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Exam 3 STAT 100Fall 2021EXAM 3: Statistics 100 READ THE DIRECTIONS BELOW TWICE! Cover Sheet Questions 1) What's your name?___ (Last name)___ (First name)2) What's your net ID (email)? ___ 3) Which
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How to fill out one-sample and paired-sample t-test
How to fill out one-sample and paired-sample t-test
01
One-sample t-test:
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- Define the null hypothesis and alternative hypothesis
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- Determine the significance level (alpha)
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- Collect data for a single sample
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- Calculate the sample mean and standard deviation
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- Compute the t-statistic using the formula: t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))
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- Determine the degrees of freedom for the t-distribution (sample size - 1)
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- Find the critical t-value or p-value from the t-distribution table
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- Compare the calculated t-statistic with the critical t-value or p-value to make a decision about the null hypothesis
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Paired-sample t-test:
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- Define the null hypothesis and alternative hypothesis
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- Determine the significance level (alpha)
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- Collect data for two related samples
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- Calculate the differences between paired observations
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- Compute the mean and standard deviation of the differences
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- Calculate the t-statistic using the formula: t = (mean difference) / (standard deviation of differences / sqrt(sample size))
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- Determine the degrees of freedom for the t-distribution (sample size - 1)
18
- Find the critical t-value or p-value from the t-distribution table
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- Compare the calculated t-statistic with the critical t-value or p-value to make a decision about the null hypothesis
Who needs one-sample and paired-sample t-test?
01
Researchers in various fields such as psychology, social sciences, biology, and medicine often use one-sample and paired-sample t-tests
02
Students conducting experiments or analyzing data for research projects may need to perform these tests
03
Statisticians and data analysts who need to compare a sample mean to a known population value or evaluate the differences in paired data sets use these tests
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What is one-sample and paired-sample t-test?
One-sample t-test is used to determine if the mean of a single sample is significantly different from a known or hypothesized population mean. Paired-sample t-test is used to compare the means of two related groups to determine if there is a significant difference.
Who is required to file one-sample and paired-sample t-test?
Researchers, statisticians, and analysts who want to compare means of samples are required to use one-sample and paired-sample t-test.
How to fill out one-sample and paired-sample t-test?
To fill out one-sample and paired-sample t-test, you need to calculate the mean of the samples, the standard deviation, the degrees of freedom, and then compare the obtained t-values with the critical t-value from the t-distribution table.
What is the purpose of one-sample and paired-sample t-test?
The purpose of one-sample and paired-sample t-tests is to test hypotheses about the means of two related groups and determine if the observed differences are statistically significant.
What information must be reported on one-sample and paired-sample t-test?
The information reported on one-sample and paired-sample t-tests includes the means of the samples, standard deviations, degrees of freedom, calculated t-values, critical t-values, and p-values.
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