Ashworth Probabilities in Families with 4 Children Statistical Analysis

Anonymous

Question Description

Both assignment has 4 questions each with sub-parts.

Help me with them.

Need steps to be shown.

thanks in advance

Unformatted Attachment Preview

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

Tutor Answer

proggerardo
School: Duke University

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...

flag Report DMCA
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.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4
Similar Questions
Related Tags

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