The average score for games played in the NFL is 20.7 and the standard deviation is 8.9 points. 17 game are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of æ? - N( b. What is the distribution of a? x - N( c. P(a < 20.4621) = %3D
The average score for games played in the NFL is 20.7 and the standard deviation is 8.9 points. 17 game are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of æ? - N( b. What is the distribution of a? x - N( c. P(a < 20.4621) = %3D
MATLAB: An Introduction with Applications
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![**NFL Game Score Analysis**
The average score for games played in the NFL is 20.7, and the standard deviation is 8.9 points. 17 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution.
a. **Distribution of \(\bar{x}\):**
\(\bar{x} \sim N(\, \_\_ \,\, , \, \_\_ \,)\)
b. **Distribution of \(\Sigma x\):**
\(\Sigma x \sim N(\, \_\_ \,\, , \, \_\_ \,)\)
c. **Probability Calculation:**
\(P(\bar{x} < 20.4621) = \_\_\_\_\)
d. **80th Percentile:**
Find the 80th percentile for the mean score for this sample size. Answer: \_\_\_
e. **Probability Calculation:**
\(P(18.7621 < \bar{x} < 22.9793) = \_\_\_\_\)
f. **Third Quartile (Q3) for \(\bar{x}\) Distribution:**
Q3 = \_\_\_\_
g. **Probability Calculation:**
\(P\left(\Sigma x < 388.6557\right) = \_\_\_\_\)
h. **Assumption of Normality:**
For part c) and e), is the assumption of normal necessary? O No O Yes](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6681bae-421b-4ea3-a9d7-e7580bf26fe7%2F9150159d-a6b6-4242-a5e3-fa87a6b177d1%2Frdlhiva_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**NFL Game Score Analysis**
The average score for games played in the NFL is 20.7, and the standard deviation is 8.9 points. 17 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution.
a. **Distribution of \(\bar{x}\):**
\(\bar{x} \sim N(\, \_\_ \,\, , \, \_\_ \,)\)
b. **Distribution of \(\Sigma x\):**
\(\Sigma x \sim N(\, \_\_ \,\, , \, \_\_ \,)\)
c. **Probability Calculation:**
\(P(\bar{x} < 20.4621) = \_\_\_\_\)
d. **80th Percentile:**
Find the 80th percentile for the mean score for this sample size. Answer: \_\_\_
e. **Probability Calculation:**
\(P(18.7621 < \bar{x} < 22.9793) = \_\_\_\_\)
f. **Third Quartile (Q3) for \(\bar{x}\) Distribution:**
Q3 = \_\_\_\_
g. **Probability Calculation:**
\(P\left(\Sigma x < 388.6557\right) = \_\_\_\_\)
h. **Assumption of Normality:**
For part c) and e), is the assumption of normal necessary? O No O Yes
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