Page 180 - Data Science class 11
P. 180
Solved Exercise
Standard Questions (Section B)
A. Tick ( ) the correct option.
1. Complete the following sentence: A small standard deviation (relative to the value of the mean itself)
a. Indicates that the data points are distant from the mean.
b. Indicates that the mean is a poor fit of the data.
c. Indicates that data points are close to the mean (i.e. the mean is a good fit of the data).
d. Indicates that you should analyse your data with a non-parametric test.
2. Complete the following sentence: A large standard deviation (relative to the value of the mean itself)
(Hint: The standard deviation is a measure of the dispersion or spread of data around the mean.)
a. Indicates that the data points are distant from the mean (i.e. the mean is a poor fit of the data).
b. Indicates that the data points are close to the mean.
c. Indicates that the mean is a good fit of the data.
d. Indicates that you should analyse your data with a parametric test.
3. Which of the following is true about a 95% confidence interval of the mean:
a. 95 out of 100 sample means will fall within the limits of the confidence interval.
b. 95 out of 100 confidence intervals will contain the population mean.
c. 95% of population means will fall within the limits of the confidence interval.
d. There is a 0.05 probability that the population mean falls within the limits of the confidence interval.
4. ‘Children can learn a second language differently before the age of 7 than after.’ Is this statement:
a. A non-scientific statement b. A one-tailed hypothesis
c. A null hypothesis d. A two-tailed hypothesis
5. What does the assumption of independence mean?
a. This assumption means that none of your independent variables are correlated.
b. This assumption means that the errors in your model are not related to each other.
c. This assumption means that you must use an independent design rather than a repeated-measures design.
d. This assumption means that the residuals in your model are not independent.
6. What is the relationship between sample size and the standard error of the mean? (Hint: The law of large numbers
applies here: the larger the sample is, the better it will reflect that particular population.)
a. The standard error decreases as the sample size decreases.
b. The standard error is unaffected by the sample size.
c. The standard error increases as the sample size increases.
d. The standard error decreases as the sample size increases.
178 Touchpad Data Science-XI

