Question 15:10 points] It is well known that there are regional variations in prices in the Eurozone (this includes all countries that use the curo as their currency). Some data were collected to compare the difference in the price of two-bedroom apartments in Spain and Portugal (the two countries on the Iberian peninsula, which are very similar in many respects, both cultural and economic). Assume the two data samples are independent Country Spain 8 48.8 Portugal 12 39.8 112 Note: The data is in thousands of euros. 10.7 Test the hypothesis that two-bedroom apartments are more expensive in Spain than in Portugal, at the a=0.05 significance level. For parts t-e, assume that the Spanish housing prices and the portuguese housing pricex share common (population) variance. 2 points State the null and alternative hypotheses b. 12 points Write down the test statistic. This test statistic followst-distribution. What is the degree freedom? 12 points) Find the p-value. What is your conclusion in hypothesis testing! d. [4 points of the population variances of the housing prices in Spain and Portugal are not the same, repeat parts b-c. What is your conclusion on the hypotheses testing! Question 15:10 points] It is well known that there are regional variations in prices in the Eurozone (this includes all countries that use the curo as their currency). Some data were collected to compare the difference in the price of two-bedroom apartments in Spain and Portugal (the two countries on the Iberian peninsula, which are very similar in many respects, both cultural and economic). Assume the two data samples are independent Country Spain 8 48.8 Portugal 12 39.8 112 Note: The data is in thousands of euros. 10.7 Test the hypothesis that two-bedroom apartments are more expensive in Spain than in Portugal, at the a=0.05 significance level. For parts t-e, assume that the Spanish housing prices and the portuguese housing pricex share common (population) variance. 2 points State the null and alternative hypotheses b. 12 points Write down the test statistic. This test statistic followst-distribution. What is the degree freedom? 12 points) Find the p-value. What is your conclusion in hypothesis testing! d. [4 points of the population variances of the housing prices in Spain and Portugal are not the same, repeat parts b-c. What is your conclusion on the hypotheses testing