prices and return series. R functions ts.plot or plot can create the plot. Describe the patterns and compare the plots. 2. Based on the return series, can we claim that the mean Amazon return series is higher than that of Google? a. What would be an appropriate test of the claim above? Explain. b. Write the null and alternative hypotheses. c. Using R, perform the test. d. Write the decision in the problem context.   Take the screenshots of the R graphs and output as well as the code. Paste them into a Word document along with your answers to the questions above. Clearly label the questions and answers. Submit the Word file in Canvas.