Question

Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 21 minutes. A researcher observed 46 students who entered the library to study. Round all answers to 4 decimal places where possible.

- What is the distribution of XX? XX ~ N(,)
- What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
- What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
- If one randomly selected student is timed, find the probability that this student's time will be between 42 and 47 minutes.
- For the 46 students, find the probability that their average time studying is between 42 and 47 minutes.
- Find the probability that the randomly selected 46 students will have a total study time less than 1932 minutes.
- For part e) and f), is the assumption of normal necessary? NoYes
- The top 10% of the total study time for groups of 46 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? minutes

Answer #1

Suppose that the amount of time that students spend studying in
the library in one sitting is normally distributed with mean 43
minutes and standard deviation 23 minutes. A researcher observed 11
students who entered the library to study. Round all answers to 4
decimal places where possible.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected student...

Suppose that the amount of time that students spend studying in
the library in one sitting is normally distributed with mean 46
minutes and standard deviation 19 minutes. A researcher observed 9
students who entered the library to study. Round all answers to 4
decimal places where possible.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected student...

Suppose that the amount of time that students spend studying in
the library in one sitting is normally distributed with mean 49
minutes and standard deviation 19 minutes. A researcher observed 14
students who entered the library to study. Round all answers to 4
decimal places where possible. What is the distribution of X X ? X
X ~ N(,) What is the distribution of ¯ x x¯ ? ¯ x x¯ ~ N(,) What is
the distribution of ∑...

Suppose that the amount of time that students spend studying in
the library in one sitting is normally distributed with mean 49
minutes and standard deviation 23 minutes. A researcher observed 46
students who entered the library to study. Round all answers to 4
decimal places where possible.
Find the probability that the randomly selected 46 students
will have a total study time less than 2070 minutes.
For part e) and f), is the assumption of normal necessary?
YesNo
The...

The average time to run the 5K fun run is 22 minutes and the
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to run the 5K fun run. Round all answers to 4 decimal places where
possible and assume a normal distribution.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected runner is timed, find the...

The average time to run the 5K fun run is 23 minutes and the
standard deviation is 2.4 minutes. 17 runners are randomly selected
to run the 5K fun run. Round all answers to 4 decimal places where
possible and assume a normal distribution.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected runner is timed, find the...

The length of time it takes college students to find a parking
spot in the library parking lot follows a normal distribution with
a mean of 6.5 minutes and a standard deviation of 1 minute.
a. Find the probability that it will take a randomly selected
college student more than 4.0 minutes to find a parking spot in the
library parking lot.
b. Find the probability that a randomly selected college student
will find a parking spot in the library...

The average time to run the 5K fun run is 20 minutes and the
standard deviation is 2.3 minutes. 7 runners are randomly selected
to run the 5K fun run. Round all answers to 4 decimal places where
possible and assume a normal distribution. What is the distribution
of X X ? X X ~ N(,) What is the distribution of ¯ x x¯ ? ¯ x x¯ ~
N(,) What is the distribution of ∑ x ∑x ? ∑...

The average amount of money that people spend at Don Mcalds fast
food place is $7.7000 with a standard deviation of $1.8900. 46
customers are randomly selected. Please answer the following
questions, and round all answers to 4 decimal places where possible
and assume a normal distribution.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
What is the probability that one...

Each sweat shop worker at a computer factory can put together 4
computers per hour on average with a standard deviation of 0.7
computers. 7 workers are randomly selected to work the next shift
at the factory. Round all answers to 4 decimal places where
possible and assume a normal distribution.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one...

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