2026

Mathematics & Logic

Data Analysis in Practice

Apply your statistical knowledge to real-world problems requiring quantitative reasoning.

#logic#statistics#probability#data analysis#hypothesis testing#2026 quiz#distributions#inference

Quiz Intelligence

Total Questions

8

Difficulty Level

medium

Progress

0/0

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Quiz Questions

Answer all questions below and test your knowledge.

1
A company tests a new website design with 100 randomly selected users, comparing conversion rates to the old design. What type of statistical test is most appropriate to determine if the new design has a significantly higher conversion rate?
Question 1
2
The correlation coefficient between study hours and exam scores for a class is found to be 0.85. Which interpretation is correct?
Question 2
3
In a hypothesis test, the p-value is calculated as 0.03. If the significance level is set at 0.05, what is the correct conclusion?
Question 3
4
A dataset has a mean of 50 and a standard deviation of 10. According to Chebyshev's inequality, what is the minimum proportion of data guaranteed to lie within 2.5 standard deviations of the mean?
Question 4
5
A confidence interval for a population mean is calculated as (42.1, 49.3) from a sample. If the null hypothesis states the population mean is 45, what should you conclude at the corresponding significance level?
Question 5
6
A researcher wants to estimate the average height of adults in a city. She uses a simple random sample of 400 people. Which factor will NOT reduce the width of a 95% confidence interval for the mean height?
Question 6
7
A factory's production process is designed to fill bags with a mean of 500g. Quality control takes periodic samples. Which scenario describes a Type II error?
Question 7
8
The power of a statistical test is defined as:
Question 8

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Data Analysis in Practice

Quiz Intelligence

Quiz Questions

A company tests a new website design with 100 randomly selected users, comparing conversion rates to the old design. What type of statistical test is most appropriate to determine if the new design has a significantly higher conversion rate?

The correlation coefficient between study hours and exam scores for a class is found to be 0.85. Which interpretation is correct?

In a hypothesis test, the p-value is calculated as 0.03. If the significance level is set at 0.05, what is the correct conclusion?

A dataset has a mean of 50 and a standard deviation of 10. According to Chebyshev's inequality, what is the minimum proportion of data guaranteed to lie within 2.5 standard deviations of the mean?

A confidence interval for a population mean is calculated as (42.1, 49.3) from a sample. If the null hypothesis states the population mean is 45, what should you conclude at the corresponding significance level?

A researcher wants to estimate the average height of adults in a city. She uses a simple random sample of 400 people. Which factor will NOT reduce the width of a 95% confidence interval for the mean height?

A factory's production process is designed to fill bags with a mean of 500g. Quality control takes periodic samples. Which scenario describes a Type II error?

The power of a statistical test is defined as: