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Margaret [11]
2 years ago
7

The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 49 ca

rs of this model is chosen and found to have a mean gas mileage of 28.4 mi/gallon. Construct a 89% confidence interval for the mean gas mileage for this car model.
Mathematics
1 answer:
lord [1]2 years ago
8 0

Answer:

The answer is "(27.030,29.770)"

Step-by-step explanation:

(\bar{x}) = 28.4

(n)= 49

(\sigma) = 6

(CI) = \bar{x}\pm z^*_{\frac{\alpha}{2}} \frac{\sigma}{\sqrt{n}}

z^*_{\frac{\alpha}{2}}\ for \ 89\%\ confidence = 1.598 \\\\\text{Using z table }\\\\ NORM.S.INV(1-\frac{(1-0.89)}{2})

CI = 28.4 \pm 1.598 \times  \frac{6}{\sqrt{49}}=(27.030,29.770)

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