Statistics – Unit 5 Milestone 5 (Version 2) | 2026 Verified Answers & Solutions

UNIT 5 — MILESTONE 5
Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5.pdf




23/23

23/23  that's 100% RETAKE



 23 questions were answered correctly.



1 
●

A ball is drawn from a bag of 26 red and 12 yellow balls. The
process is repeated 50 times, replacing each ball that is drawn.

Which of the following statements about the distributions of
counts and proportions is TRUE?



The distribution of the count of
drawing a yellow ball from a
sample size of 10 can be
●
approximated with a normal
distribution.



The distribution of the count of
drawing a red ball cannot be
● approximated with a normal
distribution.



The count of drawing a red ball is
  a binomial distribution.



The count of drawing a yellow
● ball is not a binomial distribution.

Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5.pdf

, RATIONALE
UNIT 5 — MILESTONE 5
Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5.pdf


Recall that if we look at the counts from a large population of
success and failures (2 outcomes), this is called a binomial 23/23
distribution. For this to be true, success would be a red ball
and failure (blue and yellow) would be another.


CONCEPT
→ Distribution of Sample Proportions

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2 
●

George measured the weight of a random sample of 49 cartons
of apples. The mean weight was 45.5 pounds, with a standard
deviation of 3.




To see if the cartons have a significantly different mean weight
from 46 pounds, what would the value of the z-test statistic be?
Answer choices are rounded to the hundredths place.



-1.17
 



-0.13
●



0.13
●



1.17
●



RATIONALE
Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5.pdf

,Statistics Unit_5 MilestoneIf5 wefirst note the denominator of
UNIT 5 — MILESTONE 5
Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5.pdf


Then, getting the z-score we can note it is
23/23

This tells us that 45.5 is 1.17 standard deviations below the
value of 46.

CONCEPT
→ Z-Test for Population Means

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3 
●

Brad recorded the number of visitors at the local science
museum during the week:


Day Visitors

Tuesday 18

Wednesday 24

Thursday 28

Friday 30


He expected to see 25 visitors each day. To answer whether the
number of visitors follows a uniform distribution, a chi-square test
for goodness of fit should be performed. (alpha = 0.10)




What is the chi-squared test statistic? Answers are rounded to
the nearest hundredth.



1.12
●

Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5.pdf

, UNIT 5 — MILESTONE 5
Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5.pdf
3.36
 

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1.40
●



2.54
●



RATIONALE

Using the chi-square formula we can note the test statistic is




CONCEPT
→ Chi-Square Test for Goodness-of-Fit

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4 
●

Edwin conducted a survey to find the percentage of people in an
area who smoked regularly. He defined the label “smoking
regularly” for males smoking 30 or more cigarettes in a day and
for females smoking 20 or more. Out of 635 people who took
part in the survey, 71 are labeled as people who smoke regularly.




Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5 Statistics Unit_5 Milestone 5.pdf