1/courses/14519_2201HY/Two%20Samples%20T-Te: Fit to page Page view A Read aloud 人 Adc 1. In crash tests at 5 miles per hour, the mean bumper repair cost for 14 randomly selected small cars is $473 with a standard deviation of $190. In similar tests of 23 randomly selected midsize cars, the mean bumper repair cost is $741 with a standard deviation of $205. At a 10% significance level, can you conclude that the mean bumper repair cost is less for small cars than it is for midsize cars? Assume that both populations are normally distributed, but the population standard deviations are not equal to each other. a) Identify the following: a = x.3= X2 = b) Symbolically identify: Ho: На Identify the correct test for this problem: Right-tailed test Left-tailed test Two-tailed test Identify the correct test for this problem: Pooled t-test Non-pooled t-test c) Use your calculator to identify the following items: Test Statistic p-value = df = %3D d) How does your p-value compare to alpha? Identify the correct conclusion: REJECT H, DO NOT REJECT H, e) State your final conclusion in regards to this particular problem. 2. A random sample of 17 residents of Delaware County in Pennsylvania has a mean annual income of S42,600 and a standard deviation of S7800. In Greene County in Pennsylvania, a random sample of 18 residents has a mean annual income of S41,800 and a standard deviation of $7375. Assume both populations are normally distributed and the population standard deviation are approximately equal to each other. X1 a) Identify the following: a = b) Find the 95% confidence interval for the difference of the means of the two populations. c) Identify the point estimate and the margin of error. d) Graph the confidence interval. e) Based on the confidence interval that you found, can you definitively conclude that u, > uz: A