In a sample of 7 cars, each car was tested for nitrogen-oxide emissions and the following results were obtained: 0.06, 0.11, 0.16, 0.15, 0.14, 0.08, 0.15. Cconstruct a 98\% confidence interval estimate for the mean amount of nitrogen-oxide emission for all cars.

UkusakazaL

UkusakazaL

Answered question

2021-08-06

In a sample of 7 cars, each car was tested for nitrogen-oxide emissions and the following results were obtained: 0.06, 0.11, 0.16, 0.15, 0.14, 0.08, 0.15. Assuming that the sample is representative of all cars in use and that they are normally distributed, construct a 98% confidence interval estimate for the mean amount of nitrogen-oxide emission for all cars.
Use the sample data from #4 to construct a 98% confidence interval estimate for the standard deviation of the amount nitrogen-oxide emission for all cars.

Answer & Explanation

Ian Adams

Ian Adams

Skilled2021-08-16Added 163 answers

Step 1
Determine the t-value by looking in the row starting with degrees of freedom n1=71=6 in table a3:
tα2=t0.01=3.143
The margin of error is then:
E=tα2sn=3.1430.038970.0462
The confidence interval is:
0.0752=0.12140.0462=xE<μ<x+E=0.1214+0.0462=0.1676
Step 2
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