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TEST 1: Goal 1 & 2
This test is associated with STEM dataset. STEM - Science, technology, engineering, and mathematics is a broad term used to group together these academic disciplines. This term is typically used to address an education policy or curriculum choices in schools. It has implications for workforce development, national security concerns and immigration policy.This dataset contains data about STEM jobs - salaries, location, their education, workers gender and timestamp column.
Name
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First Name
Last Name
Age
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Please Select
Lessn than 18
19-29
30-39
40-49
50-60
60+
your email
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example@example.com
1) The process of using sample statistics to draw conclusions about population parameters is called: (5-marks)
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a) inferential statistics.
b) experimentation.
c) primarysources.
d) descriptive statistics.
e) the scientific method.
2) The number of Kuwaitis' travelling to Dubai by car today is an example of: (5-marks)
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a) discrete numerical data.
b) categorical data.
c) continuous numerical data.
d) discrete categorical data.
e) continuous categorical data.
3) A summary measure that is computed from only a sample of the population is called: (5-marks)
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a) A parameter.
b) A census.
c) A statistic.
d) The scientific method.
e) All of the above.
4) In a right skew distribution: (5-marks)
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a) The median, mean and mode are all equal.
b) The median and mode are both smaller than the mean.
c) The median and mode are both larger than the mean.
d) The distance between Q1 and the median and Q3 and the median is equal.
e) None of the above.
5) The average waiting time at the drive thru’ section of a popular hamburger chain is 4 minutes with a standard deviation of 1 minute. What is the probability that a customer would have to wait longer than 3.5 minutes? (5-marks)
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a) 0.5000
b) 0.2375
c) 0.7523
d) 0.3085
e) 0.6915
6) The average waiting time at the drive thru’ section of a popular hamburger chain is 4 minutes with a standard deviation of 1 minute. If a sample of 100 customers (n=100) is taken, what is the probability that the sample mean is less than 4.2 minutes? (5-marks)
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a) 0.0228
b) 0.4207
c) 0.5793
d) 0.9772
e) 1.0000
7) The 1,000 customers sampled were also asked to estimate how much they spend per visit at this hamburger chain. From this sample data, it was found that on average customers spend $10.42 per visit with a standard deviation of $6.24. The correct 95% confidence interval for the mean of all customers spending per visit to this hamburger chain is: (5-marks)
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a) 8.11 to 12.43
b) 4.18 to 16.66
c) 10.03 to 10.81
d) 9.72 to 11.36
e) 9.91 to 10.93
8) Using the attached dataset "Levels_Fyi_Salary_Data_Exam1.xlsx", how many variables and cases inside the file: (5-marks)
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variable = 29, Cases = 62643
variable = 29, Cases = 62642
variable = 28, Cases = 62643
variable = 28, Cases = 62642
9) Using the attached dataset "Levels_Fyi_Salary_Data_Exam1.xlsx", which is the most frequent title among the other titles: (5-marks)
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Software Engineer
Hardware Engineer
Business Analyst
Data Scientist
10) Using the attached dataset "Levels_Fyi_Salary_Data_Exam1.xlsx", percentage of females working in "Apple" in the company level: (5-marks)
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16.05%
83.95%
2.10%
13.04%
11) Using the attached dataset "Levels_Fyi_Salary_Data_Exam1.xlsx", average base salaries of males working in "Amazon" with title "Data Scientist" in the company level: (5-marks)
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148,015
137,396
128,200
134,144
12) Using the attached dataset "Levels_Fyi_Salary_Data_Exam1.xlsx", the standard deviation of total yearly compensation for employees working in "Apple" with title "Business Analyst" in the company level: (5-marks)
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86,369
144,666
109,601
183,800
13) Using the attached dataset "Levels_Fyi_Salary_Data_Exam1.xlsx", let assume that the base salaries is normally distributed, if a "female" received a job offer from "Microsoft" to work as "Management Consultant", what is the probability that her annual salary will exceed 155,000? (5-marks)
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0.422
0.319
0.231
0.118
14) Using the attached dataset "Levels_Fyi_Salary_Data_Exam1.xlsx", let assume that the base salaries is normally distributed, if a "male" from "Asia" and he has "Master Degree" received a job offer from "Apple" to work as "Hardware Engi5neer", what is the probability that his annual salary will exceed 188,000? (5-marks)
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0.277
0.202
0.321
0.121
15) Take the formula Z = (X – μ)/σ, where μ is the mean of the population, X is the value of the element, Z is the z-score and σ is the standard deviation. What does this formula calculate? (5-marks)
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A. Confidence interval.
B. Standard score.
C. Standard error of the mean.
D. Variance.
16) A population has a mean of μ=35 and a standard deviation of σ=5. After 3 points are added to every score in the population, what are the new values for the mean and standard deviation? (5-marks)
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μ=35 and σ=5
μ=35 and σ=8
μ=38 and σ=5
μ=38 and σ=8
17) If the scores on a test have a mean of 26 and a standard deviation of 4, what is the z-score for a score of 18? (5-marks)
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A. 2
B. 11
C. -2
D. –1.41
18) Approximately what percentage of people would have scores lower than an individual with a z-score of 1.65 in a normally distributed sample? (5-marks)
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95%
98%
90%
1%
19) Provided that the ACT is reasonably normally distributed with a mean of 18 and standard deviation of 6, determine the proportion of students with a 33 or higher. (5-marks)
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a. 0.0062
b. 0.0109
c. 0.0124
d. 0.0217
20) There are twenty multiple-choice questions on an exam, each having responses a, b, c, or d. Each question is worth five points and only one option per question is correct. Suppose the student guesses the answer to each question, and the guesses from question to question are independent. What is the probability that he/she will have at least 10 questions will be correct? (5-marks)
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a. 0.062
b. 0.014
c. 0.103
d. 0.027
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