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Zusatz Tutorium
Zusatz Tutorium
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1
What does a 99% confidence interval imply?
We are 99% confident that the sample mean lies within the population mean.
The prob. that the population parameter lies within the interval is 0.99
99% confident the population mean is within the interval based on sample.
The sample mean is 99% accurate.
2
In a hypothesis test, what is the consequence of increasing the significance level α?
It makes the test more conservative.
It makes the test more likely to reject the null hypothesis.
It increases the probability of making a Type II error.
It reduces the risk of making a Type I error.
3
If two random variables
X
and
Y
are stochastically independent, what is the conditional probability
P(X∣Y)?
It is equal to 0
It is equal to P(X and Y)
It is equal to P(Y)
It is equal to P(X)
4
What is the median of the following data set?: 3, 7, 9, 12, 14
12
10
7
9
5
Which of the following data sets has no mode?
2, 3, 3, 5, 6
8,8, 9, 10, 10
4, 5, 6, 7
1, 1, 1, 1
6
What type of relationship does Kendall's Tau measure?
No relationship between two variables
Linear relationship between two variables
Nonlinear relationship between two variables
Monotonic relationship between two variables
7
Which test is appropriate to compare the mean of a sample to a known population mean (σ unknown)?
One-sample z-test
Two-sample t-test
One-sample t-test
Paired t-test
8
What does the standard error (SE) of the mean measure?
The average deviation of the data points from the mean.
The variance of the population.
The difference between the sample mean and population mean.
The variability of sample means from the true population mean
9
What is the primary purpose of a Chi-Square (χ²) test in statistics?
To estimate a population parameter
To test if two numerical variables are linearly related
To compare means between two groups
To test whether two categorical variables are independent
10
When comparing the means of two independent groups and population variances are unknown, which test should you use?
Two-sample t-test
Paired t-test
Two-sample z-test
One-sample t-test
11
On which scale level is the following variable measured: shoe size
Interval
Ordinal
Ratio
Nominal
12
What is a
Type I error
in hypothesis testing?
Failing to reject a true null hypothesis.
Rejecting a false alternative hypothesis.
Failing to reject a false null hypothesis.
Rejecting a true null hypothesis.
13
A positive skew in a dataset means:
The left tail is longer
The right tail is longer
The data has no outliers
The data is symmetric
14
Which of the following is true about both Kendall's Tau and Goodman's Gamma?
They both measure the strength of a linear relationship.
They both provide a value between -1 and 1.
They are both used to measure the correlation between categorical variables
They both rely on ranking data and comparing pairs of observations.
15
On which scale level is the following variable measured: Number of points achieved in an exam
Nominal
Ratio
Absolut
Ordinal
16
The confidence level determines the width of the confidence interval. What happens if the confidence level increases?
The confidence interval gets narrower.
The sample size must increase.
The confidence interval stays the same.
The confidence interval gets wider.
17
What does a small Herfindahl Index (RHF) indicate about a market? (0)
The market is close to perfect competition
The market is highly competitive
The market has many small firms
The market is highly concentrated
18
Is a small p-value (e.g., < 0.05) evidence
against
the null hypothesis?
False
True
19
Should you use a t-test for a small sample size (n < 30) when the population standard deviation is unknown?
True
False
