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The average lifespan of a Ghanaian is 57years. The average lifespan of males in Ghana is known to be 55 years while the average lifespan of females in Ghana is known to be 60 years. The average lifespan of people from the Northern region of Ghana is known to be 58 years while the average lifespan of people in the East region of Ghana is known to be 54 years.
Use the above information to answer the following questions:
(i).With your reasons, discuss all possible population parameters from the above information.
(ii).With your reasons, discuss all possible sample statistics from the above information.
(iii) Compare and contrast the average lifespan of males and females. Which group average is more likely to represent the corresponding population parameter? Give reasons for your answer.
Akoshia has more money than komley . If Akoshia gave komley ¢ 22, Akoshia would then have twice as much as komley. How much does each one actually have?
Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
(a) Suppose n = 28 and p = 0.18. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)
np = nq =
, p̂ be approximated by a normal random variable because .
What are the values of 𝜇p̂ and 𝜎p̂? (Use 3 decimal places.) 𝜇p̂ = 𝜎p̂ =
(b) Suppose n = 25 and p = 0.15. Can we safely approximate p̂ by a normal distribution? Why or why not?
, p̂ be approximated by a normal random variable because .
(c) Suppose n = 40 and p = 0.39. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)
np = nq =
, p̂ be approximated by a normal random variable because .
What are the values of 𝜇p̂ and 𝜎p̂? (Use 3 decimal places.) 𝜇p̂ = 𝜎p̂ =
Q 01:Rolling Two Dice: If two dice are rolled one time, findthe probability of getting these results.
a. A sum of 6
b. Doubles
c. A sum of 7 or 11
d. A sum greater than 9
e. A sum less than or equal to 4
Q 02:Read the following study and answer the questions.
A baking company selected 36 women weighing different amounts and randomly assigned them
to four different groups. The four groups were white bread only, brown bread only, low-fat whitebread only, and low-fat brown bread only. Each group could eat only the type of bread assigned tothe group. The study lasted for eight weeks. No other changes in any of the women’s diets wereallowed. A trained evaluator was used to check for any differences in the women’s diets. The resultsshowed that there were no differences in weight gain between the groups over the eight-week period.
1. Did the researchers use a population or a sample for their study?
2. Based on who conducted this study, would you consider the study to be biased?
3. Which sampling method do you think was used to obtain the original 36 women for the
study (random, systematic, stratified, or clustered)?
4. Which sampling method would you use? Why?
5. How would you collect a random sample for this study?
6. Does random assignment help representativeness the same as random selection does? Explain.
Answer:
Q 03:Compute the consumer price index number for 2016 on the basis of 2010 from the following data, using (i) Aggregative Expenditure Method and (ii) the Household Budget Method.
Commodity
Quantity consumed
in 2010 (Qo)
Prices in 2010 (Po)
Prices in 2016 (Pn)
Rice
Wheat
Sugar
Oil
96
240
300
200
50
25
40
70
100
40
65
160
Answer:
Q 04: a) A continuous r.v.X has the p.d.f. as follows:
Find the value of A.
b) Let X be a random variable with probability distribution
X
-1 0 1 2 3
f(x)
0.125 0.50 0.20 0.05 0.125
Find E(X).
Answer:
Q 05: a) Let A, B and C be event (subsets) in a sample space S defined by
List the members of the following events:
(i) (ii)
b) Calculate the arithmetic mean, median and modal number of persons per house from the following data
No. of Persons per house (X)
1
2
3
4
5
6
7
8
9
10
No. of houses (f)
26
113
120
95
60
42
21
14
5
4
- For a random sample of 75 British entrepreneurs, the mean number of job changes was 1.92 and the sample standard deviation was 1.41. For an independent random sample of 115 British corporate managers, the mean number of job changes was 0.71 and the sample standard deviation was 0.68. Test the null hypothesis that the population means are equal against the alternative that the mean number of job changes is higher for British entrepreneurs than for British corporate managers. Are your findings significant, if so, at what level?
A small lake contains 25 fish. One day a fisherman catches 8 of these fish and tags them so that they can be recognized if they are caught again. The tagged fish are released back into the lake. The next day the fisherman goes out and catches 5 fish, which are kept in the fishing boat until they are all released at the end of the day. • What is the distribution of the number of tagged fish caught by the fisherman on the second day? • Find the expected number of tagged fish recaptured on the second day. • Find the probability that the fisherman caught at least 6 tagged fish on the second day
There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 the same colour?
department of labor and employment (dole) found that 83% of Filipinos think that having a college education is important to succeed in life. if a random samples of seven Filipinos is selected, find this probabilities.
a. exactly four people will agree with that statement
b. at most two people will agree with that statement
c. at least five two people will agree with that statement
There is a bag filled with 5 blue, 6 red and 2 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?
Five coins are tossed. Let Z be the random variable representing the number of heads that occur. Find the values of the random variable Z.
#339914 on Dec 2023