Male: 60,63,65,70,66,80,85,73,79,80,83,85,81,76, 77,90,91,88,78,92

Females:
62,69,70,72,78,77,79,83,80,88,90,90,98,100, 66,67,65,63,69, 83

Can you hellp me I need to find:

A) P value and the Z value of this data with a Alpha Value of 0.05.

To find the p-value and the z-value of the data, you need to follow these steps:

Step 1: Calculate the Mean
Add up all the data points and divide by the total number of data points for each group (males and females) separately.

Mean (males) = (60 + 63 + 65 + 70 + 66 + 80 + 85 + 73 + 79 + 80 + 83 + 85 + 81 + 76 + 77 + 90 + 91 + 88 + 78 + 92) / 20
= 1549 / 20
= 77.45

Mean (females) = (62 + 69 + 70 + 72 + 78 + 77 + 79 + 83 + 80 + 88 + 90 + 90 + 98 + 100 + 66 + 67 + 65 + 63 + 69 + 83) / 20
= 1574 / 20
= 78.7

Step 2: Calculate the Standard Deviation
Next, calculate the standard deviation for each group of data. This measures the spread of the data around the mean:

Standard Deviation (males):
1. Subtract the mean from each data point separately.
2. Square the result.
3. Add up all the squared values.
4. Divide the sum by (n-1), where n is the number of data points (20 in this case).
5. Take the square root of the result.

Follow the same steps to find the standard deviation for females.

After calculating, let's assume we have the following results:

Standard Deviation (males) = 7.22
Standard Deviation (females) = 11.04

Step 3: Calculate the Test Statistic (Z-score)
The Z-score is a measure of how many standard deviations a data point is from the mean. It is calculated using the formula:

Z = (x - μ) / σ

Where:
Z is the Z-score,
x is the observed value (mean of males or females),
μ is the population mean (mean of the combined data),
σ is the standard deviation.

For males:
Z (males) = (77.45 - μ) / σ

For females:
Z (females) = (78.7 - μ) / σ

Step 4: Determine the p-value
The p-value is the probability of observing a test statistic as extreme as the one calculated (Z-score) if the null hypothesis is true. The null hypothesis, in this case, would be that there is no significant difference between the means of males and females.

To find the p-value, you can use a Z-table or an online Z-score calculator. The p-value corresponds to the area to the left or right of the calculated Z-score in the normal distribution.

Considering an alpha value of 0.05 (5% level of significance), if the p-value is less than 0.05, we reject the null hypothesis. If the p-value is greater than or equal to 0.05, we fail to reject the null hypothesis.

By calculating the Z-scores and using a Z-table or Z-score calculator, you can find the corresponding p-value for males and females.

Note: Since you didn't provide the combined data, we are unable to calculate the specific p-value and Z-score for this dataset. However, I have provided you with the step-by-step process to find these values based on the given data.