*Assume that the random variable X is normally distributed, with mean - 45 and standard deviation 16. Answer the following Two questions: Q14. The probability P(X=77)- A) 0.8354 B) 0.9772 Q15. The mode of a random variable X is: C)0 D) 0.0228 A) 66 B) 45 C) 3.125 D) 50 Q16. 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 90% confidence interval (CI) for is A) (13.19,16.41) B) (11.14,17.71) C) (13.51,16.09) D) (11.81,1582) Q17. Based on the following scatter plots, the sample correlation coefficients (r) between y and x is A) Positive B) Negative C) 0 D) 1 Q18. If n = 32,0 = 5.15, % = 26.2, a = 0.05, In testing H: A) Z> 1.645 B) Z<-1.645 or Z> 1.645 25,H₁:25, the rejection region is C) Z> 1.96 D) Z<-1.96 or Z> 1.96 Q19. A numerical summary (value) of a sample is called A) Measurement B) Statistic C) Sample D) Parameter Q20. How many complete dinners can be created from a menu with 3 appetizers, 5 soft drinks, and 2 desserts if a complete dinner consists of one appetizer, one soft drink, and one dessert? A) 12 B) 60 C) 17280 D) 30 If n=32, *= 26.2, o=5.15,a=0.01 :answer the following Two questions Q21. The confidence interval for the population mean is A) (26.08, 26.32) D) (23.86, 28.54) C) (24.42, 27.56) B) (24.42, 27.98) Q22. The maximum error (the margin of error) of the estimation "E" is: B) 0.78 A) 1.78 C) 2.34 D) 0.62 Q23. Let Z be a standard normal variable, find k such that P(-1.5

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Question

please solve question 21 and 23

*Assume that the random variable X is normally distributed, with mean - 45 and standard deviation 16. Answer
the following Two questions:
Q14. The probability P(X=77)-
A) 0.8354
B) 0.9772
Q15. The mode of a random variable X is:
C30
D) 0.0228
A) 66
B) 45
C) 3.125
D) 50
Q16. 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 90% confidence interval (CI) for is
A) (13.19.16.41)
B) (11.14,17.71)
C) (13.51,16.09)
D) (11.81,1582)
Q17. Based on the following scatter plots, the sample correlation coefficients (r)
between y and x is
A) Positive
B) Negative
C)0
D) 1
Q18. If n = 32,0 = 5.15, 2= 26.2, a = 0.05, In testing H:
A) Z> 1.645 B) Z<-1.645 or Z> 1.645
25,H₁:25, the rejection region is
C) Z> 1.96
D) Z<-1.96 or Z> 1.96
Q19. A numerical summary (value) of a sample is called
A) Measurement
B) Statistic
C) Sample
D) Parameter
Q20. How many complete dinners can be created from a menu with 3 appetizers, 5 soft drinks, and 2 desserts if a
complete dinner consists of one appetizer, one soft drink, and one dessert?
A) 12
B) 60
C) 17280
D) 30
• If n = 32, x=26.2, o=5.15,a=0.01 :answer the following Two questions
Q21. The confidence interval for the population mean is
B) (24.42, 27.98)
A) (26.08, 26.32)
D) (23.86, 28.54)
C) (24.42, 27.56)
Q22. The maximum error (the margin of error) of the estimation "E" is:
B) 0.78
A) 1.78
D) 0.62
C) 2.34
Q23. Let Z be a standard normal variable, find k such that P(-1.5<Z<k)=0.627.
C) 0.5067
D) 0.5523
A) 0.3846
B) 0.3223
X
3
Y
8
*Consider the following table, and answer the following Two questions
Q24. Find the linear regression equation y = a + bx
D) -10.11-0.7lx
B) ŷ 13.11-0.81x C) -10.16-0.67x
A) =9.54-0.60x
C) -0.9603
Q25. The correlation coefficient (r) between X and Y is:
B) 0.8632
A) -0.8987
Lenswer:
D) -0.9107
46
67
85
7
10
Sm
Transcribed Image Text:*Assume that the random variable X is normally distributed, with mean - 45 and standard deviation 16. Answer the following Two questions: Q14. The probability P(X=77)- A) 0.8354 B) 0.9772 Q15. The mode of a random variable X is: C30 D) 0.0228 A) 66 B) 45 C) 3.125 D) 50 Q16. 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 90% confidence interval (CI) for is A) (13.19.16.41) B) (11.14,17.71) C) (13.51,16.09) D) (11.81,1582) Q17. Based on the following scatter plots, the sample correlation coefficients (r) between y and x is A) Positive B) Negative C)0 D) 1 Q18. If n = 32,0 = 5.15, 2= 26.2, a = 0.05, In testing H: A) Z> 1.645 B) Z<-1.645 or Z> 1.645 25,H₁:25, the rejection region is C) Z> 1.96 D) Z<-1.96 or Z> 1.96 Q19. A numerical summary (value) of a sample is called A) Measurement B) Statistic C) Sample D) Parameter Q20. How many complete dinners can be created from a menu with 3 appetizers, 5 soft drinks, and 2 desserts if a complete dinner consists of one appetizer, one soft drink, and one dessert? A) 12 B) 60 C) 17280 D) 30 • If n = 32, x=26.2, o=5.15,a=0.01 :answer the following Two questions Q21. The confidence interval for the population mean is B) (24.42, 27.98) A) (26.08, 26.32) D) (23.86, 28.54) C) (24.42, 27.56) Q22. The maximum error (the margin of error) of the estimation "E" is: B) 0.78 A) 1.78 D) 0.62 C) 2.34 Q23. Let Z be a standard normal variable, find k such that P(-1.5<Z<k)=0.627. C) 0.5067 D) 0.5523 A) 0.3846 B) 0.3223 X 3 Y 8 *Consider the following table, and answer the following Two questions Q24. Find the linear regression equation y = a + bx D) -10.11-0.7lx B) ŷ 13.11-0.81x C) -10.16-0.67x A) =9.54-0.60x C) -0.9603 Q25. The correlation coefficient (r) between X and Y is: B) 0.8632 A) -0.8987 Lenswer: D) -0.9107 46 67 85 7 10 Sm
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