*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 C)0 D) 0.0228 B) 0.9772 Q15. The mode of a random variable X is: B) 45 A) 66 C) 3.125 D) 50

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pleaseee sir solve question 14 and 15

*Assume that the random variable X is normally distributed, with mean - 45 and standard deviation 6-16. 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
A) 66
D) 0.0228
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) (11.81,15.82)
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,:u=25,H₁:25, the rejection region is
A) Z> 1.645 B) Z<-1.645 or 2 > 1.645 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
A) (26.08, 26.32)
D) (23.86, 28.54)
B) (24.42, 27.98)
C) (24.42, 27.56)
of the estimation "E" is:
C) 2.34
D) 0.62
Q22. The maximum error (the margin of error)
B) 0.78
A) 1.78
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
10
X
4
3
Y 8
6
D) y=10.11-0.7lx
*Consider the following table, and answer the following Two questions
Q24. Find the linear regression equation y = a + bx
B) y=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
tonswer:
D) -0.9107
6
7
85
am
Transcribed Image Text:*Assume that the random variable X is normally distributed, with mean - 45 and standard deviation 6-16. 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 A) 66 D) 0.0228 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) (11.81,15.82) 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,:u=25,H₁:25, the rejection region is A) Z> 1.645 B) Z<-1.645 or 2 > 1.645 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 A) (26.08, 26.32) D) (23.86, 28.54) B) (24.42, 27.98) C) (24.42, 27.56) of the estimation "E" is: C) 2.34 D) 0.62 Q22. The maximum error (the margin of error) B) 0.78 A) 1.78 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 10 X 4 3 Y 8 6 D) y=10.11-0.7lx *Consider the following table, and answer the following Two questions Q24. Find the linear regression equation y = a + bx B) y=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 tonswer: D) -0.9107 6 7 85 am
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