The table gives the weekly sales of a car dealer for the first 26 weeks of the sales year.Week Cars Sold1 12 13 44 25 46 107 88 59 910 611 212 513 614 515 716 117 418 619 820 921 222 523 924 525 326 32Select the correct answer.What is the point estimate for the number of cars sold per week for a sample consisting of the following weeks: 1, 3, 5, 7, 10, 13, 14, 17, 19, 21? A. 4.8 B. 5.22 C. 6.38 D. 6.1
Question
The table gives the weekly sales of a car dealer for the first 26 weeks of the sales year.Week Cars Sold1 12 13 44 25 46 107 88 59 910 611 212 513 614 515 716 117 418 619 820 921 222 523 924 525 326 32Select the correct answer.What is the point estimate for the number of cars sold per week for a sample consisting of the following weeks: 1, 3, 5, 7, 10, 13, 14, 17, 19, 21? A. 4.8 B. 5.22 C. 6.38 D. 6.1
Solution
To find the point estimate for the number of cars sold per week for a sample consisting of the following weeks: 1, 3, 5, 7, 10, 13, 14, 17, 19, 21, you need to find the average number of cars sold in these weeks.
Here are the steps:
- First, find the number of cars sold in each of these weeks from the table.
Week 1: 1 car Week 3: 4 cars Week 5: 4 cars Week 7: 8 cars Week 10: 6 cars Week 13: 6 cars Week 14: 5 cars Week 17: 4 cars Week 19: 8 cars Week 21: 2 cars
- Add these numbers together to get the total number of cars sold in these weeks.
1 + 4 + 4 + 8 + 6 + 6 + 5 + 4 + 8 + 2 = 48 cars
- Since there are 10 weeks in the sample, divide the total number of cars sold by 10 to get the average number of cars sold per week.
48 cars / 10 weeks = 4.8 cars per week
So, the point estimate for the number of cars sold per week for this sample is 4.8 cars per week. Therefore, the correct answer is A. 4.8.
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