Prepare for Statistics Interview with iQwizz | Difficulty Level: Intermediate | Rating: 4.7

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Question 1

An event has three possible outcomes: A, B, and C. You know P(A) = 0.2 and P(B) = 0.3. What is the value of P(C) according to the law of total probability?

0.7
Cannot be determined
0.5
0.3

Question 2

What does a residual in regression analysis represent?

The difference between the observed value and the predicted value of the dependent variable
The correlation between the independent and dependent variables
The slope of the regression line
The intercept of the regression line

Question 3

Which of the following is NOT an assumption of linear regression?

Independence of observations
Normality of the independent variable
Homoscedasticity (equal variance of errors)
Linearity of the relationship between independent and dependent variables

Question 4

What is the primary difference between simple exponential smoothing and double exponential smoothing?

Simple exponential smoothing uses a moving average, while double exponential smoothing uses an autoregressive model.
Double exponential smoothing considers trend, while simple exponential smoothing does not.
Double exponential smoothing is used for stationary data, while simple exponential smoothing is used for non-stationary data.
Simple exponential smoothing considers seasonality, while double exponential smoothing does not.

Question 5

Let X be a random variable representing the number of heads when you toss a fair coin three times. What is the variance of X?

1
1.5
0.5
0.75

Question 6

If the variance of a random variable is 9, what is its standard deviation?

Question 7

A Chi-square test is most appropriate for analyzing which type of data?

Continuous data
Categorical data
Time series data
Normally distributed data

Question 8

A researcher wants to estimate the average height of students at a university. They take a random sample of 100 students and calculate a 90% confidence interval. If they were to increase the sample size to 400 students and maintain a 90% confidence level, how would the width of the confidence interval change?

It's impossible to determine without knowing the standard deviation.
The width would increase.
The width would stay the same.
The width would decrease.

Question 9

The sampling distribution of a statistic is:

The same as the population distribution.
The distribution of the statistic in a single random sample.
The distribution of the statistic across all possible samples of a given size.
Always normally distributed.

Question 10

What is a Type II error in hypothesis testing?

Failing to reject the null hypothesis when it is false.
Using the wrong test statistic for the data.
Incorrectly calculating the p-value.
Rejecting the null hypothesis when it is true.

Please login before attempting the quiz

Question 1

An event has three possible outcomes: A, B, and C. You know P(A) = 0.2 and P(B) = 0.3. What is the value of P(C) according to the law of total probability?

0.7
Cannot be determined
0.5
0.3

Question 2

What does a residual in regression analysis represent?

The difference between the observed value and the predicted value of the dependent variable
The correlation between the independent and dependent variables
The slope of the regression line
The intercept of the regression line

Question 3

Which of the following is NOT an assumption of linear regression?

Independence of observations
Normality of the independent variable
Homoscedasticity (equal variance of errors)
Linearity of the relationship between independent and dependent variables

Question 4

What is the primary difference between simple exponential smoothing and double exponential smoothing?

Simple exponential smoothing uses a moving average, while double exponential smoothing uses an autoregressive model.
Double exponential smoothing considers trend, while simple exponential smoothing does not.
Double exponential smoothing is used for stationary data, while simple exponential smoothing is used for non-stationary data.
Simple exponential smoothing considers seasonality, while double exponential smoothing does not.

Question 5

Let X be a random variable representing the number of heads when you toss a fair coin three times. What is the variance of X?

1
1.5
0.5
0.75

Question 6

If the variance of a random variable is 9, what is its standard deviation?

Question 7

A Chi-square test is most appropriate for analyzing which type of data?

Continuous data
Categorical data
Time series data
Normally distributed data

Question 8

It's impossible to determine without knowing the standard deviation.
The width would increase.
The width would stay the same.
The width would decrease.

Question 9

The sampling distribution of a statistic is:

The same as the population distribution.
The distribution of the statistic in a single random sample.
The distribution of the statistic across all possible samples of a given size.
Always normally distributed.

Question 10

What is a Type II error in hypothesis testing?

Failing to reject the null hypothesis when it is false.
Using the wrong test statistic for the data.
Incorrectly calculating the p-value.
Rejecting the null hypothesis when it is true.

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