please solve question 12 Q1. A sample of size n = 8 drawn from a normally distributed population has sample mean = 14.8 and samplestandard deviation s=1.92. A 95% confidence interval (CI) for 4 isA) (13.19,16.41)B) (11.14,17.71)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 rejectedB) Anytime Ho is rejectedD) All are correctQ3. How many complete dinners can be created from a menu with 3 appetizers, 5 soft drinks, and 4 desserts if acomplete dinner consists of one appetizer, one soft drink, and one dessert?A) 12B) 60C) 17280D) 30Q4. If the mean of data greater than the median, then the data is:A) Right SkewedB) Left SkewedC) SymmetricD) bimodalQ5. If P(A)=0.30, P(B)= 0.40 and P(AB)=0.20, then P(A/B) is:A) 0.12B) ) 0.67C) 0.08D) 0.50Q6. Suppose we have a random variable X where P(X = k) = 15-(1)-(0.29) (0.729) (0.71) for k=0,1,15.What is the mean E(X) of X?A) 5.22B) 0.71C) 4.35D) 10.65Q7. A numerical summary (value) of a population is calledA) StatisticB) MeasurementC) SampleD) Parameter*If n=32, x=26.2, o=5.15, a=0.05:answer the following Two questionsQ8. The confidence interval for the population mean isD) (23.95, 28.54)A) (26.08, 26.32)B) (24.42, 27.98)C) (24.42, 27.56)Q9. The maximum error (the margin of error) of the estimation "E" is:A) 1.78D) 0.62B) 0.78C) 1.96Q10. Based on the following scatter plots, the sample correlation coefficients (r)between y and x is:D) 1C) 0A) PositiveB) NegativeD) 3.5C) 7.5Q11. Consider the following observations, 3 3 4 5 6 7 8 10. The third quartile Q3 is:B) 3A) 8D) P(B)C) P(A)Q12. If A and B are two independent events, then P(B|A) =B) P(A)P(B)A) 0D) Z 1.96=25,H₁:25, the rejection region isQ13. If n = 32,0 = 5.15, = 26.2, a = 0.1. In testing Ho:B) Z 1.645 C) Z 1.96A) Z 1.645

Question

please solve question 12 Q1. A sample of size n = 8 drawn from a normally distributed population has sample mean = 14.8 and samplestandard deviation s=1.92. A 95% confidence interval (CI) for 4 isA) (13.19,16.41)B) (11.14,17.71)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 rejectedB) Anytime Ho is rejectedD) All are correctQ3. How many complete dinners can be created from a menu with 3 appetizers, 5 soft drinks, and 4 desserts if acomplete dinner consists of one appetizer, one soft drink, and one dessert?A) 12B) 60C) 17280D) 30Q4. If the mean of data greater than the median, then the data is:A) Right SkewedB) Left SkewedC) SymmetricD) bimodalQ5. If P(A)=0.30, P(B)= 0.40 and P(AB)=0.20, then P(A/B) is:A) 0.12B) ) 0.67C) 0.08D) 0.50Q6. Suppose we have a random variable X where P(X = k) = 15-(1)-(0.29) (0.729) (0.71) for k=0,1,15.What is the mean E(X) of X?A) 5.22B) 0.71C) 4.35D) 10.65Q7. A numerical summary (value) of a population is calledA) StatisticB) MeasurementC) SampleD) Parameter*If n=32, x=26.2, o=5.15, a=0.05:answer the following Two questionsQ8. The confidence interval for the population mean isD) (23.95, 28.54)A) (26.08, 26.32)B) (24.42, 27.98)C) (24.42, 27.56)Q9. The maximum error (the margin of error) of the estimation "E" is:A) 1.78D) 0.62B) 0.78C) 1.96Q10. Based on the following scatter plots, the sample correlation coefficients (r)between y and x is:D) 1C) 0A) PositiveB) NegativeD) 3.5C) 7.5Q11. Consider the following observations, 3 3 4 5 6 7 8 10. The third quartile Q3 is:B) 3A) 8D) P(B)C) P(A)Q12. If A and B are two independent events, then P(B|A) =B) P(A)P(B)A) 0D) Z<-1.96 or Z> 1.96=25,H₁:25, the rejection region isQ13. If n = 32,0 = 5.15, = 26.2, a = 0.1. In testing Ho:B) Z<-1.645 or Z> 1.645 C) Z> 1.96A) Z> 1.645

Accepted Answer

Given that 
Two events A and B  are independent. 
Then
P(A ∩ B)=P(A).P(B)

C) Z> 1.96 Q13. If n = 32,0 = 5.15, = 26.2, a = 0.1. In t A) Z> 1.645 B) Z<-1.645 or Z> 1.645 D) Z<-1.96 or Z> 1.96