Which test determines if there is a difference between the mean of a group and proposed standard value?
Paired t-test
F-test
One Sample t-test
One way ANOVA
Two sample t-test
none
The test that determines if there is a difference between the mean of a group and a proposed standard value is the One Sample t-test.
To perform a One Sample t-test, you need the following information:
1. The sample mean: This is the average of the data points in your sample.
2. The proposed standard value: This is the hypothesized mean that you want to compare the sample mean against.
3. The sample size: This is the number of observations or data points in your sample.
4. The standard deviation of the sample: This measures the spread of the data in your sample.
Here's how you can perform a One Sample t-test using statistical software or a statistical calculator:
1. Input your data or summary statistics into the software or calculator.
2. Specify the proposed standard value.
3. Select the appropriate significance level or alpha value (usually 0.05).
4. Run the One Sample t-test analysis.
The result of the One Sample t-test will include the t-statistic and the p-value. The t-statistic measures the difference between the sample mean and the proposed standard value, while the p-value indicates the probability of observing such difference assuming that the null hypothesis is true (i.e., the sample mean is equal to the proposed standard value).
If the obtained p-value is less than the chosen significance level (e.g., 0.05), then you can reject the null hypothesis and conclude that there is a significant difference between the group mean and the proposed standard value. Conversely, if the p-value is greater than the significance level, you fail to reject the null hypothesis and conclude that there is insufficient evidence to show a significant difference.