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American National Curriculum

Grade 12

Statistics

Grade 12 Statistics Questions asked by Filo students

Question 1

Simplify.

\frac{c s c x}{c o t x}

Use algebra and the fundamental trigonometric identities. Your answer should be a number or use a single trigonometric function.

Topic:

The Nature of Statistics

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Question 2

xt Course 2023SP Stataties MAX 00 Lei Edinity Write your answer in the box below. edfinity.com/assessments/630485452e5109007662408 04 (a) I am estimating the ability to throw a crumpled piece of paper into a wastebasket. I am using this class as a sample. Attempt to toss the paper into the basket ten times. How many times did the crumpled paper fall into the basket? • Place a wastebasket in a room away from any wall or piece of furniture, Stand approximately 8 to 10 feet from the basket. . From that position, throw a piece of crumpled paper into the basket. • Repeat the throw ten times. Record how many times the paper ends up in the basket. DOLL I will place your result into a table with the other student results. b) I want to choose a target population whose throwing ability can be described well with the paper-throwing statistics (average, median, standard deviation range...) that I received from the students in this class. Here are some candidate populations:

MAT 181 students that commute to class by car.
Students in my classes for this year and the last ten years.
Online Boston area students during the Pandemic.
Online Community College students that have live Webex or Zoom classes with required attendance.

Topic:

The Sampling Distribution of the Sample Mean

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Question 3

Question 4 (1 point) What percent of people own a Ford? (Round to the nearest percent). a

19%

13%

18.5%

18%

Topic:

Probability Concepts

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Question 4

Question 5 (1 point) Life of AA batteries, in minutes How many batteries had a life of less than 410 minutes? Blank 1: Review Answers III

Topic:

Probability Concepts

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Question 5

2.1.14 In an injection-molding operation, the length and width, denoted as

X

and

Y

, respectively, of each molded part are evaluated. Let A denote the event of

48 < X < 52

centimeters

B

denote the event of

9 < Y < 11

centimeters Construct a Venn diagram that includes these events. Shade the areas that represent the following:

$A$
$A \cap B$
$A^{'} \cup B$
$A \cap B$
If these events were mutually exclusive, how successful would this production operation be? Would the process produce parts with $X = 50$ centimeters and $Y = 10$ centimeters?

Topic:

Probability Concepts

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Question 6

Name: Date: (Remember to show work, in order to receive full credit! If you run out of room, work out the problems on the back of this sheet.) Classify each variable listed as discrete or continuous. 1a. The volume inside a shoe box 1b. Number of dollar bills retrieved from a vending machine 1c. The attendance figure for a college bowl game Recently shoppers were asked how many gift certificates they've bought at the mall last year. The following results were tabulated:

Gift certificates purchased Percent of shoppers 0 41% 1 22% 2 14% 3 10% 4 8% 5 (or more) 5%

2a. Find the mean (or expected) number of gift certificates a shopper buys at the mall. (Treat "5 (or more)" as if it's " 5 ".) 2b. What is the probability that a shopper selected at random bought more than two gift certificates? According to a public opinion poll,

60%

of a town's residents want their mayor impeached. A panel of five randomly selected residents will decide if she goes. 3a. Find the mean and standard deviation for this panel. 3b. Find the probability that all five vote to impeach. 3c. Find the probability that a majority of the panel will vote to impeach. Formulas Expected value: Mean (binomial case): Standard deviation (binomial case):

μ = n p σ \overline{n pq}

Topic:

Probability Concepts

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Question 7

The histogram shows information about scores of the games played by the Jaguars basketball team during one season. Jaguars' Basketball Scores of Basketball Game How many games did the Jaguars play in the season? a 7 b 30 c 50 d 84

Topic:

Probability Concepts

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Question 8

Write esch int in the indcated form. Vyou nees to use" " to indicate a patien, make sure to list at least four elements of the set. As you aveate beise, remember thec the catirai fuebers are wat the courting rumbers. This means that 0 is not a natural number, and negative numbers are. not natural Aumben ether (a) Roster form:

{8, 12, 16)

Descrstive form (Owos one) (D) Oevorive formi the set of ons nutini tunters. Raver formi

?

Topic:

Probability Concepts

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Question 9

Over the last three evenings, Maya received a total of 78 phone calls at the call center. The second evening, she received 6 fewer calls than the first evening. The third evening, she received 2 times as many cats as the first evening. How many phone calls did she receive each evening? Number of phone calls the first eversing 0 5

Topic:

Probability Concepts

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Question 10

Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to list at least the first four elements of the set. (a) Roster form:

{13, 14, 15, 16}

Set-builder form: (Choose one) (b) Set-builder form:

{{x ∣ x is a natural number and x > 13} {x ∣ x is a natural number and x < 16}

Roster form:

{{x ∣ x is a natural number and 13 \leq x \leq 16) (x ∣ x is a natural number and 13 < x < 16)

Topic:

Probability Concepts

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Question 11

Unions, intersections, and complements involving 2 sets Sets

A

and

B

are subsets of the universal set

U

. These sets are defined as follows.

U = {m, q, s, x, y} A = {m, q, s} B = {q, s, y}

Find the following sets. Write your answer in roster form or as

\emptyset

. (a)

(A \cup B)^{'} =

(b)

A^{'} \cap B =

Topic:

Probability Concepts

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Question 12

Sets

A, B

, and

C

are subsets of the universat set

U

. These sets are defined as follows.

U = (f, g, h, p, q, r, x, y, z) A = (f, g, h, q, r) B = (q, r, x, z) C = (h, p, q, z)

Find

C \cup (B^{'} \cap A)

. Write your answer in master form or as

\emptyset

C \cup (B \cdot \cap A) = \emptyset

Topic:

Probability Concepts

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Question 13

Here are the meanings of some of the symbols that appear in the statements below. -

\subseteq

means "is a subset of." -

C

means "is a proper subset of." - Z means "is not a subset of." -

\emptyset

is the empty set. For each statement, decide if it is true or false.

Topic:

Probability Concepts

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Question 14

Question 2 (1 point) In five basketball games, a player scores the following points: 13, 21, 21, 21, and 24. What is the mean of the points scored? Blank 1: Question 3 (1 point) In Syracuse, high temperatures for six days were recorded at

9 0^{\circ}, 8 4^{\circ}, 8 4^{\circ}, 7 8^{\circ}, 7 3^{\circ}

, and

7 1^{\circ}

. What is the median temperature for these days? a

8 0^{\circ}

8 4^{\circ}

8 1^{\circ}

7 8^{\circ}

Question 4 (1 point)

Topic:

Probability Concepts

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Question 15

1 : 56Θ \cdot

■

\leftarrow

PSUnit 1 Test Questions

1 - 14

of 14 | Page 1 of 1 Question 1 ( 3 points) The distribution of the age at retirement for a random sample of 100 retirees from a large company is shown in the histogram below. Retirement Age What percent of these retirees retired before the age of 60 ? a

70%

14%

35%

7%

Topic:

Probability Concepts

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Question 16

CogBooks' Course Acti

x

It Transcript

x ∣ C

CogBooks' Course Sect

\times ∣

a Transcript-Chrome W

\times ∣ +

ction

=

activityBranding \&COURSEID

= 42328

SECTIONID

= 243713

3. A researcher collected two samples of salivary cortisol levels (in micrograms per deciliter) from young adult women. In Sample A, with sample size of 15, the sample variance was .082. In Sample B, with sample size of 40 , the sample variance was .077. Which of the following statements is true?

There was more variability in Sample B.
There was more variability in Sample A.
The sample mean must have been positive in Sample A and Sample B.
The variability of the samples cannot be compared because the sample sizes were different.

Topic:

Analysis of Variance (ANOVA)

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Question 17

Which child or children. if any, appeared to come from a significantly different population than the one used in the null hypothesis? What happens to the "significance" of each child's data as the data are progressively more dispersed?

Topic:

Hypothesis Tests for One Population Mean

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Question 18