In 1940 the average size of a U.S. farm was 174 acres. Let’s say that the standard deviation was 55 acres. Suppose we randomly survey 38 farmers from 1940. (Source: U.S. Dept. of Agriculture)
In words,
In words,
The IQR for
is from _______ acres to _______ acres.
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
if three forces F1.f2 .f3 act at a point on a Cartesian plane in the daigram .....so if the question says write down the x and y components ..... I really don't understand
a fixed gas of a mass is held at standard pressure temperature of 15 degrees Celsius .Calculate the temperature of the gas in Celsius if the pressure is changed to 2×10 to the power 4
Receive real-time job alerts and never miss the right job again
Source:
OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
Google Play and the Google Play logo are trademarks of Google Inc.
Notification Switch
Would you like to follow the 'Collaborative statistics using spreadsheets' conversation and receive update notifications?