As a study being conducted by the state's Land Transportation Bureau, a random sample of 150 SUV owners in Alabama shows than an SUV is driven on average 25,000 kilometers per year with a standard deviation o of 5,200 kilometers. Assume the distribution of samples to be approximately normal. Construct a 99% confidence interval for the average number of kilometers an SUV is driven annually. What can we assert with 99% confidence about the possible size of our error if we estimate the average number of kilometers driven by SUV owners in Alabama to be 25,000 kilometers per year? O a.99% CI: 23909 < µ< 26091. We can assert with 99% confidence that the possible size of our Error (E) will not exceed 1091 kilometers O b.99% CI: 24299 < µ< 25701. We can assert with 99% confidence that the possible size of our Error (E) will not exceed 700 kilometers O c. 99% CI: 24168 < µ< 25832. We can assert with 99% confidence that the possible size of our Error (E) will not exceed 832 kilometers O d.99% CI: 23905 < µ < 26095. We can assert with 99% confidence that the possible size of our Error (E) will not exceed 1091 kilometers

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CI on Mean, Variance Known
As a study being conducted by the state's Land Transportation Bureau, a random sample of 150 SUV owners in Alabama shows
than an SUV is driven on average 25,000 kilometers per year with a standard deviation o of 5,200 kilometers. Assume the
distribution of samples to be approximately normal.
Construct a 99% confidence interval for the average number of kilometers an SUV is driven annually. What can we assert with 99%
confidence about the possible size of our error if we estimate the average number of kilometers driven by SUV owners in Alabama
to be 25,000 kilometers per year?
O a. 99% CI: 23909 < µ < 26091. We can assert with 99% confidence that the possible size of our Error (E) will not exceed 1091 kilometers
O b.99% CI: 24299 < µ< 25701. We can assert with 99% confidence that the possible size of our Error (E) will not exceed 700 kilometers
O c. 99% CI: 24168 < µ< 25832. We can assert with 99% confidence that the possible size of our Error (E) will not exceed 832 kilometers
с.
O d. 99% CI: 23905 < µ < 26095. We can assert with 99% confidence that the possible size of our Error (E) will not exceed 1091 kilometers
Transcribed Image Text:CI on Mean, Variance Known As a study being conducted by the state's Land Transportation Bureau, a random sample of 150 SUV owners in Alabama shows than an SUV is driven on average 25,000 kilometers per year with a standard deviation o of 5,200 kilometers. Assume the distribution of samples to be approximately normal. Construct a 99% confidence interval for the average number of kilometers an SUV is driven annually. What can we assert with 99% confidence about the possible size of our error if we estimate the average number of kilometers driven by SUV owners in Alabama to be 25,000 kilometers per year? O a. 99% CI: 23909 < µ < 26091. We can assert with 99% confidence that the possible size of our Error (E) will not exceed 1091 kilometers O b.99% CI: 24299 < µ< 25701. We can assert with 99% confidence that the possible size of our Error (E) will not exceed 700 kilometers O c. 99% CI: 24168 < µ< 25832. We can assert with 99% confidence that the possible size of our Error (E) will not exceed 832 kilometers с. O d. 99% CI: 23905 < µ < 26095. We can assert with 99% confidence that the possible size of our Error (E) will not exceed 1091 kilometers
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