Let X equal the weight in grams of a miniature candy bar.

QUESTION:

Let \(X\) equal the weight in grams of a miniature candy bar. Assume that \(\mu=E(X)=24.43\) and \(\sigma^{2}=\operatorname{Var}(X)=2.20\). Let \(\bar{X}\) be the sample mean of a random sample of \(n=30\) candy bars. Find

(a) \(E(\bar{X})\).

(b) \(\operatorname{Var}(\bar{X})\).

(c) \(P(24.17 \leq \bar{X} \leq 24.82)\), approximately.

Equation Transcription:

Text Transcription:

X

mu =E(X)=24.43

sigma^2=Var⁡(X)=2.20  

Bar X  

n=30  

E(bar X)

Var⁡(bar X)

P(24.17< or = bar X< or = 24.82)