Question 1 A sports shop selects a random sample and records the sales of items made in China and those made in America. Country of Origin China 50 Mean 22.5 Std. Deviation 9.75 America 33 33.15 11.6 a) What is the SE Mean for the sales from China? b) Calculate a 95% confidence interval for the mean sales amount made in America

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Question 1
A sports shop selects a random sample and records the sales of items made in China and those
made in America.
Country of Origin
China
Mean
22.5
Std. Deviation
9.75
50
America
33
33.15
11.6
a) What is the SE Mean for the sales from China?
b) Calculate a 95% confidence interval for the mean sales amount made in America
Transcribed Image Text:Question 1 A sports shop selects a random sample and records the sales of items made in China and those made in America. Country of Origin China Mean 22.5 Std. Deviation 9.75 50 America 33 33.15 11.6 a) What is the SE Mean for the sales from China? b) Calculate a 95% confidence interval for the mean sales amount made in America
Probability
Poisson distribution
P(A or B) = P(A) + P(B) – P(A and B)
P(A and B) = P(A) x P(B) for independent events
X- Po(A)
P(A and B) = P(A) x P(B|A) for dependent events
P(X - x) = **
x!
P(A and B)
P(B|A) =
P(A)
Confidence Interval
Normal Distribution
1. z-confidence
interval:
X- N(4, ơ)
X-u
2. t-confidence
interval:
1. Standard normal: Z -
(df -n-1)
3. Confidence interval
for proportion:
P(1 – P)
n
Sampling Distribution
1. 4 =4
2.
Test Statistics
X-4
1. z-test for p : 2=
3.
X - µ
2.
t-test for u: t =
(d.f. = n-1)
S/ Vn
Discrete Probability Distribution
3. z-test forp: z-
» np 2 5
1. EÇX) = µ, = Ex,P,
P(1 - P),
and np z 5 (where q = 1-p)
Var(X) = o = 2(x, -4,)°p,
%3D
%3D
4. Chi-square test statistic = y0- E)
(0-E)
Binomial Distribution
Σ
X- Bin(n, p)
n-k
P(X - k) -
P" (1-
n!
p (1-
n-k
k!(n -k)!
Transcribed Image Text:Probability Poisson distribution P(A or B) = P(A) + P(B) – P(A and B) P(A and B) = P(A) x P(B) for independent events X- Po(A) P(A and B) = P(A) x P(B|A) for dependent events P(X - x) = ** x! P(A and B) P(B|A) = P(A) Confidence Interval Normal Distribution 1. z-confidence interval: X- N(4, ơ) X-u 2. t-confidence interval: 1. Standard normal: Z - (df -n-1) 3. Confidence interval for proportion: P(1 – P) n Sampling Distribution 1. 4 =4 2. Test Statistics X-4 1. z-test for p : 2= 3. X - µ 2. t-test for u: t = (d.f. = n-1) S/ Vn Discrete Probability Distribution 3. z-test forp: z- » np 2 5 1. EÇX) = µ, = Ex,P, P(1 - P), and np z 5 (where q = 1-p) Var(X) = o = 2(x, -4,)°p, %3D %3D 4. Chi-square test statistic = y0- E) (0-E) Binomial Distribution Σ X- Bin(n, p) n-k P(X - k) - P" (1- n! p (1- n-k k!(n -k)!
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