Question
Vehicle type/class Year Make Model Price MPG (city) MPG (highway) Drive type sedan 2021 toyota camry XLE $ 33,372.00 24 34 all-wheel drive sedan 2021
Vehicle type/class | Year | Make | Model | Price | MPG (city) | MPG (highway) | Drive type |
sedan | 2021 | toyota | camry XLE | $ 33,372.00 | 24 | 34 | all-wheel drive |
sedan | 2021 | Nissan | Altima 2.5 SV | $ 31,633.00 | 28 | 39 | all-wheel drive |
sedan | 2021 | Honda | Accord Hybrid Touring | $ 37,435.00 | 44 | 41 | 2 wheel drive - front |
sedan | 2021 | Audi | A4 2.0T Premium | $ 48,765.00 | 24 | 34 | All wheel drive |
sedan | 2021 | Volkswagen | Arteon SE | $ 38,774.00 | 22 | 32 | 2 wheel drive - front |
sedan | 2022 | toyota | Prius Prime LE | $ 28,220.00 | 55 | 54 | 2 wheel drive - front |
crossover | 2021 | Subaru | Crosstrek 2.0i Premium | $ 28,827.00 | 28 | 33 | All wheel drive |
sedan | 2022 | Hyundai | Accent SEL | $ 17,940.00 | 33 | 41 | 2 wheel drive - front |
sedan | 2020 | Hyundai | Elantra SEL | $ 19,300.00 | 31 | 41 | 2 wheel drive - front |
Hatchback | 2021 | maza | MAZDA3 | $ 35,220.00 | 23 | 31 | All wheel drive |
Mean | $ 31,948.60 | ||||||
Median | $ 32,502.50 | ||||||
SD | 9141.969812 | ||||||
Sample size | 10 | ||||||
p | 0.5 | ||||||
q | 0.5 |
A town official claims that the average vehicle in their area sells for more thanthe 40thpercentile of your data set. Using the data, you obtained in week 1, as well as the summary statistics you found for the original data set (excluding the super car outlier), run a hypothesis test to determine if the claim can be supported. Make sure you state all the important values, so your fellow classmates can use them to run a hypothesis test as well. Use the descriptive statistics you found during Week 2 NOT the new SD you found during Week 4. Because again, we are using the original 10 sample data set NOT a new smaller sample size. Use alpha = .05 to test your claim.
(Note: You will want to use the function =PERCENTILE.INC in Excel to find the 40thpercentile of your data set. Hopefully this Excel function looks familiar to you from Week 2.)
First determine if you are using a z or t-test and explain why. Then conduct a four-step hypothesis test including a sentence at the end justifying the support or lack of support for the claim and why you made that choice.
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