We want to conduct a hypothesis test of the claim that the population mean number of holding penalties during a college football game is more than 2.9 penalties per game. So, we choose a random sample of games. The sample has a mean of 3 penalties per game and a standard deviation of 0.8 penalties per game. 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 15, and it is from a population with a distribution about which we know very little. o t=0 O It is unclear which test statistic to use. (b) The sample has size 11, and it is from a normally distributed population with an unknown standard deviation. Oz= Ot= It is unclear which test statistic to use. [S

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 9E
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We want to conduct a hypothesis test of the claim that the population mean number of holding penalties during a college football game is more than 2.9
penalties per game. So, we choose a random sample of games. The sample has a mean of 3 penalties per game and a standard deviation of 0.8 penalties per
game.
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 15, and it is from a population with a distribution about which we know very little.
Z =
t =
It is unclear which test statistic to use.
(b) The sample has size 11, and it is from a normally distributed population with an unknown standard deviation.
Oz=
o t=0
It is unclear which test statistic to use.
X
Ś
Transcribed Image Text:We want to conduct a hypothesis test of the claim that the population mean number of holding penalties during a college football game is more than 2.9 penalties per game. So, we choose a random sample of games. The sample has a mean of 3 penalties per game and a standard deviation of 0.8 penalties per game. 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 15, and it is from a population with a distribution about which we know very little. Z = t = It is unclear which test statistic to use. (b) The sample has size 11, and it is from a normally distributed population with an unknown standard deviation. Oz= o t=0 It is unclear which test statistic to use. X Ś
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