Statistics MCQs – Continuous Distributions Part 10
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181. If P (Z > z) = 0.6844 what is the value of z (z has a standard normal distribution) ?
a. -0.48
b. 0.48
c. -1.04
d. 1.04
e. -0.21
Answer: A
182. If P (Z < z) = 0.6844 what is the value of z (z has a standard normal distribution) ?
a. -0.48
b. 0.48
c. -1.04
d. 1.04
e. -0.21
Answer: B
183. If P (Z > z) = 0.8508 what is the value of z (z has a standard normal distribution) ?
a. -0.48
b. 0.48
c. -1.04
d. 1.04
e. -0.21
Answer: C
184. If P (Z < z) = 0.8508 what is the value of z (z has a standard normal distribution) ?
a. -0.48
b. 0.48
c. -1.04
d. 1.04
e. -0.21
Answer: D
185. If P (Z > z) = 0.5832 what is the value of z (z has a standard normal distribution) ?
a. -0.48
b. 0.48
c. -1.04
d. 1.04
e. -0.21
Answer: E
186. If P (Z < z) = 0.5832 what is the value of z (z has a standard normal distribution) ?
a. -0.48
b. 0.48
c. -1.04
d. 1.04
e. 0.21
Answer: E
187. If P (Z > z) = 0.9830 what is the value of z (z has a standard normal distribution) ?
a. -2.12
b. 2.12
c. -1.77
d. 1.77
e. -0.21
Answer: A
188. If P (Z < z) = 0.9830 what is the value of z (z has a standard normal distribution) ?
a. -2.12
b. 2.12
c. -1.77
d. 1.77
e. -0.21
Answer: B
189. If P (Z > z) = 0.9616 what is the value of z (z has a standard normal distribution) ?
a. -2.12
b. 2.12
c. -1.77
d. 1.77
e. -0.21
Answer: C
190. If P (Z < z) = 0.9616 what is the value of z (z has a standard normal distribution) ?
a. -2.12
b. 2.12
c. -1.77
d. 1.77
e. -0.21
Answer: D
191. Given that z is a standard normal random variable and that the area to the left of z is 0.305, then the value of z is:
a. 0.51
b. -0.51
c. 0.86
d. -0.86
Answer: B
e. 0.24
192. The diameters of oranges found in the orchard of an orange farm follow a normal distribution with a mean of 120mm and a standard deviation of 10mm. The smallest 10% of oranges (those with the smallest diameters) cannot be sold and are therefore given away. What is the cut-off diameter in this case if oranges with the smallest 10% of diameters are to be given away?
a. 107.2
b. 103.6
c. 111.6
d. 109.6
e. 105.9
Answer: A
193. The diameters of oranges found in the orchard of an orange farm follow a normal distribution with a mean of 120mm and a standard deviation of 10mm. The smallest 5% of oranges (those with the smallest diameters) cannot be sold and are therefore given away. What is the cut-off diameter in this case if oranges with the smallest 5% of diameters are to be given away?
a. 107.2
b. 103.6
c. 111.6
d. 109.6
e. 105.9
Answer: B
194. The diameters of oranges found in the orchard of an orange farm follow a normal distribution with a mean of 120mm and a standard deviation of 10mm. The smallest 20% of oranges (those with the smallest diameters) cannot be sold and are therefore given away. What is the cut-off diameter in this case if oranges with the smallest 20% of diameters are to be given away?
a. 107.2
b. 103.6
c. 111.6
d. 109.6
e. 105.9
Answer: C
195. The diameters of oranges found in the orchard of an orange farm follow a normal distribution with a mean of 120mm and a standard deviation of 10mm. The smallest 15% of oranges (those with the smallest diameters) cannot be sold and are therefore given away. What is the cut-off diameter in this case if oranges with the smallest 15% of diameters are to be given away?
a. 107.2
b. 103.6
c. 111.6
d. 109.6
e. 105.9
Answer: D
196. The diameters of oranges found in the orchard of an orange farm follow a normal distribution with a mean of 120mm and a standard deviation of 10mm. The smallest 8% of oranges (those with the smallest diameters) cannot be sold and are therefore given away. What is the cut-off diameter in this case if oranges with the smallest 8% of diameters are to be given away?
a. 107.2
b. 103.6
c. 111.6
d. 109.6
e. 105.9
Answer: E
197. The diameters of oranges found in the orchard of an orange farm follow a normal distribution with a mean of 120mm and a standard deviation of 10mm. The farmer would like to select the largest 10% of oranges (those with the largest diameters) in order to be able to keep them for himself and his family to enjoy! What is the cut-off diameter in this case if oranges with the largest 10% of diameters are to be kept?
a. 132.8
b. 136.4
c. 128.4
d. 130.4
e. 134.1
Answer: A
198. The diameters of oranges found in the orchard of an orange farm follow a normal distribution with a mean of 120mm and a standard deviation of 10mm. The farmer would like to select the largest 5% of oranges (those with the largest diameters) in order to be able to keep them for himself and his family to enjoy! What is the cut-off diameter in this case if oranges with the largest 5% of diameters are to be kept?
a. 132.8
b. 136.4
c. 128.4
d. 130.4
e. 134.1
Answer: B
199. The diameters of oranges found in the orchard of an orange farm follow a normal distribution with a mean of 120mm and a standard deviation of 10mm. The farmer would like to select the largest 20% of oranges (those with the largest diameters) in order to be able to keep them for himself and his family to enjoy! What is the cut-off diameter in this case if oranges with the largest 20% of diameters are to be kept?
a. 132.8
b. 136.4
c. 128.4
d. 130.4
e. 134.1
Answer: C
200. The diameters of oranges found in the orchard of an orange farm follow a normal distribution with a mean of 120mm and a standard deviation of 10mm. The farmer would like to select the largest 15% of oranges (those with the largest diameters) in order to be able to keep them for himself and his family to enjoy! What is the cut-off diameter in this case if oranges with the largest 15% of diameters are to be kept?
a. 132.8
b. 136.4
c. 128.4
d. 130.4
e. 134.1
Answer: D