A car company developed a certain car model to appeal to young consumers. The car company claims the average age of drivers of this certain car model is 28.00 years old. Suppose a random sample of 19 drivers was drawn, and the average age of the drivers was found to be 29.10 years. Assume the standard deviation for the age of the car drivers to be 2 years. Complete parts a through c below. The 95% confidence interval for the average age of the car driver has a lower limit of years old and an upper limit of years old. (Round to two decimal places as needed.) b. Does this result lend support to the car company's claim? O A. No, because the interval does not include the company's claimed average age. O B. No, because the interval includes the company's claimed average age. O C. Yes, because the interval does not include the company's claimed average age. O D. Yes, because the interval includes the company's claimed average age. c. What assumption needs to be made to construct this interval? O A. The sample size less than 30. O B. The population of the model's drivers' ages is normally distributed. OC. The population mean for the model's drivers will be in the confidence interval. O D. The population of all car drivers' ages is normally distributed. O E. The population of the model's drivers' ages skewed to one side. Click to select your answer(s).

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A car company developed a certain car model to appeal to young consumers. The car company claims the average age of drivers of this certain car model is 28.00 years old. Suppose a random sample of 19 drivers
was drawn, and the average age of the drivers was found to be 29.10 years. Assume the standard deviation for the age of the car drivers to be 2 years. Complete parts a through c below.
The 95% confidence interval for the average age of the car driver has a lower limit of
years old and an upper limit of
years old.
(Round to two decimal places as needed.)
b. Does this result lend support to the car company's claim?
A. No, because the interval does not include the company's claimed average age.
B. No, because the interval includes the company's claimed average age.
C. Yes, because the interval does not include the company's claimed average age.
D. Yes, because the interval includes the company's claimed average age.
c. What assumption needs to be made to construct this interval?
A. The sample size is less than 30.
B. The population of the model's drivers' ages is normally distributed.
C. The population mean for the model's drivers will be in the confidence interval.
D. The population of all car drivers' ages is normally distributed.
O E. The population of the model's drivers' ages is skewed to one side.
Click to select your answer(s).
?
Transcribed Image Text:A car company developed a certain car model to appeal to young consumers. The car company claims the average age of drivers of this certain car model is 28.00 years old. Suppose a random sample of 19 drivers was drawn, and the average age of the drivers was found to be 29.10 years. Assume the standard deviation for the age of the car drivers to be 2 years. Complete parts a through c below. The 95% confidence interval for the average age of the car driver has a lower limit of years old and an upper limit of years old. (Round to two decimal places as needed.) b. Does this result lend support to the car company's claim? A. No, because the interval does not include the company's claimed average age. B. No, because the interval includes the company's claimed average age. C. Yes, because the interval does not include the company's claimed average age. D. Yes, because the interval includes the company's claimed average age. c. What assumption needs to be made to construct this interval? A. The sample size is less than 30. B. The population of the model's drivers' ages is normally distributed. C. The population mean for the model's drivers will be in the confidence interval. D. The population of all car drivers' ages is normally distributed. O E. The population of the model's drivers' ages is skewed to one side. Click to select your answer(s). ?
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