HLTH 501 WEEK 4 PROBLEMS 30 POINTS 10 ponts per problem. 1. The mean body mass index (BMI) for boys age 12 is 23.6. An investigator wants to test if the BMI is higher in 12-year-old boys living in New York City. How many boys are needed to ensure that a two-sided test of hypothesis has 80% power to detect a difference in BMI of 2 units? Assume that the standard deviation in BMI is 5.7. (21 5.29 ES 2. Alpha05 ES =

Question

I want to know if I calculated the amount of boys required to ensure a two-sided test of hypothesis has 80% power to detect a difference in BMI of 2 units? This is my question #1 of my homework. Thank you.

HLTH 501
WEEK 4 PROBLEMS 30 POINTS
10 ponts per problem.
1. The mean body mass index (BMI) for boys age 12 is 23.6. An investigator wants to test
if the BMI is higher in 12-year-old boys living in New York City. How many boys are
needed to ensure that a two-sided test of hypothesis has 80% power to detect a difference
in BMI of 2 units? Assume that the standard deviation in BMI is 5.7.
(21
5.29
ES
2.
Alpha05
ES =
Expand
Transcribed Image Text

HLTH 501 WEEK 4 PROBLEMS 30 POINTS 10 ponts per problem. 1. The mean body mass index (BMI) for boys age 12 is 23.6. An investigator wants to test if the BMI is higher in 12-year-old boys living in New York City. How many boys are needed to ensure that a two-sided test of hypothesis has 80% power to detect a difference in BMI of 2 units? Assume that the standard deviation in BMI is 5.7. (21 5.29 ES 2. Alpha05 ES =

Expert Answer

1 Rating

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: A politician recently made the claim that 47% of taxpayers from a certain region do not pay any inco...

A: The aim is to identify the null and alternative hypotheses for testing the claim.

Q: In a fishing logde brochure, the lodge advertises that 75% of its guest catch northern pike over 20 ...

A: The provided information are:

Q: Suppose that you want to do statitical significance tests for fourcorrelations and you want your EWa...

A: According to the provided information, it is required to conduct statistical tests for four correlat...

Q: A computer system uses passwords that contain exactly 6 characters, and each character is 1 of the 2...

A:  We have to make a password of 6 digits whose digits can be 26 lowercase alphabets, 26 uppercase alp...

Q: A student takes a multiple-choice test that has 20 questions. Each question has five choices. The st...

A: Binomial distribution:It is a discrete probability distribution in which each trials have exactly tw...

Q: What does it mean when two variables are described as “positively correlated”?

A: In statistical analysis to measure the relation between two bivariate data, then if the change of a ...

Q: There are six multiple-choice questions on an exam, each with three possible answers. (a) Determine ...

A: According to the given question, there are six multiple-choice questions on an exam, each with three...

Q: 3. In a survey of 209 Montana residents, 61 reported their financial status was worse than a year ag...

A: (a) Computing the point estimate of population proportion:The point estimate of population proportio...

Q: Consider a sample of 54 football games, where 28 of them were won by the home team. Use a 0.05 signi...

A: Test statistic calculation:The probability that the number of home team wins will be greater than on...

Q: Five children aged 2, 3, 5, 7 and 8 years old weigh 14, 20, 32, 42 and 44 kilograms respectively. Fi...

A: Let x be the age of children and y be the weight of children.The equation of the regression line is:

Q: How to determine Estimate the P-value.

A: Introduction:P-value: The P-value is the probability of obtaining a test statistic value as extreme ...

Q: The dose-response effect is best described as A. when similar studies produce similar results B...

A: Introduction:The dose-response effect is a measure of the magnitude of the response in the subjects ...

Q: An office has three smoke detectors. In case of fire, each detector has probability 0.9 of detecting...

A: Probability of at least one event occurring:It is given that there are three smoke detectors and eac...

Q: In a study of minimizing tractor skidding distances along a new road in a European forest, the skidd...

A: Here, the sample size (n) is 20.The mean and standard deviation of the sample data is calculated bel...

Q: Zaphod Beeblebrox has recently purchased a second-hand ballpoint pen business. In the first month, t...

A: Relative frequency:It represents the fraction of times a category occurs. The formula for relative f...

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you bel...

A: According to previous evidence, the population proportion (p) is 36%, that is, 0.36.Here, the margin...

Q: Jobs and productivity! How do retail stores rate? One way to answer this question is to examine annu...

A: Note:Hi! Thank you for posting the question. Since your question has more than 3 parts, we have solv...

Q: Use the rank correlation coefficient to test for a correlation between the two variables. Use a sign...

A: In this question we have the ranks of judges, we need to conduct the hypothesis test to identify whe...

Q: In a survey of 4061 ​adults, 738 say they have seen a ghost. Construct a​ 99% confidence interval fo...

A: In this question, it has been given that 738 people out of 4061 people have seen the ghost, we have ...

Q: the NHANES-Ill survey, the inçidence of urinary tract infections in adult women is 13,320 n per year...

A: Given incidence of urinary tract infections = 13.32%Nitride test for urinary tract infections sensit...

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98...

A: According to the empirical rule, in the standard normal curve, approximately 68% of the area is with...

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organ...

A: Let X be the random variable, defined as the oxygen demand.Here, X follows normal distribution with ...

Q: Hi. How do you calculate this Poisson Distribution in the TI-83? Thanks.

A: Let ‘Y’ be the waiting time between two busses which follows exponential distribution with mean wait...

Q: 3.) A card is selected from an ordinary deck of 52 cards. What is the probability of getting (Exampl...

A: a)Face cards are of jack, queen and king in each suit.Therefore in the suit of clubs there will be t...

Q: Let A and B be two events with P(A) = 0.71 and P(B) = 0.44. What is the largest possible value of P(...

A: In this question, we have the value of P(A) = 0.71 and P(B) = 0.44 and we have to find the maximum v...

Q: See attachment for question.

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials, s...

Q: Blank are more representative of a population, but blank are easier to obtain

A: The sample is a set of units that is obtained from a population, which represents the population. Th...

Q: A hospital administrator claims that the proportion of knee surgeries that are successful is 87%. To...

A: The provided information are:Sample size (n) = 450Hypothesised proportion (po)=0.87From the provided...

Q: Question attached. Can the proof be shown by contradiction?  Any help would be appreciated.

A: You've guessed correctly. This can be proved by contradiction as you'll see in the ensuing steps.

Q: If a chicken and a half lays an egg and a half in a day and a half how many eggs can 30 chickens lay...

A: It is given that a chicken and a half lays an egg and a half, in a day and half.That is, 1.5 chicken...

Q: A researcher wants to investigate whether mindfulness training improves ability for employees to not...

A: According to the provided information, if there is a main effect of disposition, then there is an ef...

Q: Suppose x has a normal distribution with mean μ = 28 and standard deviation σ = 7.Describe the distr...

A: Note:Hi there! Thank you for posting the question. Your question asks about the “distribution of x v...

Q: Workers at a large toxic cleanup project are concerned that their white blood cell counts may have b...

A: Let the random variable X be the white blood cell count per cubic millimetre of whole blood in a hea...

Q: Please answer the attached picture. Thanks,

A: Г(1,Ɵ) represents a gamma distribution X~ Г(α,λ) where α is the shape parameter and λ is the scale p...

Q: Assume that a populatio of thousands of people whose responses were used to develop the anxiety test...

A: Hey, since there multiple subparts posted, we will answer first three subparts. If you want any spec...

Q: The national average for the number of students per teacher for all U.S. public schools in 15.9 Aran...

A: Confidence interval:The (1-α) % confidence interval for population mean µ, when σ is unknown is give...

Q: directions construct a confidence interval of the population proportion at the given level of confid...

A: Confidence interval:It is given that n = 500 and x = 120.The (1−α)% confidence interval for proporti...

Q: Find the critical value and rejection region for the type of​ t-test with level of significance α an...

A: Note:Hey! Thank you for posting the question. Since you have not mentioned the purpose for which the...

Q: In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6...

A: The provided details:

Q: In baseball, is there a linear correlation between batting average and home run percentage? Let x re...

A: In this question we have the given data and using which we have to plot the scatter plot, and best l...

Q: Question b

A: B)The variables whose level are set by the experimenter is called as the factor of an experiment. It...

Q: Phil Dunphy, a real estate agent, is considering whether he should list an unusual $345,507 house fo...

A: Profit received by the agent if he sells the house = (Commission received – amount spent on advertis...

Q: The Toylot company makes an electric train with a motor that it claims will draw an average of only ...

A: The provided information are:

Q: (c) Explain why four students coming in late would not necessarily form a random sample. (Select all...

A: (c)A random sample represents the whole population properly.It can happen that some students will be...

Q: Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of who...

A: (A)The sample mean and standard deviation is calculated below:

Q: (a) In the random number table, assign the digits 0 through 8 to the event "successful surgery" and ...

A: Total number of digits assigned to event "successful surgery" (0-8) = 9Total number of digits assign...

Q: Use one of the following key terms to answer each of the following questions. KEY TERM BANK (separa...

A: Solution:Definition of Univariate data:When the data contains only one variable, it is called univar...

Q: According to a random sample taken at 12 A.M., body temperatures of healthy adults have a bell-shape...

A: Chebyshev’s inequality:Chebyshev’s rule is appropriate for any distribution. That is, Chebyshev’s in...

Q: Linear Programming Problem A manufacturer of three models of tote bag must determine the production ...

A: This can be solved using Solver tool in Excel. Go to Data tab in Excel and check if you see Solver u...

Q: You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, ...

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...