4. Inferential Statistics (Use MATLAB) 20 points total) During the first lecture, data were collected from each student in the class. That data is in the file Student DataBME221Spring2019.csv'. The fields are summarized as follows: . BirthdayMonth: the birth month reported by the student . Height: height of the student in inches. . Gender: gender of the student, where 1 is male, and 0 is female. FingerSpan: finger span of the student in centimeters. . PianoPlayer: whether the student is a piano player, where 1 indicates the student plays the piano, and 0 indicates the student does not play the piano (a) Use the 2-statistic to construct a 95% confidence interval for male and female finger spans. state that the finger spans of males is significantly wider than the inger spans of females on averager (Hint NT is implied if two 95% confidence intervals overlap or do not overlap?) (b) Repeat the above with the t distribution. Use MATLAB's built-in tinv) function, to deter mine the tt t distribution substantially different from those obtained in 4(b)? and t Are the confidence intervals based on the more conservative out-off- (c) Determine a 95% confidence interval for the proportion of piano players in the class. Consider a college campus like the University of Rochester that has approximately 6000 students, with about a 50-50 male/female ratio. Give a 95% reference range for the number of piano players among the male, female, and total undergraduates on campus. (Note: A 95% reference range is a range of values within which 95% of the population will lie.) (d) How many piano players on the college campus are likely to have a finger span below 21 cm? (HINT: use the cumulative normal distribution for this part.) 4. Inferential Statistics (Use MATLAB) 20 points total) During the first lecture, data were collected from each student in the class. That data is in the file Student DataBME221Spring2019.csv'. The fields are summarized as follows: . BirthdayMonth: the birth month reported by the student . Height: height of the student in inches. . Gender: gender of the student, where 1 is male, and 0 is female. FingerSpan: finger span of the student in centimeters. . PianoPlayer: whether the student is a piano player, where 1 indicates the student plays the piano, and 0 indicates the student does not play the piano (a) Use the 2-statistic to construct a 95% confidence interval for male and female finger spans. state that the finger spans of males is significantly wider than the inger spans of females on averager (Hint NT is implied if two 95% confidence intervals overlap or do not overlap?) (b) Repeat the above with the t distribution. Use MATLAB's built-in tinv) function, to deter mine the tt t distribution substantially different from those obtained in 4(b)? and t Are the confidence intervals based on the more conservative out-off- (c) Determine a 95% confidence interval for the proportion of piano players in the class. Consider a college campus like the University of Rochester that has approximately 6000 students, with about a 50-50 male/female ratio. Give a 95% reference range for the number of piano players among the male, female, and total undergraduates on campus. (Note: A 95% reference range is a range of values within which 95% of the population will lie.) (d) How many piano players on the college campus are likely to have a finger span below 21 cm? (HINT: use the cumulative normal distribution for this part.)
