using the following information, determine if the differences between the means are significant medical terminolgy class. Group A = number of word elements remembered by students using flash cards, group B= number of word elements remembered by students not using flash cards. group A, mean = 75; sd = 2.0 ; n = 10. Group B mean = 50, sd = 3.5, n = 10
To determine if the differences between the means of two groups are significant, we can perform a two-sample t-test. In this case, Group A represents the students using flash cards, and Group B represents the students not using flash cards.
Here are the steps to calculate the t-test:
Step 1: State the hypotheses.
- Null hypothesis (H0): There is no significant difference between the means of the two groups.
- Alternative hypothesis (H1): There is a significant difference between the means of the two groups.
Step 2: Calculate the t-value.
- The formula to calculate the t-value for independent samples is: t = (mean1 - mean2) / √((sd1^2/n1) + (sd2^2/n2))
- In this case, mean1 = 75, mean2 = 50, sd1 = 2.0, sd2 = 3.5, n1 = 10, and n2 = 10.
- Plugging in these values, we get: t = (75 - 50) / √((2.0^2/10) + (3.5^2/10)).
Step 3: Determine the degrees of freedom (df).
- The degrees of freedom can be calculated using the formula: df = n1 + n2 - 2.
- In this case, the degrees of freedom will be: df = 10 + 10 - 2.
Step 4: Look up the critical value.
- The critical value depends on the chosen significance level (alpha) and the degrees of freedom.
- For example, if we choose a significance level of 0.05, and the degrees of freedom are 18 (from Step 3), we would look up the critical t-value in a t-table or use statistical software.
Step 5: Compare the calculated t-value with the critical value.
- If the calculated t-value is greater (or smaller) than the critical value, we reject the null hypothesis and conclude that there is a significant difference between the means of the two groups.
- If the calculated t-value is within the range of the critical values, we fail to reject the null hypothesis and conclude that there is no significant difference between the means of the two groups.
By following these steps, you can determine if the differences between the means are significant for the medical terminology class.