According to the National Institute of Health, about 37% of high school seniors have vaped in the past year. Suppose that a survey contacts an SRS of 400 high school seniors and calculates the sample proportion, p hat, in this sample who have vaped in the past year. ** When I say p hat, I mean this symbol 1. What is the mean of the sampling distribution of p hat? 2.Find the standard deviation of the sampling distribution of p hat. Round to the nearest thousandth. 3.What is the probability, in an SRS of 400 high school seniors, that between 35% and 40% of them have vaped in the past year?

Q: A professor of statistics noticed that the marks in his course are normally distributed. He has also…

A: μ1=0.78, σ1=0.15μ2=0.74, σ2=0.13

Q: Joan’s finishing time for the Bolder Boulder 10K race was 1.76 standard deviations faster than the…

A: Given   x=μ+1.76 σ   ∴z=1.76 ∵1.76 SD  above mean       n=420 women

Q: In New York State, the population of teachers is known to have an average of 12.2 years of classroom…

A:

Q: Suppose that the distribution of touchdowns (in football) is normally distributed with a mean of 250…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: The math department at a university gives all of the students in a certain math class the same final…

A: Let  denote the student score receive in the final exam.The random variable  follows a normal…

Q: Jeff is doing an experiment involving mice. The mice weights have mean weight 3.68 ounces and…

A:

Q: Joan’s finishing time for the bolder boulder 10k race was 1.85 standard deviations faster than the…

A:

Q: Suppose the life span of a brand of lightbulbs is normally distributed with a mean of 2000 hours and…

A: It is given that  Mean, μ = 2000 Standard deviation, σ = 320 Z-Score, Z = ( X - μ )/σ

Q: The sample standard deviation is one measure that describes the value in the sample that the data…

A: A single number that seeks to represent a set of data by identifying the center position within that…

Q: The standard deviation of the number of words in a sentence by students is 3 words. It is believed…

A:

Q: Suppose​ 18% of​ movie-goers say that horror is their favorite movie genre. If a random sample of…

A: Obtain the mean number of movie-goers that prefer horror movie genre. The mean number of movie-goers…

Q: The Queen decided to change the distribution of wealth in Arecima. With the help of the royal…

A: Given Information: The mean was increased from 100 to 120. The standard deviation was reduced from…

Q: Phyllis, a college business student wants to study how many students in her class study for less…

A: The central limit theorem states that the distribution of the sample mean is approximately normal…

Q: Find the mean and standard deviation of the indicated sampling distribution of sample means. Then…

A: Given Information: The annual salary for one particular occupation is normally​ distributed, with a…

Q: Suppose the prevalence of type II diabetes in a community is 36%. Researchers want to sample 16…

A:

Q: Assume that body temperatures of healthy adults are normally distributed with a mean of 98.2 and a…

A: From the given information X follows normal distribution with mean µ = 98.2 standard deviation σ =…

Q: Suppose that Sacramento workers have a mean commute of 17 minutes and commute times are normally…

A:

Q: Almost all medical schools require applicants to take the Medical College Admission Test (MCAT).  To…

A: It is given that the mean is 25 and the standard deviation is 6.5.

Q: An economist would like to estimate the mean amount of money that a family spends to within $45. If…

A: GivenMargin of Error(E)-45standard deviation(σ)=190α=1-0.93=0.07α2=0.035zα2=1.8119      (from z…

Q: Suppose you know that the distribution of sample proportions of nonresidents in samples of 200…

A: Let p^ denotes the sample proportion which follows normal distribution with mean 0.46 and standard…

Q: According to the American Red Cross, 11.6% of all Connecticut residents have Type B blood. A random…

A: The question is about discrete probability distributionGiven :Probability of all CT residents have…

Q: For a standardized exam at your school, the mean score is 103 with a standard deviation of 16. You…

A: Population mean Hypothesized value of population standard deviation Sample size Sample mean Sample…

Q: Suppose that we will randomly select a sample of 64 measurements from a population having a mean…

A: From the provided information, Mean (µ) = 20 Standard deviation (σ) = 4 X~N (20, 4)

Q: Assume that the heights of American men are normally distributed with a mean of 69.1 inches and a…

A: From the given information we find the solution

Q: What is the equation for The standard deviation of the distribution of sample proportions

A: Let p be the population proportion of successes.

Q: due to the increasing price of apartments each year, houston chronicle reported that rent of 1 bed 1…

A: Given that  μ=1200σ=500n=20 Consider, the probability that the price is more than 1100 is,…

Q: The standard deviation of the lengths of stays on international cruises is 7.3 days. The sampling…

A: The standard deviation of the lengths of stays on international cruises is 7.3 days Total Sample =70…

Q: Find the mean variance and standard deviation for the number of heads when 10 coins are tossed.

A: When a coin is tossed it can it can land either head or tail. Therefore, the number of outcomes is…

Q: The director of research and development is testing a new medicine. She wants to know if there is…

A: Assume that μ is the true average time the medicine relives pain.

Q: In a large section of a statistics class, the points for the final exam are normally distributed,…

A:

Q: Almost all medical schools require applicants to take the Medical College Admission Test (MCAT).  To…

A: It is given that the mean is 25 and the standard deviation is 6.5.

Q: In a bell-shaped distribution, 95 % of the data falls within 1 standard deviation of the mean.

A: Given that In a bell-shaped distribution, 95 % of the data falls within 1 standard deviation of the…

Q: The latest available data showed health care spending were $8086 per person in the United States…

A: Givenpopulation mean = $8086population standard deviation = $2500sample size = 100Health care…

Q: A community college Math instructor feels that the average age of community college students…

A:

Q: Entry to a certain University is determined by a national test. The scores on this test are normally…

A:

Q: The mean weekly earnings of all female workers in a state is $710 and the mean weekly earnings of…

A: Given The mean weekly earnings of all female workers in a state is $710 and the mean weekly earnings…

Q: The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6…

A: White:Sample size Sample mean Sample standard deviation Non-whites:Sample size Sample mean Sample…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.