The next seven questions refer to the following scenario: A random sample of 16 Porsche drivers yielded an average age of 50 years with a variance of 9 years and a random sample of also 16 Ferrari drivers yielded an average of 47 years with a variance of 25 years. Porsche Driver Ferrari Driver 16 16 mean 50 47 Variance 25 Conduct the following hypothesis test at =0.05. HO: Mean Age Porsche Drivers< Mean Age Ferrari Drivers HA: Mean Age Porsche Drivers > Mean Age Ferrari Drivers Assume unequal variance.

Which of the following can cause OLS estimators to be biased? PLEASE EXPLAIN

QUESTION 4 We want to test whether males are taller than females. Heights of males and females are collected and the excel outputs are given below. Assume height is normally distributed for males and females with unequal variances. t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Unequal Variances Male Female Male Female Mean Variance Observations 170.86 169,1333 11.2249 15.93636 Mean 170.86 169.1333 Variance Observations Hypothesized Mean Difference 50 45 11.2249 15.93636 Pooled Variance 13.45398 50 45 Hypothesized Mean Difference df 93 86 t Stat 2.290934 t Stat 2.269888 P(T<=t) one-tail t Critical one-tail P(T<=t) one-tail. t Critical one-tail 0.012857 1.662765 0.012113 1.661404 P(T<=t) two-tail t Critical two-tail 0.025715 P(T<=t) two-tail t Critical two-tail 0.024226 1.985802 1.987934 You are given two excel outputs. Select the appropriate output to answer questions. Write down the p-value for this test given in the table (give you answer to 4 decimal…

In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board wants to make sure that the variance of the mean standardized-test scores for all students at each school in the district is less than 2. To test this claim, they looked at the mean student scores for the standardized test from a random sample of 27 schools in the district. The results from the survey found that the overall mean was a score of 209.740 with a standard deviation of 1.210. With α=0.05, perform a hypothesis test to determine if the variance is less than 2. Assume that the district standardized-test scores are normally distributed.   Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.