A random sample of 10 students in a university were taken for the measurement of their body height. The results in the unit of centimetre are {172.35, 174.37, 184.38, 164.36, 154.39, 174.34, 170.33, 175.35, 174.36, 177.37}. Give your answers to 3 decimal places for the questions below.
A) Calculate the mean and standard deviation of the students’ height from the above sample.
B) Construct a 95% confidence interval for the mean of the students’ height. Table 3 shows the t-distribution. Table 3: t-distribution
C) Suppose the average body height in the whole university 170.20cm. Through hypothesis testing method, assess whether this sample result suggest that average body height of the sample students is different from that of the general student population in the university. Use the significance level ?=0.05.