Question

For which of the following is a t-test appropriate for performing a hypothesis test? Select the correct answer below: O A sample mean of 33 pounds and a standard deviation of 3 pounds are obtained using a simple random sample of 18 mountain bikes from the most popular bicycles offered by major retailers having approximately normally distributed weights. The population standard deviation is 2.4 pounds. O A simple random sample of 12 two-inch candles is taken from the candles offered at a candle store with approximately normally distributed burning times. The sample mean is s hours and the sample standard deviation is 0.5 hours. O A sample mean of 21 miles per gallon and a standard deviation of 3 miles per gallon are obtained using a simple random sample of the fuel consumption rates of 30 vehicles from a large group of vehicles A sample mean of 23 pounds and a standard deviation of 3 pounds are obtained using a convenient sample of 16 dogs from the dogs within a county, which have approximately normally distributed weights O

Answer 1

We use t-distribution when the population is normal with unknown standard deviation.

Ans:A simple random sample of 12 two inches candle is taken from the candle offered at a candle store with approximately normally distributed burning times, the sample mean is 5 hours and the sample standard deviation is 0.5 hours.