μx t 0x = μ = 0 σ=1 18 N a. What is the mean of your sample mean X ? Answer: b. What is the standard deviation of your sample mean X ? Answer: c. What is the probability that the average data from the sample she collected is larger than 10.0 hours? Answer (4 decimal digits): P(X > 10) =

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Chapter1: Combinatorial Analysis
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PUniversity uses their smartphones
A market researcher for want to study how many hours per week on average students at
to watch YouTube videos. A previous study of the YouTube viewing time found that a typical college student in the U.S. spends on
average of 9.0 hrs. with standard deviation of 4.0 hrs. Let's assume that the YouTube viewing time of
students has the same
average and standard deviation as those of a typical US college student. For her study, the researcher recruited a random sample of
16 students and each student is instructed to keep a detailed record of YouTube viewing in a particular week. What is the probability
that the average data from the sample she collected is larger than 10.0 hours?
Let X = the number of hours per week a student at
University watch YouTube videos, and
X = Sample mean of the number of hours per week a student at
University watch YouTube videos.
To help you answer the question, draw the 2 boxes representing the population and sample (See my lecture notes) and also draw the
normal distribution function to help you with your calculation.
Population:
X =
X~ distribution function ?
Parameters:
μ =
0
Sample: n =
X = Sample mean
X ~ Normal
U ž
=
σx =
Transcribed Image Text:PUniversity uses their smartphones A market researcher for want to study how many hours per week on average students at to watch YouTube videos. A previous study of the YouTube viewing time found that a typical college student in the U.S. spends on average of 9.0 hrs. with standard deviation of 4.0 hrs. Let's assume that the YouTube viewing time of students has the same average and standard deviation as those of a typical US college student. For her study, the researcher recruited a random sample of 16 students and each student is instructed to keep a detailed record of YouTube viewing in a particular week. What is the probability that the average data from the sample she collected is larger than 10.0 hours? Let X = the number of hours per week a student at University watch YouTube videos, and X = Sample mean of the number of hours per week a student at University watch YouTube videos. To help you answer the question, draw the 2 boxes representing the population and sample (See my lecture notes) and also draw the normal distribution function to help you with your calculation. Population: X = X~ distribution function ? Parameters: μ = 0 Sample: n = X = Sample mean X ~ Normal U ž = σx =
μx
0x =
ox
μ = 0
σ=1
a. What is the mean of your sample mean X ? Answer:
४|
x
b. What is the standard deviation of your sample mean X ? Answer:
c. What is the probability that the average data from the sample she collected is larger than 10.0 hours?
Answer (4 decimal digits): P(X > 10) =
Transcribed Image Text:μx 0x = ox μ = 0 σ=1 a. What is the mean of your sample mean X ? Answer: ४| x b. What is the standard deviation of your sample mean X ? Answer: c. What is the probability that the average data from the sample she collected is larger than 10.0 hours? Answer (4 decimal digits): P(X > 10) =
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