Statistics and Probability Answers

A population consists of the four numbers: 2, 3, 6, and 9. You have to consider all possible samples of size 2 that can be drawn from this population. Find the following:

a. the mean of the population;

b. the standard deviation of the mean of the population;

c. the mean of the sampling distribution of the sample means; and

d. the standard deviation of the sampling distribution of the sample means.

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.

A contractor decided to build homes that will include the middle 80% of the market. If the average size of homes built is 1750 square feet, find the maximum and minimum sizes of the homes the contractor should build. Assume that the standard deviation is 96 square feet and the variable is normally distributed.

Group of answer choices

According to Variety (Jan. 10, 2014), the average age of Broadway ticket buyers is 42.5 years. Suppose a Broadway theatre executive hypothesizes that the average age of ticket buyers to her theatre’s plays is less than 42.5 years. To test her hypothesis, she samples 200 ticket buyers to her theatre’s plays and determines the age of each. (10 pts.)

a) Describe the population.

b) Describe the variable of interest.

c) Describe the sample.

d) Describe the inference.

A lottery has a very large number of tickets, one in every 500 of which entitles the purchaser to prize. Calculate the minimum no. of tickets the agent must sell to have 95% chance of selling at least one prize winning ticket.

If the chance of being defective bottles of medicine produced by a manufacturer is 1/1000. the bottles are packed in boxes containing 500 bottles. A drug manufacturer buys 100 boxes from the producer of bottles. Find how many boxes contain i) no defectives (ii) less than 2 defectives bottle.

The probability of getting no misprint in a page of a book e^-4. What is the probability that a page contains more than 2 misprints? (State the assumptions you make in solving this problems).

A local electrical appliances shop has found from the experience that the demand of the tube lights is distributed as Poison with mean of 4 tube lights per week. If the shop keep 6 tubes during a particular week, what is the probability that the demand will exceed the supply during that week.

A random sample is drawn from a population of unknown standard deviation. Construct a 99% confidence interval for the population mean based on the information given:

a. N=49 ×=17.1 0=2.1

b. n=169 ×=17.1 0=2.1

The telephone company has the business objective of wanting to estimate the proportion of households that would purchase an additional telephone line if it were made available at a substantially reduced installation cost. Data are collected from a random sample of 500 households. The results indicate that 135 of the householdswould purchase the additional telephone line at a reduced installation cost. a. Construct a 99% confidence interval estimate for the population proportion of households that would purchase the additional telephone line. b. How would the manager in charge of promotional programs concerning residential customers use the results in (a)?