Statistics Practice Test: University Statistics
30 questions from 10 lessons · 90 minutes · percent score and grade · step-by-step answers
How it works
- 30 questions, about 90 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 16 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise these lessons next: the lessons of the questions you got wrong, with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
Formulas: the University Statistics formula sheet.
1 Question 1
x: 0, 1, 2, 3; P(x): 0.1, 0.3, 0.4, 0.2, find the mean- A) 1.5
- B) 17
- C) 1
- D) 1.7
2 Question 2
X: 1, 2, 3, 4, 5; P(x): 0.1, 0.2, 0.3, 0.3, 0.1, find the expected value- A) 1
- B) 31
- C) 3
- D) 3.1
3 Question 3
x: 0, 1, 2, 3, 4; P(x): 0.05, 0.15, 0.4, 0.3, 0.1, find the meanType the answer.
4 Question 4
Poisson mean 2, P(X = 3)- A) 6
- B) 2
- C) 0.1804
- D) 1
5 Question 5
A road has an average of 3 accidents a week, probability of exactly 1 accident in a week- A) 3
- B) 0.1494
- C) 1
- D) 1.494
6 Question 6
Poisson mean 2.5, P(X <= 2)Type the answer.
7 Question 7
Find the probability of success 0.2, P(first success on try 3).- A) 128
- B) 0.1024
- C) 0.1280
- D) 0.2
8 Question 8
Roll a die until a 6, P(first 6 on roll 4)- A) P(X = 4) ≈ 0.0965
- B) P(X = 4) ≈ 0.00965
- C) 0.0804
- D) P(X = 4) ≈ 0.965
9 Question 9
Find the probability of success 0.05, expected number of tries.Type the answer.
10 Question 10
Normal: P(X < 60), mean 50, sd 10- A) P(X < 60) = 0.08413
- B) P(X < 60) = 8.413
- C) P(X < 60) = 0.8413
- D) P(X < 60) = 1
11 Question 11
Normal: P(40 < X < 65), mean 50, sd 10- A) 0.7745
- B) 7.745
- C) 1.5
- D) 0.07745
12 Question 12
Normal: P(X < 480), mean 500, sd 25Type the answer.
13 Question 13
Normal mean 50, sd 10: value with 90% below it- A) 0.9
- B) 628
- C) 6.28
- D) 62.8
14 Question 14
Normal mean 100, sd 10: top 2.5%- A) 11960
- B) 119.6
- C) 80.4
- D) 0.975
15 Question 15
Calculate 33rd percentile, mean 50, sd 10Type the answer.
16 Question 16
Samples of 36 from mean 50, sd 12: P(sample mean > 53)- A) 1.5
- B) 50
- C) 0.0668
- D) 0.4013
17 Question 17
Samples of 100 from mean 500, sd 50: P(sample mean > 510)- A) 0.4207
- B) 0.0228
- C) 2
- D) 500
18 Question 18
Samples of 9 from mean 60, sd 6: P(sample mean > 64)Type the answer.
19 Question 19
Calculate 95% confidence interval: mean 50, sd 8, n 64- A) (48.04, 51.96)
- B) (49.755, 50.245)
- C) (51.96, 48.04)
20 Question 20
Calculate 95% confidence interval: mean 64.5, sd 7, n 49- A) (66.46, 62.54)
- B) (62.54, 66.46)
- C) (64.22, 64.78)
21 Question 21
Calculate 90% confidence interval: mean 5.6, sd 1.5, n 20Type the answer.
22 Question 22
95% confidence interval: sample mean 50, sample sd 8, n 16Type the answer.
23 Question 23
98% confidence interval: sample mean 100, sample sd 12, n 9Type the answer.
24 Question 24
98% confidence interval: sample mean 9, sample sd 1.5, n 15Type the answer.
25 Question 25
Calculate 95% confidence interval: 120 of 400 say yesType the answer.
26 Question 26
Calculate 99% confidence interval: 300 of 1000 own a carType the answer.
27 Question 27
Calculate 90% confidence interval: 410 of 820 agreeType the answer.
28 Question 28
Sample size: 95% confidence, sd 15, error bound 2- A) n = 217
- B) n = 216
- C) n = 0.9750
- D) n = 216.09
29 Question 29
Sample size: 95% confidence, sd 6, error bound 1.5- A) n = 620
- B) n = 62
- C) n = 0.9750
- D) n = 61
30 Question 30
Sample size for a proportion: 95% confidence, error bound 0.02Type the answer.