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 2.4 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 20, and it is from a normally distributed population with an unknown standard deviation. -0 OZ = Ot= O It is unclear which test statistic to use. (b) The sample has size 17, and it is from a normally distributed population with a known standard deviation of 0.40. OZ= Ot= 0 O It is unclear which test statistic to use.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Problem 19

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 2.4 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 20, and it is from a normally distributed population with an unknown standard deviation.
O Z = 0
Ot= -0
O It is unclear which test statistic to use.
(b) The sample has size 17, and it is from a normally distributed population with a known standard deviation of 0.40.
OZ = 0
ot=
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 2.4 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 20, and it is from a normally distributed population with an unknown standard deviation. O Z = 0 Ot= -0 O It is unclear which test statistic to use. (b) The sample has size 17, and it is from a normally distributed population with a known standard deviation of 0.40. OZ = 0 ot= O It is unclear which test statistic to use.
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