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1. You have just been hired by the EPA to help with the new gas mileage standard

ID: 3290920 • Letter: 1

Question

1. You have just been hired by the EPA to help with the new gas mileage standards on new automobiles. The EPA would like to post average gas mileage as a 95% confidence interval. Suppose you collect data on 37 new Honda Accords and the average gas mileage for this sample was 29 with a sample standard deviation of 5.0. What is the LOWER endpoint of your confidence interval? Be sure to use 2 decimal places.

2. You have just been hired by the EPA to help with the new gas mileage standards on new automobiles. The EPA would like to post average gas mileage as a 88% confidence interval. Suppose you collect data on 41 new Honda Accords and the average gas mileage for this sample was 31 with a sample standard deviation of 3.3. What is the HIGHER endpoint of your confidence interval? Be sure to use 2 decimal places.

(please show steps and formulas)

I really need help with finding ta/2 and confidence level

Explanation / Answer

1. Statistical software output:

One sample T summary confidence interval:
: Mean of population

95% confidence interval results:

Hence,

Lower endpoint = 27.33

2. Statistical software output:

One sample T summary confidence interval:
: Mean of population

88% confidence interval results:

Hence,

Higher endpoint = 31.82

Mean Sample Mean Std. Err. DF L. Limit U. Limit 29 0.82199494 36 27.332917 30.667083