I JUST NEED ANSWERS FOR QUESTION #4. THREE PARTS. Statistics Proiect--Difference
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I JUST NEED ANSWERS FOR QUESTION #4. THREE PARTS.
Statistics Proiect--Difference in Means We want to compare the mean GPA for females and males at Valencia. This project will ask you to take a random sample from the population of female GPAs and a random sample from the population of male GPAs. Use the Student Data I provided (same data as for the last project). The female GPAs are ID numbers 1 to 4573 and the male GPAs are ID numbers 4574 to 7903. Each person should generate their own random samples from these two groups. Show the random IDs and their corresponding GPAs. 1, what do the symbols 1 and 2 represent in the context of this problem? Be specific. 1 represents the mean GPA for all West Campus female students who have completed at least 30 credit hours. In order to calculate 1, the GPA scores for all 4,573 students will need to be summed and then divided by 4,573. 2 represents the mean GPA for all west Campus male students who have completed at least 30 hours. In order to calculate 2, the GPA scores for all 3,329 (7903-4574) students will need to be summed and then divided by 3,329. 2. Take a random sample of twenty GPAs from each population (20 females and 20 males). Show the random IDs as well as the GPAs.Explanation / Answer
Statcrunch steps to find confidence interval :
1. If necessary, enter the raw data into the first two columns of the spreadsheet. Name the column variables.
2. Select Stat, highlight T Statistics, select Two sample, and then choose either with data or with summary.
3. Select the column that contains the data for Sample 1. Select the column that contains the data for Sample 2. Note that the differences are computed Sample 1 – Sample 2. Uncheck the box “Pool variances”. Click Next>.
4. If you choose the hypothesis test radio button, enter the value of the mean stated in the null hypothesis and choose the direction of the alternative hypothesis from the pull-down menu. If you choose the confidence interval radio button, enter the level of confidence. Click Calculate.
The 90% confidence interval for difference in mean gpa of males and females is (-0.164, 0.324).
Interpretation : We are 90% confident that the difference in population mean is lies between -0.164 and 0.324.
Here population difference = 0 which lies in the confidence interval.
That is we accept the null hypothesis.
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