Question11.A study in 2020 compared the mean heights of high school… 11.A study in 2020 compared the mean heights of high school students in Finland (F) with high school students in Turkey (T). For this study, 36 students from Finland and 46 students from Turkey were used. Assume that the two populations are normally distributed with unknown but equal variances and that the samples are independent. The following statistics were calculated from these two samples: The sample mean height and standard deviation for the Finnish students was 178.9 cm. and 7.4 cm, respectively. The sample mean height and standard deviation for the Turkish students was 172.6 cm and 6.9 cm, respectively.Use the information in the paragraph (above) to answer the following questions (show your work):(a) Formulate the null and alternative hypothesis to test whether the mean heights for these two populations are the same or different.(b) Identify the appropriate test statistic that you should use to test your hypothesis and state why this is the appropriate test.(c) Calculate your test statistic and the critical value and state whether you should reject or fail to reject the null hypothesis.MathStatistics and Probability FIN 580
