Q1. A sample of size n = 8 drawn from a normally distributed population has sample mean =14.8 and sample standard deviation s=1.92. A 95% confidence interval (CI) for #is B) (11.14,17.71) A) (13.19,16.41) Q2. In hypothesis testing, a Type 2 error occurs when: C) (13.51,16.09) A) Anytime the decision is 'fail to reject' D) (11.81,15.82) C) Anytime H, is rejected B) Anytime Ho is rejected D) All are correct Q3. How many complete dinners can be created from a menu with 3 appetizers, 5 soft drinks, and 4 desserts if a complete dinner consists of one appetizer, one soft drink, and one dessert? A) 12 B) 60 C) 17280 D) 30 Q4. If the mean of data greater than the median, then the data is: A) Right Skewed B) Left Skewed C) Symmetric D) bimodal Q5. If P(A)=0.30, P(B)= 0.40 and P(AB)=0.20, then P(A | B) is: A) 0.12 B)) 0.67 C) 0.08 D) 0.50 Q6. Suppose we have a random variable X where P(X=k)= 29) (0.71) for k=0,115. What is the mean E(X) of X? A) 5.22 B) 0.71 C) 4.35 D) 10.65 Q7. A numerical summary (value) of a population is called A) Statistic B) Measurement C) Sample D) Parameter * If n=32, x=26.2, o=5.15, a = 0.05:answer the following Two questions Q8. The confidence interval for the population mean is A) (26.08, 26.32) B) (24.42, 27.98) C) (24.42, 27.56) D) (23.95, 28.54) Q9. The maximum error (the margin of error) of the estimation "E" is: D) 0.62 C) 1.96 A) 1.78 B) 0.78 Q10. Based on the following scatter plots, the sample correlation coefficients (r) between y and x is: C)0 D) 1 B) Negative A) Positive D) 3.5 Q11. Consider the following observations, 3 3 4 5 6 7 8 10. The third quartile Q3 is: B) 3 A) 8 C) 7.5 D) P(B) C) P(A) Q12. If A and B are two independent events, then P(B|A) = A) 0 B) P(A)P(B) D) Z<-1.96 or Z> 1.96 =25,H₁:25, the rejection region is Q13. If n = 32,0 = 5.15, = 26.2, a = 0.1. In testing Ho: B) Z<-1.645 or Z> 1.645 C) Z> 1.96 A) Z> 1.645 (1)(0.29)

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### Statistics Practice Questions

#### Q1. Confidence Interval 
A sample of size \( n = 8 \) drawn from a normally distributed population has a sample mean \( \bar{x} = 14.8 \) and sample standard deviation \( s = 1.92 \). A 95% confidence interval (CI) for \( \mu \) is:
- A) (13.19, 16.41)
- B) (11.14, 17.71)
- C) (13.51, 16.09)
- D) (11.81, 15.82)

#### Q2. Hypothesis Testing
In hypothesis testing, a Type 2 error occurs when:
- A) Anytime the decision is 'fail to reject'
- B) Anytime \( H_0 \) is rejected
- C) Anytime \( H_1 \) is rejected
- D) All are correct

#### Q3. Combinatorics
How many complete dinners can be created from a menu with 3 appetizers, 5 soft drinks, and 4 desserts if a complete dinner consists of one appetizer, one soft drink, and one dessert?
- A) 12
- B) 60
- C) 17280
- D) 30

#### Q4. Distribution Shapes
If the mean of data is greater than the median, then the data is:
- A) Right Skewed
- B) Left Skewed
- C) Symmetric
- D) Bimodal

#### Q5. Probability
If \( P(A) = 0.30, P(B) = 0.40 \) and \( P(A \cap B) = 0.20 \), then \( P(A | B) \) is:
- A) 0.12
- B) 0.67
- C) 0.08
- D) 0.50

#### Q6. Expected Value
Suppose we have a random variable \( X \) where \( P(X = k) = \binom{15}{k} (0.29)^k (0.71)^{15-k} \) for \( k = 0, 1, ..., 15 \). What is the mean \( E(X) \) of \( X \)?
- A) 5.22
- B) 0.71
Transcribed Image Text:### Statistics Practice Questions #### Q1. Confidence Interval A sample of size \( n = 8 \) drawn from a normally distributed population has a sample mean \( \bar{x} = 14.8 \) and sample standard deviation \( s = 1.92 \). A 95% confidence interval (CI) for \( \mu \) is: - A) (13.19, 16.41) - B) (11.14, 17.71) - C) (13.51, 16.09) - D) (11.81, 15.82) #### Q2. Hypothesis Testing In hypothesis testing, a Type 2 error occurs when: - A) Anytime the decision is 'fail to reject' - B) Anytime \( H_0 \) is rejected - C) Anytime \( H_1 \) is rejected - D) All are correct #### Q3. Combinatorics How many complete dinners can be created from a menu with 3 appetizers, 5 soft drinks, and 4 desserts if a complete dinner consists of one appetizer, one soft drink, and one dessert? - A) 12 - B) 60 - C) 17280 - D) 30 #### Q4. Distribution Shapes If the mean of data is greater than the median, then the data is: - A) Right Skewed - B) Left Skewed - C) Symmetric - D) Bimodal #### Q5. Probability If \( P(A) = 0.30, P(B) = 0.40 \) and \( P(A \cap B) = 0.20 \), then \( P(A | B) \) is: - A) 0.12 - B) 0.67 - C) 0.08 - D) 0.50 #### Q6. Expected Value Suppose we have a random variable \( X \) where \( P(X = k) = \binom{15}{k} (0.29)^k (0.71)^{15-k} \) for \( k = 0, 1, ..., 15 \). What is the mean \( E(X) \) of \( X \)? - A) 5.22 - B) 0.71
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