Confidence interval for the mean score of all bowlers

Assignment Help Basic Statistics
Reference no: EM131062656

Confidence Intervals and Sample Size-

1. A study of 40 bowlers showed that their average score was 186. The standard deviation of the population is 6.

(a) Construct a 95% confidence interval for the mean score of all bowlers.

(b) Construct a 95% confidence interval for the mean score of all bowlers if a sample of size 100 is used instead of 40.

(c) Explain why one confidence interval is larger than the other.

2. A health care professional wishes to estimate the birth weights of infants. How large a sample must she select if she desires to be 90% confident that the true mean is within 6 ounces of the sample mean? The standard deviation is estimated to be 8 ounces.

3. A random sample of 78 students were interviewed and 59 said they would vote for Jennifer McNamara as student body president. Let p represent the proportion of all students who will vote for Jennifer. Find a 90% confidence interval for p.

4. As part of an Environmental Studies class project students measured the circumference of a random sample of 45 Blue Spruce trees near Brainard Lake, Colorado. The sample mean circumference was 29.8 inches. Assume that σ is known to be 7.2 inches. Find a 95% confidence interval for the population mean circumference of all Blue Spruce trees near this lake.

5. A random sample of 56 credit card holders showed that 41 regularly paid their credit card bills on time. Find a 95% confidence interval for the proportion of all people who regularly paid their credit card bill on time.

6. A researcher wants to know what percentage of males athletes wear contact lenses during performances. Let p represent the proportion of males athletes who wear contact lenses. If there is no preliminary estimate for p, how many male athletes should be included in a random sample to be 90% sure that a point estimate for p will be within a distance of 0.05 from p.

7. A sample of 25 novels has a standard deviation of 9 pages. Find the 95% confidence interval of the population standard deviation.

Reference no: EM131062656

Questions Cloud

Glass ceiling exists today for women : Do you believe the glass ceiling exists today for women? Give me some examples. Go to the internet and find data or anecdotal stories there with regard to the glass ceiling.
What security concerns are associated with the thumb drive : What security concerns are associated with the thumb drive - How could information security policies or information security plans help the cafe in this type of situation?
Role of social media influence : Discuss the role of social media's influence (Twitter, Facebook, and YouTube) in activism and revolution on the world stage.
Represent a minority group in the military : Women represent a minority group in the military. Men are in the minority as nurses and paralegals.
Confidence interval for the mean score of all bowlers : A study of 40 bowlers showed that their average score was 186. The standard deviation of the population is 6.  Construct a 95% confidence interval for the mean score of all bowlers
Discuss hypotheses-data collection methods : In addition, discuss hypotheses, data collection methods, data analysis methods, and the role of variables in your PowerPoint presentation.
Concepts of class-poverty-ethnicity : Analyse the statement, ' Mental illness is a social problem' . To examine this question draw on one or two of the concepts of class, poverty, ethnicity, gender or race.
What do think should be criteria for labeling product green : Because "being green" has become so popular, some organizations reference their green initiatives in their marketing materials to give the impression that their policies or products are environmentally friendly when, really, they are simply follow..
Identify a specific international company : Evaluate these issues and determine how they affect our business - Identify and analyze three causes for its globalization

Reviews

Write a Review

Basic Statistics Questions & Answers

  X and y are independent both x and y have an exponential

x and y are independent. both x and y have an exponential distribution. if x had mean 3 and y had mean -2a find the

  What is an independent sample

What is an independent sample? What is a related sample? When should researchers use different hypothesis tests for independent and related samples?

  Western electric-sensitizing rules for control chart violate

It's your first day at the Jedi Temple, working as a lightsaber manufacturer. Your first task on the job is to analyze the control and capability of this process. Your main concern is to see if the lightsabers fit within the required length specif..

  Let x be a random variable with distribution function fxx

let x be a random variable with distribution function fxx and ab in real. let y be the random variable that satisfies

  A person has 8 friends but can only invite 5 to their

a person has 8 friends but can only invite 5 to their birthday party. how many ways can she invite 5 friends if two of

  A machine cuts circular filters from large rolls of material

A machine cuts circular filters from large rolls of material. If 7.3% of the filters fail to meet specifications, use the normal approximation to the binomial to compute the probability that a sample of 100 of the filters will contain 5 or fewer that..

  A u s citizen 15 years of age or older is selected at

as reported by the u. s. census bureau in americas families and living arrangements the living arrangements by age of

  Solve an algebraic equation

Suppose you are at a gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: C(g) = 3.03 (g)

  The distribution ages for students at the state college is

the distribution ages for students at the state college is positively skewed with a mean of 21.5 and a standard

  Out of a sample of 94 purchases at the drive-up window of a

out of a sample of 94 purchases at the drive-up window of a fast-food establishment 27 were made with a major credit

  A research study has stated that the taxes paid by

a research study has stated that the taxes paid by individuals is correlated at a .78 value with the age of the

  Compute the standard error of the mean

Find the standard error of the mean when the population standard deviation is 4.1 and a sample of size 30 is taken.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd