The Football Coach at State University Wishes to Determine If

question 19

Multiple Choice

The football coach at State University wishes to determine if there is a change in offensive production between the first half and the second half of his team's recent games. The table below shows the first-half and second-half offensive production (measured in total yards gained per half) for the past six games.
$\begin{array}{lcccccc}\hline & {\text { Game }} \\& 1 & 2 & 3 & 4 & 5 & 6 \\\text { First half yards } & 123 & 136 & 130 & 134 & 95 & 93 \\\text { Second half yards } & 103 & 120 & 116 & 143 & 62 & 60 \\\hline\end{array}$

State the null and alternative hypotheses.

• A) \(H _ { 0 } : \mu d = 0 , H _ { 1 } : \mu d > 0\)
• B) \(H _ { 0 } : \mu d = 0 , H _ { 1 } \mu d \neq 0\)
• C) \(H _ { 0 } : \mu d = 0 , H _ { 1 } : \mu d < 0\)
• D) \(H _ { 0 } : \mu d = 0 , H _ { 1 } : \mu d = 17.8\)

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Definitions:

Menstrual Period

A monthly cycle where the female body sheds the lining of the uterus, leading to bleeding through the vagina, a natural part of the reproductive system.

Conception

The process of fertilization where a sperm cell unites with an egg cell, leading to the formation of a zygote and the beginning of pregnancy.

Fetal Alcohol Syndrome

A condition in a child that results from alcohol exposure during the mother's pregnancy, causing brain damage and growth problems.

Fetal Alcohol Effect

A condition resulting from alcohol exposure during pregnancy, characterized by developmental delays and problems in behavior or cognition, less severe than Fetal Alcohol Syndrome.