Statistics Quiz Solution: Online Quiz 1 - Statistics Module, USQ 2020

This document presents the solutions to an online statistics quiz. The quiz covers a range of statistical concepts, including continuous quantitative variables, descriptive statistics, and grouped frequency distributions. The solution provides answers to multiple-choice questions and true/false statements, along with explanations and references to support the answers. The quiz includes questions on topics such as the amount of milk produced by a cow, relative frequency, interquartile range, standard deviation, discrete probability distributions, confidence intervals, and hypothesis testing. The document also includes references to relevant statistical literature. The quiz is designed to assess understanding of fundamental statistical principles and the ability to apply them to practical scenarios.

Running Head: MCQ TEST ON STATISTICS
MCQ TEST ON STATISTICS
Name of the Student:
Name of the University:
Author Note:

1MCQ TEST ON STATISTICS
Question 1: The amount of milk produced by a cow in 24-hour period
Question 2: Descriptive Statistics
Question 3: True
[ number of classes= range of scores
length of class interval
If there are large number of observations, the range will become larger. Hence, the number of
class intervals will increase.]
Question 4: 26
[Relative frequency of calls with 15 minutes or longer duration=0.10+0.07+0.07+0.02=0.26
Hence the number of calls that lasted 15 minutes or more out of 100 random calls= 0.26*100=
26.]
Question 5: 68.26 %
Question 6: Interquartile range and median (Anderson 2011).
Question 7: True (Plonsky 2015).
[In a positively skewed distribution, the right tail is longer than the left tail of the distribution.
Hence the spread from minimum value to first quartile will be less than the distance between
third quartile and the maximum value.]
Question 8: The standard deviation for this data would be 4.71 grams.
Question 9: True
Question 10: It is a discrete probability distribution (Ahsanullah 2014).

2MCQ TEST ON STATISTICS
Question 11: True
[Due to symmetrical property of standard normal distribution, ϕ ( x ) =1−ϕ (−x).]
Question 12: Distribution is approximately normal with mean=10 minutes and standard
error=0.8 minutes.
Question 13: False (Hinton 2014).
Question 14: True
Question 15: Approximately normal with a mean of $50.50
Question 16: False.
Question 17: (12.1195, 12.1605)
[90 % C . I . for mean=sample mean ± zα /2
σ
√ n , where α=90%, σ = standard deviation, n= sample
size.]
Question 18: We reject a null hypothesis that is true (Black 2019).
Question 19: The sample proportion is less than 0.65.
Question 20: True (Lowry 2014).

3MCQ TEST ON STATISTICS
References
Ahsanullah, M., Kibria, B.G. and Shakil, M., 2014. Normal Distribution. In Normal and Student´
st Distributions and Their Applications (pp. 7-50). Atlantis Press, Paris.
Anderson, D.R., Sweeney, D.J. and Williams, T.A., 2011. Essentials of statistics for business
and economics, revised. Cengage Learning.
Black, K., 2019. Business statistics: for contemporary decision making. John Wiley & Sons.
Hinton, P.R., 2014. Statistics explained. Routledge.
Lowry, R., 2014. Concepts and applications of inferential statistics.
Plonsky, L., 2015. Statistical power, p values, descriptive statistics, and effect sizes: A “back-to-
basics” approach to advancing quantitative methods in L2 research. In Advancing quantitative
methods in second language research (pp. 23-45). Routledge.