AA C&C Unit 1 Test REVIEW - Descriptive & Inferential Statistics

A study examined a random sample of 60 residents and found the mean weight to be 145 pounds with a standard deviation of 32 pounds.

At the 95% confidence level, use the normal distribution/empirical rule to estimate the MARGIN OF ERROR for the mean.

*Round to the nearest TENTH

(a)  

Tags

CCSS.HSS.IC.B.4

A study surveyed a random sample of 45 students in the high school and found a mean savings of 1800 dollars with a standard deviation of 150 dollars.

Use the normal distribution/empirical rule to estimate a 95% CONFIDENCE INTERVAL for the mean.

*Round to a WHOLE NUMBER

(​ (a)   ​ ,​ (b)   )

• 1755
• 1845
• 1793
• 18007
• 1650
• 1750

Tags

CCSS.HSS.IC.B.4

Use z-scores and the standard normal table to find the proportion for the following scenario.

A set of HS student heights are normally distributed with a mean of 59 in and a standard deviation of 8 in. Brandon is a HS student with a height of 77 in. What proportion of student heights are LOWER than Brandon's height?

Drag and drop the answers to show your work below.

z₇₇ = (​ (a)   - ​ (b)   ) / ​ (c)   = ​ (d)  

Answer from Z-Table: ​ (e)  

• 2.25
• 69.625
• 0.9798
• 0.9878
• 0.0122
• 77
• 59
• 8

Tags

CCSS.HSS.ID.A.4

• 0.32

• 0.6255

• 0.3745

• 76.493

• 0.7052

Tags

CCSS.HSS.ID.A.4

Use z-scores and the standard normal table to find the proportion for the following scenario.

A set of mathematics exam scores are normally distributed with a mean of 80.5 points and a standard deviation of 3 points. What proportion of exam scores are BETWEEN 81 and 86 points?

Drag & drop the correct answers to your work below. *Round z-scores to the nearest HUNDREDTH

z₈₁ = ​ (a)  

z₈₆ = ​ (b)  

Answer: ​ (c)   - ​ (d)   = ​ (e)  

• 81
• 86
• 0.17
• 1.83
• 0.9664
• 0.5675
• 0.3989
• -0.3989
• 1.66
• 5

Tags

CCSS.HSS.ID.A.4

What are the percentages under the Normal Distribution curve?

*Reorder to answer for spot A, B, C & D in the order given in the picture.

• 0.15

• 13.5

• 34

• 2.35

Given the following scenario, choose the correct numerical value to represent each of the lines in the standard normal bell curve pictured.

The lifespans of monkeys in a particular zoo are normally distributed. The average monkey lives 18.2 years; the standard deviation is 2.4 years.

line A: ​ (a)  

line B: ​ (b)  

line C: ​ ​ (c)  

line D: ​ ​ ​ (d)  

• 11
• 18.2-2(2.4)
• 18.2 - 2.4
• 18.2 +3(2.4)
• 23
• 18.2
• 20.6
• 38.8
• -15.8

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.2

The lifespans of tigers in a particular zoo are normally distributed. The average tiger lives 22.4 years; the standard deviation is 2.7 years.

Use the empirical rule (68−95−99.7%)

to estimate the probability of a tiger living less than 14.3 years

• 0.15%

• 15%

• 99.85%

• 85%

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

The lifespans of tigers in a particular zoo are normally distributed. The average tiger lives 22.4 years; the standard deviation is 2.7 years.

Which curve depicts the probability of a tiger living between 17 and 25.1 years?

• 
• 
• 
• 

The study described in the report is a randomized comparative experiment.

Match the treatment, the treatment group, and the control group.

A psychologist wants to determine if working below fluorescent lights could cause lethargy. At a particular company new lights are installed, where half are fluorescent and half are incandescent. A month later, workers take a survey about their energy level while at work.

• working below fluorescent light

• Treatment Group

• group working under incandescent light

• Treatment

• group working below fluorescent lights

• Control Group