) 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.

Show that the points A(-4,3), B(-2,-2), C(3,0) and D(1,5) frm the verticies of a square.

Sample statistics, such as the sample mean or the sample proportion, can be used to estimate a population parameter (such as the population mean or the population proportion). For example, you can estimate the true mean weight of all newborn babies in the entire world by collecting a sample and using that sample to generate a 95% confidence interval. Because the sample is a relatively little portion of the entire population, errors will have to be considered. Using a sample to create a range or interval of values that estimates a population value is called a “confidence interval.” The formula for calculating a 95% confidence interval for a population mean is: The general “Confidence Interval” formula is: sample mean – E < population mean < sample mean + E To calculate a confidence interval, the margin of error (E) must first be calculated. The Margin of Error, E, for means is: E = 1.96*s/sqrt(n), where s is the sample standard deviation, n is the sample size. The “sqrt” stands for square root. The Margin of Error, E, for proportions is: E = 1.96*sqrt[p*(1-p)/n], where n is the sample size, and p is the proportion. Use the Confidence Interval formula above, and the correct formula for E, to calculate the 95% confidence interval for any population mean of your choice. Write down (invent) the sample size (be sure it is 30 or above), the sample mean, and the sample standard deviation. Then, calculate the confidence interval. Remember, you are inventing all the values, so no two posts should look the same. Use the Confidence Interval formula above, and the correct formula for E, to calculate the 95% confidence interval for any population proportion of your choice. Write down (invent) the sample size (be sure it is 30 or above) and the sample proportion. Then, calculate the confidence interval. Remember, you are inventing all the values, so no two posts should look the same. Hint: The PowerPoint Guides has great examples to learn from before creating your own unique and original example.