Access over 20 million homework documents through the notebank

Get on-demand Q&A homework help from verified tutors

Read 1000s of rich book guides covering popular titles

Anonymous

Both assignment has 4 questions each with sub-parts.

Help me with them.

Need steps to be shown.

thanks in advance

Tags:
probability
statistics
Statistical analysis
hypothesis test
Ashworth College
simple and conditional probability

Directions: Be sure to save an electronic copy of your answer
before submitting it to Ashworth College for grading. Unless
otherwise stated, answer in complete sentences, and be sure
to use correct English, spelling, and grammar. Refer to the
“Assignment Format” page located on the Course Home Page
for specific format requirements.
NOTE: Show your work in the problems.
1. In families with four children, you’re interested in the
probabilities for the different possible numbers of girls in a
family. Using theoretical probability (assume girls and boys
are equally likely), compile a five-column table with the
headings “0” through “4,” for the five possible numbers of girl
children in a four-child family. Then, using “G” for girls and
“B” for boys, list under each heading the various birth-order
ways of achieving that number of girls in a family.
Then, use your table to calculate the following probabilities:
a. The probability of 1 girl
b. The probability of 2 girls
c. The probability of 4 girls
d. The probability the third child born is a girl
2. As pictured in Figure 6.11 of your textbook, a roulette
wheel has 38 numbers: 18 odd black numbers from 1 to 35,
18 even red numbers from 2 to 36, and the two green
numbers 0 and 00. Using theoretical probability, calculate the
following:
a. The probability of spinning a green number
b. The probability of spinning a number greater than 30
c. The probability of spinning a red number less than 10
d. The probability of spinning an even black number
e. The expected total of green numbers in 57,000 spins
3. In a nationwide polls of 1,500 randomly selected U.S.
residents, 77% said that they liked pizza. In a poll of 1,500
randomly selected U.S. residents one month later, 75%
responded that they liked pizza.
a. Does the polling evidence support the claim that pizza
declined in popularity over the month between polls? Explain
why or why not.
b. Using statistical terminology, precisely identify the
population parameter the two polls were attempting to
measure. How does a parameter differ from a statistic?
c. Based on the two polls, what would you say to someone
who guessed that the population parameter the polls are
trying to measure is really only 50%?
4. Eleven people have eleven different favorite numbers from
2 to 12. They all agree to participate in a 10,000-roll dice
game where they bet $1 on their favorite number for each roll
of two standard (fair) dice. A donor kicks in an extra dollar
every round, so the payoff if your number comes up is $12.
a. Assuming everyone bets on all 10,000 rounds, what is the
expected value for a person who has number 7? (Show your
calculations.)
b. Assuming everyone bets on all 10,000 rounds, what is the
expected value for a person who has number 2? (Show your
calculations.)
Directions: Be sure to save an electronic copy of your answer
before submitting it to Ashworth College for grading. Unless
otherwise stated, answer in complete sentences, and be sure
to use correct English, spelling, and grammar. Refer to the
“Assignment Format” page located on the Course Home Page
for specific format requirements.
NOTE: Show your work in the problems.
1. In the following situations, indicate whether you’d use the
normal distribution, the t distribution, or neither.
a. The population is normally distributed, and you know the
population standard deviation.
b. You don’t know the population standard deviation, and the
sample size is 35.
c. The sample size is 22, and the population is normally
distributed.
d. The sample size is 12, and the population is not normally
distributed.
e. The sample size is 45, and you know the population
standard deviation.
2. The prices of used books at a large college bookstore are
normally distributed. If a sample of 23 used books from this
store has a mean price of $27.50 with a standard deviation of
$6.75, use Table 10.1 in your textbook to calculate the
following for a 95% confidence level about the population
mean. Be sure to show your work.
a. Degrees of freedom
b. The critical value of t
c. The margin of error
d. The confidence interval for a 95% confidence level
3. Statistics students at a state college compiled the following
two-way table from a sample of randomly selected students at
their college:
Male students
Female
students
Play chess
Don’t play chess
25
162
19
148
Answer the following questions about the table. Be sure to
show any calculations.
a. How many students in total were surveyed?
b. How many of the students surveyed play chess?
c. What question about the population of students at the state
college would this table attempt to answer?
d. State Hº and Hª for the test related to this table.
4. Answer the following questions about an ANOVA analysis
involving three samples.
a. In this ANOVA analysis, what are we trying to determine
about the three populations they’re taken from?
b. State the null and alternate hypotheses for a three-sample
ANOVA analysis.
c. What sample statistics must be known to conduct an
ANOVA analysis?
d. In an ANOVA test, what does an F test statistic lower than
its critical value tell us about the three populations we’re
examining?
...

Purchase answer to see full attachment

Purchase answer to see full attachment

Attached you will find the outline (index) and answers of your assignments (in Word and PDF). Please let me know if you need edits 😊

ANSWERS. ASSINGMENT 1.

1. Probabilities in families with four children.

Number of girl children in the family

1

2

3

BBBG

BBGG

BGGG

BBGB

BGBG

GGGB

BGBB

BGGB

GGBG

GBBB

GGBB

GBGG

GBGB

GBBG

0

BBBB

a) 𝑃(1) =

b) 𝑃(2) =

c) 𝑃(4) =

𝑛𝑢𝑚𝑏𝑒𝑟 𝑒𝑣𝑒𝑛𝑡𝑠 𝑓𝑜𝑟 1 𝑔𝑖𝑟𝑙

𝑛𝑢𝑚𝑏𝑒𝑟 𝑡𝑜𝑡𝑎𝑙 𝑒𝑣𝑒𝑛𝑡𝑠

𝑛𝑢𝑚𝑏𝑒𝑟 𝑒𝑣𝑒𝑛𝑡𝑠 𝑓𝑜𝑟 2 𝑔𝑖𝑟𝑙𝑠

𝑛𝑢𝑚𝑏𝑒𝑟 𝑡𝑜𝑡𝑎𝑙 𝑒𝑣𝑒𝑛𝑡𝑠

𝑛𝑢𝑚𝑏𝑒𝑟 𝑒𝑣𝑒𝑛𝑡𝑠 𝑓𝑜𝑟 4 𝑔𝑖𝑟𝑙𝑠

d) 𝑃(3𝑟𝑑 ) =

𝑛𝑢𝑚𝑏𝑒𝑟 𝑡𝑜𝑡𝑎𝑙 𝑒𝑣𝑒𝑛𝑡𝑠

4

1

= 16 = 4 = 0.25

6

3

= 16 = 8 = 0.375

1

= 16 = 0.062

𝑛𝑢𝑚𝑏𝑒𝑟 𝑒𝑣𝑒𝑛𝑡𝑠 𝑓𝑜𝑟 𝑎 𝑔𝑖𝑟𝑙 𝑖𝑛 𝑡ℎ𝑖𝑟𝑑 𝑐ℎ𝑖𝑙𝑑

𝑛𝑢𝑚𝑏𝑒𝑟 𝑡𝑜𝑡𝑎𝑙 𝑒𝑣𝑒𝑛𝑡𝑠

8

1

= 16 = 2 = 0.5

2. Roulette wheel probabilities

a) Green numbers (0, 00).

𝑛𝑢𝑚𝑏𝑒𝑟 𝑒𝑣𝑒𝑛𝑡𝑠 𝑓𝑜𝑟 𝑔𝑟𝑒𝑒𝑛

2

1

𝑃(𝐺) =

=

=

= 0.0526

𝑛𝑢𝑚𝑏𝑒𝑟 𝑡𝑜𝑡𝑎𝑙 𝑒𝑣𝑒𝑛𝑡𝑠

38 19

b) Number greater than 30 (31, 32, 33, 34, 35, 36)

𝑛𝑢𝑚𝑏𝑒𝑟 𝑒𝑣𝑒𝑛𝑡𝑠 𝑓𝑜𝑟 𝑣 > 30

6

3

𝑃(𝑣 > 30) =

=

=

= 0.1579

𝑛𝑢𝑚𝑏𝑒𝑟 𝑡𝑜𝑡𝑎𝑙 𝑒𝑣𝑒𝑛𝑡𝑠

38 19

c) Red number less than 10 (8, 6, 4, 2)

𝑛𝑢𝑚𝑏𝑒𝑟 𝑒𝑣𝑒𝑛𝑡𝑠 𝑓𝑜𝑟 𝑅 < 10

4

2

𝑃(𝑅 < 10) =

=

=

= 0.1053

𝑛𝑢𝑚𝑏𝑒𝑟 𝑡𝑜𝑡𝑎𝑙 𝑒𝑣𝑒𝑛𝑡𝑠

38 19

d) Even black number (none, black numbers are odd)

𝑛𝑢𝑚𝑏𝑒𝑟 𝑒𝑣𝑒𝑛𝑡𝑠 𝑓𝑜𝑟 𝐵 = 𝑒𝑣𝑒𝑛

0

𝑃(𝐵 = 𝑒𝑣𝑒𝑛) =

=

=0

𝑛𝑢𝑚𝑏𝑒𝑟 𝑡𝑜𝑡𝑎𝑙 𝑒𝑣𝑒𝑛𝑡𝑠

38

e) Expected green in 57,000 spins.

2

𝐸 = 𝑁 × 𝑃(𝐺) = 57,000 ×

= 3,000

38

4

GGGG

3. Pizza Poll

a) By the inspection of the percentages of pizza acceptance in US residents from two polls

with one month of difference, it is not possible to conclude that there is a decline in

pizza popularity. It is important to consider th...

Review

Anonymous

I was on a very tight deadline but thanks to Studypool I was able to deliver my assignment on time.

Anonymous

The tutor was pretty knowledgeable, efficient and polite. Great service!

Anonymous

Heard about Studypool for a while and finally tried it. Glad I did caus this was really helpful.

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors