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## Calculating Probability of Sample Mean

Assume your tutorial class is a representative sample of students in the School of Engineering. Calculate the probability that the sample mean height of students in the School of Engineering is less than 160cm. Show all necessary workings.

## Constructing a 95% Confidence Interval Estimate

Assume your tutorial class is a representative sample of students in the School of Engineering. Construct a 95% confidence interval estimate for the true mean height of students in the School of Engineering. Show all necessary workings.
 Student Name Height (CM) Seow Yu Xin Ashley 153 Annalise ShalynLawe 156 Teo Zhi Yi, Bernice 159 NabilahBte Salim 162 Emily Chin Jia Yan 165 Chia Rui Yang 166 Muhammad Akmal B MohdZaini 166 Then Shi Rong 168 Deshawn Brandon Ooi 168 Tommie Tan Jia Hong 170 Ng Yulun Bill 171 Mohamed Hamizan B Hamzah 171 Lim Eu Jing 171 Lin Xin Long 171 Leeji an hao 171 Harith Zikry Mahadi 171 Ang KaJin, Galen 171 Ang Wei Zhi 172 Humaidy Bin Suhari 173 Muhammad Raziq Bin Abdul Rahim 175 Isa Norazmi 176 Joseph Zheng Chen Zhang Moreno 176 Goh Jason Fadil 178 Mikail Bin Muhamed Rasul 178 Nigel Tung Jia Wei 180 Leow Zheng Kai, Xavier 181 Cheung Ho Hoi 184