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.
Answer
\(\boxed{\text{Final Answer: } A. C.L. = 0.90, B. \frac{\alpha}{2}= 0.05}\)
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 ：\(\boxed{\text{Final Answer: } A. C.L. = 0.90, B. \frac{\alpha}{2}= 0.05}\)
