We want to conduct a hypothesis test of the claim that the population mean time it takes drivers to react following the application of brakes by the driver in front of them is less than 2.2 seconds. So, we choose a random sample of reaction time measurements. The sample has a mean of 2.3 seconds and a standard deviation of 0.5 seconds. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 12, and it is from a population with a distribution about which we know very little. As z =0 O t= O It is unclear which test statistic to use. (b) The sample has size 11, and it is from a normally distributed population with a known standard deviation of 0.40. Oz = O t= O It is unclear which test statistic to use.

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We want to conduct a hypothesis test of the claim that the population mean time it takes drivers to react following the application of brakes by the driver in front
of them is less than 2.2 seconds. So, we choose a random sample of reaction time measurements. The sample has a mean of 2.3 seconds and a standard
deviation of 0.5 seconds.
For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic.
Round your answers to two decimal places.
(a) The sample has size 12, and it is from a population with a distribution about which we know very little.
O z =
O t =
O It is unclear which test statistic to use.
(b) The sample has size 11, and it is from a normally distributed population with a known standard deviation of 0.40.
O z =
O t =
O It is unclear which test statistic to use.
Transcribed Image Text:We want to conduct a hypothesis test of the claim that the population mean time it takes drivers to react following the application of brakes by the driver in front of them is less than 2.2 seconds. So, we choose a random sample of reaction time measurements. The sample has a mean of 2.3 seconds and a standard deviation of 0.5 seconds. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 12, and it is from a population with a distribution about which we know very little. O z = O t = O It is unclear which test statistic to use. (b) The sample has size 11, and it is from a normally distributed population with a known standard deviation of 0.40. O z = O t = O It is unclear which test statistic to use.
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