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Data It
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100

Is the following experimental or observational?

A researcher stood at a busy intersection to see if the color of the automobile that a person drives is related to running red lights.

Observational, because there was no variable that was controlled.

100

This season, you and your 9 other friends earn this many Fortnite Dubs as shown. What is your percentile if you earned 14 Fortnite Dubs?

65th Percentile (Must say percentile! % is not Percentile)

2, 3, 5, 6, 8, 10, 14, 16, 18, 20

Yours is the seventh score.

(7-1+.5)/10=0.65

100

The probability (with correct notation and work) that you draw a club or a spade when 1 card is selected from a deck of 52 cards.

P(C)+P(S)=13/52+13/52=0.5

100

Mean and Standard Deviation Formulas of a sampling distribution, using correct symbols.

Mean:  \mu_barx = \mu 

Standard Deviation:  sigma_barx=\sigma/\sqrtn 

200

Label each with the correct kind of distribution:

200

Solve without 1-var Stats!

This season, you and your 7 other friends earn this many Fortnite Dubs as shown. What is Q1, Q2, and Q3 for your Fortnite Dub counts?

16, 14, 6, 7, 1, 4, 20, 11

Q1 = 5, Q2 = 9, Q3 = 15

1, 4, 6, 7, 11, 14, 16, 20

200

The probability (with correct notation and work) of drawing two cards at random without replacement and getting two jacks.

(4/52)(3/51)=12/2652=1/221=0.0045

200

Give the z-score for the area shown below:

z-"score"="invnorm"(0.7451,0,1)=0.6591

300

The basic two elements that distinguish an experimental study from an observation study

A treatment is applied and there is a control group

300

A random sample of 8 is pulled from our class. The amount of homework assignments that were turned in are shown below. From the data, show the calculation and determine if any of them were outliers?

4, 8, 3, 3, 0, 1, 4, 3

Give the upper and lower boundaries for Outliers

Q1 = 2, Q3 = 4

0, 1, 3, 3, 3, 4, 4, 8

1.5 IQR = 1.5(4-2) = 1.5(2) = 3

Outlier range is: 2-3=-1 to 4+3=7

8 donuts is an outlier

300

You are playing 5-card stud poker.

The probability (with correct notation and work) that you are dealt 3 aces and 2 fives.

(4C3*4C2)/(52C5)=24/(2598960)=1/108290=0.0000092

300

The average American family eats 17.2 vegetables a month. Assume the standard deviation of the distribution is 2.5 vegetables. Determine the amount of vegetables eaten for the middle 40% of all American families (include calculator function and graph)

"invnorm"(0.30,17.2,2.5)=15.89

"invnorm"(0.70,17.2,2.5)=18.51

400

Give a "bias" that is found in this graph:

The vertical axis scale is very exaggerated.  This causes the illusion of a greater difference between the two teachers.

400

In one sitting, you ate 80 hotdogs while the mean was 75 and the standard deviation was 10. Then, in one sitting, you ate 35 hamburgers while the mean was 25 and the standard deviation was 5.

A. Determine the z-score of both.

B. Which one did you relatively eat more of?

z-"score"=(80-75)/10=0.5

z-"score"=(35-25)/5=2.0

You relatively ate more hotdogs.

400
Solve this riddle:

Container without hinges,

key, or lid;

Yet golden treasure,

inside is hid.

An Egg

400

You love to buy your girlfriend flowers. If you buy her flowers 8 different times, and there is a 20% chance that she hates them each time, what is the probability that she hates them 3 times? What is the mean and standard deviation of her hating flowers?

500

z-score measures _________

And

standard deviation measures_______

z-score measures the number of standard deviations a value is from the mean

And

standard deviation measures how consistent or how spread out your data is

500

Your basketball team’s average score for the last 7 games is 67, and for your last 6 games your team scored 56, 78, 65, 41, 70, and 104 points.

A) Determine the score of your 7th game

B)Determine the coefficient of variation for the sample of scores

A.  (56+78+65+41+70+104+x)/7=67 

 x=55 

B.  20.18/67(100)=30.12% 

500

A box contains black and white dice.  A person selects two dice without replacement.  The probability of selecting a black die and then a white die is 8/51, and the probability of selecting a black die on the first draw is 1/5.

The probability (with correct notation and work) of selecting the white die on the second draw, given that the first die selected was a black die.

Draw a tree diagram to help!

8/51=1/5*P(W|B)

P(W|B)=40/51=0.784

500

A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a single sample of 55 families will be between 17 & 18 pounds (include calculator function)

 mu_barx=17.23, sigma_barx=2.5/\sqrt55=0.3371 

"normalcdf"(17,18,17.2,2.5/\sqrt55)=0.7147

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