Compare the standard deviation for the heights of males and the standard deviation for the heights of females in the class.

No data given.

Z = (mean1 - mean2)/standard error (SE) of difference between means

SEdiff = √(SEmean1^2 + SEmean2^2)

SEm = SD/√n

If only one SD is provided, you can use just that to determine SEdiff.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score. It is less that your level of significance?

To compare the standard deviation for the heights of males and females in the class, you will need to gather the necessary data and calculate the standard deviations for each group separately. Here's a step-by-step guide on how to do that:

1. Collect the Data: Obtain the heights of all the males and females in the class. Make sure the measurements are accurate and in the same unit (e.g., centimeters or inches).

2. Separate the Data: Divide the height data into two groups - one for males and one for females.

3. Calculate the Mean: Calculate the mean height for each group separately by summing up all the heights in each group and dividing them by the total number of measurements.

4. Calculate the Variance: Subtract the mean height from each individual height in the group, square the result, sum up all the squared differences, and divide by the total number of measurements. This will give you the variance for each group.

5. Calculate the Standard Deviation: Take the square root of the variance for each group to obtain the standard deviation. The standard deviation measures the spread or dispersion of the heights within each group.

6. Compare the Standard Deviations: Once you have obtained the standard deviation for the heights of males and females, you can compare them to determine which group has a greater or lesser spread in the heights. If the standard deviation for males is higher than that for females, it suggests that the heights of males in the class have a greater variation compared to the heights of females. Conversely, if the standard deviation for females is higher, it indicates that the heights of females have more variation.

Remember, the standard deviation is a measure of variability, so a larger value indicates greater variability, while a smaller value suggests less variability.