Construct a histogram of the distribution. Start at
. Make bar widths of $5.
In words, describe the distribution of stock prices.
Randomly average 5 stock prices together. (Use a random number generator.) Continue averaging 5 pieces together until you have 15 averages. List those 15 averages.
Use the 15 averages from (e) to calculate the following:
Construct a histogram of the distribution of the averages. Start at
. Make bar widths of $5.
Does this histogram look like the graph in (c)? Explain any differences.
In 1 - 2 complete sentences, explain why the graphs either look the same or look different?
Based upon the theory of the Central Limit Theorem,
Try these multiple choice questions (exercises19 - 23).
The next two questions refer to the following information: The time to wait for a particular rural bus is distributed uniformly from 0 to 75 minutes. 100 riders are randomly sampled to learn how long they waited.
The 90th percentile sample average wait time (in minutes) for a sample of 100 riders is:
315.0
40.3
38.5
65.2
B
Would you be surprised, based upon numerical calculations, if the sample average wait time (in minutes) for 100 riders was less than 30 minutes?
Yes
No
There is not enough information.
A
Which of the following is NOT TRUE about the distribution for averages?
The mean, median and mode are equal
The area under the curve is one
The curve never touches the x-axis
The curve is skewed to the right
D
The next three questions refer to the following information: The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations.
The distribution to use for the average cost of gasoline for the 16 gas stations is
~
~
~
~
B
What is the probability that the average price for 16 gas stations is over $4.69?
Almost zero
0.1587
0.0943
Unknown
A
Find the probability that the average price for 30 gas stations is less than $4.55.
0.6554
0.3446
0.0142
0.9858
0
C
For the Charter School Problem (Example 6) in
Central Limit Theorem: Using the Central Limit Theorem , calculate the following using the normal approximation to the binomial.
Find the probability that less than 100 favor a charter school for grades K - 5.
Find the probability that 170 or more favor a charter school for grades K - 5.
Find the probability that no more than 140 favor a charter school for grades K - 5.
Find the probability that there are fewer than 130 that favor a charter school for grades K - 5.
Find the probability that exactly 150 favor a charter school for grades K - 5.
If you either have access to an appropriate calculator or computer software, try calculating these probabilities using the technology. Try also using the suggestion that is at the bottom of
Central Limit Theorem: Using the Central Limit Theorem for finding a website that calculates binomial probabilities.
0.0162
0.0268
Four friends, Janice, Barbara, Kathy and Roberta, decided to carpool together to get to school. Each day the driver would be chosen by randomly selecting one of the four names. They carpool to school for 96 days. Use the normal approximation to the binomial to calculate the following probabilities. Round the standard deviation to 4 decimal places.
Find the probability that Janice is the driver at most 20 days.
Find the probability that Roberta is the driver more than 16 days.
Find the probability that Barbara drives exactly 24 of those 96 days.
If you either have access to an appropriate calculator or computer software, try calculating these probabilities using the technology. Try also using the suggestion that is at the bottom of
Central Limit Theorem: Using the Central Limit Theorem for finding a website that calculates binomial probabilities.
0.2047
0.9615
0.0938
**Exercise 24 contributed by Roberta Bloom
Questions & Answers
I'm interested in biological psychology and cognitive psychology
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
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Source:
OpenStax, Collaborative statistics (custom lecture version modified by t. short). OpenStax CNX. Jul 15, 2013 Download for free at http://cnx.org/content/col11543/1.1
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