Transcript More Review Stuff

The average number of blue M&M’s in a “fun size”
pack is 8. If the standard deviation of the data is 1.1,
find:
a) The margin of error with a confidence interval of
96%
b) The margin of error with a confidence interval of
92%
c) The probability your fun size package will have at
most 6 blue M&M’s
The average number of blue M&M’s in a “fun size”
pack is 8. If the standard deviation of the data is 1.1,
find:
a) The margin of error with a confidence interval of
96% ±𝟐. 𝟐𝟔
b) The margin of error with a confidence interval of
92% ±𝟏. 𝟗𝟑
c) The probability your fun size package will have at
most 6 blue M&M’s 𝟑. 𝟒𝟓%
Determine whether each sampling method is
appropriate or not. If the method is not appropriate,
briefly discuss why not.
a. A student stands outside an expensive restaurant
and asks customers their opinion on welfare.
b. The National Rifle Association asks subscribers to
their magazine to call a toll-free number and take a poll on
gun control.
c. A researcher stands outside a grocery store and asks
shoppers about their weekly grocery bill.
Determine whether each sampling method is
appropriate or not. If the method is not appropriate,
briefly discuss why not.
a. A student stands outside an expensive restaurant
and asks customers their opinion on welfare. Not
appropriate, only one specific restaurant surveyed.
b. The National Rifle Association asks subscribers to
their magazine to call a toll-free number and take a poll on
gun control. Not appropriate, subscribers are probably biased
on gun control
c. A researcher stands outside a grocery store and asks
shoppers about their weekly grocery bill. Appropriate**
A school attaches prizes to each
student’s report card. There are 4
different prizes – 20% of the report
cards have a Bo’s Gift Card, 30% of the
report cards have a $5 bill, 40% of the
report cards have a sticker, and only
10% of the report cards have a $20 bill.
Design a simulation to determine how
many students you will need to ask
such that you’ve talked to a person
who has received every prize.
Statistics Review!
What’s on the test?
Understanding Statistical Studies (observational,
experimental, survey)
Understanding Random sampling and bias
Understanding Normal Distribution (Empirical Rule, Standard
Deviation)
Understanding Z Scores and their purpose
Finding the area under the curve and the probability a data
point is selected.
Understanding Margin of Error and Confidence Levels
Understanding Simulations
3 points
A study publishes that the average weight of a
baby ALLIGATOR is approximately 4.9 pounds
with a standard deviation of 1.01 pounds. The
researchers are 93.6 percent confident of their
findings. When publishing the results, what
would you say is the margin of error?
+- 1.87 pounds
Lily ran the mile in 7 minutes. The average high
school female can run the mile in 8 minutes
with a standard deviation of 14 seconds. Find
Lily’s z-score. 1 point -4.29
Eli ran the mile in 6 minutes. The average high
school male can run the mile in 6.5 minutes
with a standard deviation of 23 seconds. Find
Eli’s z-score. 1 point -1.30
Who was faster?? 1 point Lily compared to
her peers
What percentage of parrots weigh between 3
and 5 pounds if the average is 4 and the
standard deviation is one? 3 points
68%
A study publishes that the average weight of a
baby ALLIGATOR is approximately 4.9 pounds
with a standard deviation of 1.01 pounds. What
percentile would an alligator be in if she weighs
3.2 pounds? 2 points
4th
Fatma’s z-score for the mile run is -1.2. Sam’s zscore on his recent test was 1.2. Who
performed better? 3 points
Both performed
equally
A study publishes that the average weight of a
baby ALLIGATOR is approximately 4.9 pounds
with a standard deviation of 1.01 pounds. What
is the chance you find a baby alligator that
weighs more than 5.3 pounds? 2 points
34.6%
•A person rolls a number cube 10 times and records the number
of 3’s that are rolled. They repeat this trial 10 times. Simulate
the trial and record your data below.
•What was the total percentage of 3’s rolled?
•If we repeated the trials 10,000 times, what value would you
expect for letter a?
Trial #
Number of 3’s
1
2
3
4
5
6
7
8
9
10