Q15. If P(Q)-0.45, P(R)-0.3 are mutually exclusive, then P(QR) is A) 0.3 B) 0.45 C) 0.12 D) None Q16. Suppose a 99% confidence interval for the population mean (4) is given by (123.7, 153.5). Find the point estimate of : A) 2.575 B) 277.2 C) 138.6 D) 137.6 *Assume that the random variable X is normally distributed, with mean u 50 and standard deviation o=16. Answer the following Two questions: Q17. The probability P(X-70)- A) 0.8944 B) 0.8819 C) 0.0156 D) 0 Y is 918. The mode of a random va

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please solve question 15 and 17

Q14. In testing, H:u=2 vs H₁: u>2 using a = 0.1, a random sample of size n-6 from normal population with
x=2.6, s=0.4336 is obtained. The observed test statistic is
A) 2.44
B) 3.39
C) 1.22
D) 1.13
Q15. If P(Q)-0.45, P(R)-0.3 are mutually exclusive, then P(QR) is
A) 0.3
B) 0.45
C) 0.12
D) None
Q16. Suppose a 99% confidence interval for the population mean (4) is given by (123.7, 153.5). Find the point
estimate of :
A) 2.575
B) 277.2
C) 138.6
D) 137,6
*Assume that the random variable X is normally distributed, with mean u 50 and standard deviation o=16. Answer
the following Two questions:
Q17. The probability P(X=70)=
A) 0.8944
C) 0.0156
D) 0
B) 0.8819
Q18. The mode of a random variable X is:
A) 66
B) 45
C) 50
D) 3.125
Q19. Let Z be a standard normal variable, find k such that P(-2<Z<k)=0.627.
A) 0.3846
B) 0.3223
C) 0.5067
D) 0.5523
*Consider the following discrete probability distribution when
answering the following Two questions:
X
1
2
3
P(X)
0.15
0.25
0.3
Q20. What is the probability that P(X² <9)=
B) 0.45
C) 0.7
D) 1
A) 0.55
Q21. What is the E(X) (mean) of the random variable X? (rounded off to two decimal places).
A) 1.80
B) 1.85
C) 1.45
D) 1.55
*The mean height of residents in a large city is -69 Inches with a standard deviation o=5.1 Inches. Assume the
height of residents is normally distributed. Answer the following Two questions:
Q22. If a resident is randomly selected from this city, the probability that his height is less than 74.1 Inches is about:
A) 0.3413
B) 0.8413
C) 0.1521
D) 0.8023
Q23. If 25 residents are randomly selected from this city, the probability that their average height (X) is less than
68.2 Inches is about
A) 0.3120
D) 0.1521:
B) 0.2525
C) 0.2177
1
X
3
4
6
8
*Consider the following table, and answer the following Two questions
Q24. Find the linear regression equation j = a + bx
Y
A) -9.54-0.60x B) y=13.11-0.81x C) =10.16-0.67x
Q25. The correlation coefficient (r) between X and Y is:
A)-0.8987
B) 0.8632
C) -0.9603
0
0.3
8
7
7
D) -10.11-0.71x
D) -0.9107
5
Transcribed Image Text:Q14. In testing, H:u=2 vs H₁: u>2 using a = 0.1, a random sample of size n-6 from normal population with x=2.6, s=0.4336 is obtained. The observed test statistic is A) 2.44 B) 3.39 C) 1.22 D) 1.13 Q15. If P(Q)-0.45, P(R)-0.3 are mutually exclusive, then P(QR) is A) 0.3 B) 0.45 C) 0.12 D) None Q16. Suppose a 99% confidence interval for the population mean (4) is given by (123.7, 153.5). Find the point estimate of : A) 2.575 B) 277.2 C) 138.6 D) 137,6 *Assume that the random variable X is normally distributed, with mean u 50 and standard deviation o=16. Answer the following Two questions: Q17. The probability P(X=70)= A) 0.8944 C) 0.0156 D) 0 B) 0.8819 Q18. The mode of a random variable X is: A) 66 B) 45 C) 50 D) 3.125 Q19. Let Z be a standard normal variable, find k such that P(-2<Z<k)=0.627. A) 0.3846 B) 0.3223 C) 0.5067 D) 0.5523 *Consider the following discrete probability distribution when answering the following Two questions: X 1 2 3 P(X) 0.15 0.25 0.3 Q20. What is the probability that P(X² <9)= B) 0.45 C) 0.7 D) 1 A) 0.55 Q21. What is the E(X) (mean) of the random variable X? (rounded off to two decimal places). A) 1.80 B) 1.85 C) 1.45 D) 1.55 *The mean height of residents in a large city is -69 Inches with a standard deviation o=5.1 Inches. Assume the height of residents is normally distributed. Answer the following Two questions: Q22. If a resident is randomly selected from this city, the probability that his height is less than 74.1 Inches is about: A) 0.3413 B) 0.8413 C) 0.1521 D) 0.8023 Q23. If 25 residents are randomly selected from this city, the probability that their average height (X) is less than 68.2 Inches is about A) 0.3120 D) 0.1521: B) 0.2525 C) 0.2177 1 X 3 4 6 8 *Consider the following table, and answer the following Two questions Q24. Find the linear regression equation j = a + bx Y A) -9.54-0.60x B) y=13.11-0.81x C) =10.16-0.67x Q25. The correlation coefficient (r) between X and Y is: A)-0.8987 B) 0.8632 C) -0.9603 0 0.3 8 7 7 D) -10.11-0.71x D) -0.9107 5
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