LC2_2023 - Statistical Inference

LC2_2023 - Statistical Inference

University

8 Qs

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LC2_2023 - Statistical Inference

LC2_2023 - Statistical Inference

Assessment

Quiz

Business

University

Practice Problem

Hard

Created by

Daria Yudaeva

Used 1+ times

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8 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the correct interpretation of a confidence interval for a significance level of α=0.05?

If we take 100 samples and calculate the mean and confidence interval for each one of them, then the true population mean would be included in 95% of these intervals.

If we take 100 samples and calculate the mean and confidence interval for each one of them, then the true population mean would be included in 5% of these intervals.

If we take 100 samples and calculate the mean and confidence interval for each one of them, then the true population mean would be included in 100% of these intervals.

For a given sample, there is a 95% chance that the true population mean lies within the confidence interval.

2.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Which statements regarding standard error are TRUE?

There is no connection between the standard deviation and the standard error.

The standard error is a function of the sample size and the standard deviation.

The standard error of the mean decreases as the sample size increases.

The standard error of the mean increases as the standard deviation increases.

None of these

3.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

None of these

4.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Which of the following do you need to compute a confidence interval around a sample mean?

The critical value of the test statistic given a certain level of confidence

A continuous variable (i.e., at least measured at the interval level)

The sample mean

The standard error

None of these

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the correct definition for the confidence interval?

None of these

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

As a marketing manager at Spotify you wish to find the average listening time of your users. Based on a random sample of 180 users you found that the mean listening time for the sample is 7.34 hours per week and the standard deviation is 6.87 hours.

What is the 95% confidence interval for the mean listening time (the corresponding z-value for the 95% CI is 1.96)?

[6.34; 8.34]

  • [7.15; 7.55]

[6.25; 8.15]

[6.54; 8.54]

None of these

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you compute the standardized variate of a variable X?

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