Question

please be sure to select one of the equations listed in #1. Thank you!

A certain school has 275 male students. The school nurse would like to know how many calories the male students consume per day. So, she samples 40 male students and finds that the mean calorie consumption of the 40 is 2670 calories per day with a standard deviation of 330 calories per day. Find the 95% confidence interval for mean calorie intake of all the male students in the school Answer the following questions: 1. Multiple choice:Which equation would you use to solve this problem? AR-<< 8+za 8,8-47<<x+ <****** C. 1-2 D PI: p(1-P) E P(1-P) Ptz 2. List the values you would insert into that equation 3. State the final answer to the problem

Answer 1

First of all here, the sample size n equals 40 (>30) which is large sample size so, the distribution used will be the normal distribution insted of using exact t- distribution and one more thing since , we have to find confidence interval for population mean so, we will use test of significance for single population mean with finite population size N= 275

2 954 confidence interval for mean Calorie is given by at Za se fut S. E (1) ret Za Sm N-n HEK 7 H-1 X- z H-n come şi Mcht N1 that in Hh Soi option to is correct H = 275 2 u - 2670 n = 40 s- 33.0 ze=0.05 0.05 ) = 1.96

१. 2 670 - 1.96) ११० | 25-५० 25- 사 ५०, 2670 + 24-40 1-96/330 40 14 225- 2670 94.7106 ८.4 7 260 +g4.406 25. 2894 < - < 2764.1106 2575• 28 시 2764.71