Problem
MATH1127: Introduction to Statistics (60022) 8.1 A Single Population Mean using the Normal Distribution Unit 3 Chapter 8: Le A $90 \%$ confidence interval for the mass of a sharing size package of M\&MS is $(88.89,89.11)$ grams. Based on this information, label the image below with the correct values. A. C.L. $=$ B. $\frac{\alpha}{2}=$ C. D. E. F. A. $\phi$ B. $\alpha$ C. D. E.
Solution
Step 1 ：Given that the confidence level (C.L.) is $90\%$ or $0.90$.
Step 2 ：We calculate the value of $\alpha$ as $1 - C.L.$, which gives $\alpha = 0.10$.
Step 3 ：Then, we calculate $\frac{\alpha}{2}$ as half of $\alpha$, which gives $\frac{\alpha}{2} = 0.05$.
Step 4 ：\(\boxed{\text{Final Answer: } A. C.L. = 0.90, B. \frac{\alpha}{2}= 0.05}\)
