The average number of blue M&M’s in a “fun size” pack is 8. If the standard deviation of the...

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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

Transcript of The average number of blue M&M’s in a “fun size” pack is 8. If the standard deviation of the...

Page 1: 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.

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

Page 2: 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.

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

Page 3: 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.

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.

Page 4: 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.

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**

Page 5: 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.

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.

Page 6: 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.

Statistics Review!What’s on the test?

Understanding Statistical Studies (observational, experimental, survey)Understanding Random sampling and biasUnderstanding Normal Distribution (Empirical Rule, Standard Deviation)Understanding Z Scores and their purposeFinding the area under the curve and the probability a data point is selected.Understanding Margin of Error and Confidence LevelsUnderstanding Simulations

Page 7: 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.

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?

3 points

+- 1.87 pounds

Page 8: 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.

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

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

Who was faster?? 1 point

-4.29

-1.30

Lily compared to her peers

Page 9: 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.

What percentage of parrots weigh between 3 and 5 pounds if the average is 4 and the standard deviation is one? 3 points

68%

Page 10: 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.

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

Page 11: 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.

Fatma’s z-score for the mile run is -1.2. Sam’s z-score on his recent test was 1.2. Who performed better? 3 points

Both performed equally

Page 12: 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.

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%

Page 13: 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.

Trial # 1 2 3 4 5 6 7 8 9 10

Number of 3’s

•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?