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 26.00 years old. Suppose a random sample of 17 drivers was drawn, and the average age of the drivers was found to be 28.90 years. Assume the standard deviation for the age of the car drivers to be 2 years. Complete parts a through c below. a. Construct a 95% confidence interval to estimate the average age of the car driver. 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. Yes, 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. No, because the interval includes the company's claimed average age. c. What assumption needs to be made to construct this interval?

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c. What assumption needs to be made to construct this interval?
A. The population of the model's drivers' ages is normally distributed.
B. The population of the model's drivers' ages is skewed to one side.
C. The population of all car drivers' ages is normally distributed.
D. The population mean for the model's drivers will be in the confidence interval.
O E. The sample size is less than 30.
Transcribed Image Text:c. What assumption needs to be made to construct this interval? A. The population of the model's drivers' ages is normally distributed. B. The population of the model's drivers' ages is skewed to one side. C. The population of all car drivers' ages is normally distributed. D. The population mean for the model's drivers will be in the confidence interval. O E. The sample size is less than 30.
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 26.00 years old. Suppose
a random sample of 17 drivers was drawn, and the average age of the drivers was found to be 28.90 years. Assume the standard deviation for the age of the car drivers to be 2 years.
Complete parts a through c below.
a. Construct a 95% confidence interval to estimate the average age of the car driver.
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. Yes, 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. No, because the interval includes the company's claimed average age.
c. What assumption needs to be made to construct this interval?
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 26.00 years old. Suppose a random sample of 17 drivers was drawn, and the average age of the drivers was found to be 28.90 years. Assume the standard deviation for the age of the car drivers to be 2 years. Complete parts a through c below. a. Construct a 95% confidence interval to estimate the average age of the car driver. 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. Yes, 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. No, because the interval includes the company's claimed average age. c. What assumption needs to be made to construct this interval?
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