Ashworth Probabilities in Families with 4 Children Statistical Analysis Both assignment has 4 questions each with sub-parts. Help me with them.Need steps t

Ashworth Probabilities in Families with 4 Children Statistical Analysis Both assignment has 4 questions each with sub-parts. Help me with them.Need steps to be shown.thanks in advance 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?

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