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Probability and Confidence Interval Homework Help

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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