A published study says that 95 percent of American children are vaccinated against measles, with a standard deviation of 1.5 percent. You draw a sample of 100 children from your community and check their vaccination records, to see if the vaccination rate in your community is the same as the national average. What distribution will you use for this test, and why?

Q: A pharmaceutical company claims that a drug is effective in treating 90% of people having severe…

A: Given that,The random variable follows binomial distribution,n=6p=90%=0.9,q=1-p, q= 0.1

Q: The year Martina graduated college, she got a job as an entry-level software engineer working for a…

A: GivenMean(μ)=57000standard deviation(σ)=3700starting salary (x)=65000

Q: If the variance of the recorded weights of nine basketball players is 2.36, what is the value of the…

A:

Q: To be accepted into an honor society, a student must have a grade-point average (GPA) in the top 10%…

A: It is given that, to be accepted into an honor society, a student must have a grade-point average…

Q: If the average mid twenties male weighs 169lbs. and a weight of 150 is in the 31st. percentile, what…

A: We are given,Mean = μ = 169X = 150Percentile = 31st

Q: The year Ali graduated college, he got a job as an entry-level software engineer working for a firm…

A: Solution

Q: If the number of degrees of freedom for a chi-square distribution is 21, what is the population mean…

A: Given: Degree of freedom = 21

Q: Doug has 1,000 bottle caps in his collection compared to Melissa's 2000 bottle caps. If the average…

A: Given,mean(μ)=1250standard deviation(σ)=500Doug bottle cap collection(X)=1000Melissa's bottle cap…

Q: If the variance of a distribution is 16, the standard deviation is?

A: Solution: From the given information, the variance of a distribution is 16.

Q: Mary Bartel, an auditor for a large credit card company, knows that, on average, the monthly balance…

A: The standard deviation is 56. Mary audits 50 accounts. That is n=50

Q: Recently, a random sample of 25–34 year olds was asked, "How much do you currently have in savings,…

A: From the different savings class we need to find first the class mid point(xi) . And the frequency…

Q: In a medical study, a researcher wishes to select respondents in the middle of 45% of the population…

A: Given, In a medical study, a researcher wishes to select respondents in the middle of 45% of the…

Q: In a recent study of 35 Grade5 students, the mean number of hours per week that they played video…

A: We know that,  Sample size (n) = 35, sample mean (x̄) = 16.6 and population standard deviation (σ) =…

Q: If the standard deviation of sample A  is 5 and the standard deviation of sample B  is 12, what is…

A:

Q: If the mean exam score of a class was 75%, with a standard deviation of 15%,what percent of students…

A: Given,mean(μ)=0.75standard deviation(σ)=0.15

Q: In a recent poll, the Gallup organization found that 45% of adult Americans believe that the overall…

A: Binomial distribution:A random variable Y denoting the number of successes in n trials for…

Q: A recent Gallop Poll indicates that 80 % of voting age adults disapprove of Congress. If 700 voting…

A: Let p be the probability that a voting age adult disapproves of Congress. Given that p = 0.80 Let X…

Q: A study of the Physics and Astronomy department has found that 95% of the graduate students drink…

A: Explanation:Here given the two means and find out the standard deviation of the sample follows the…

Q: The book Investments by Zvi Bodie, Alex Kane, and Alan Marcus claims that the returns for investment…

A: 1] Standard deviation for the first portfolio=0.55 2] Standard deviation for the second…

Q: The year Deon graduated college, he got a job as an entry-level software engineer working for a firm…

A:

Q: If you have a population standard deviation of 10 and a sample size of 4, what is your standard…

A: Given,population standard deviation(σ)=10sample size(n)=4

Q: Adult Golden Retrievers have a mean weight of 64 pounds with a standard deviation of 8 pounds. If…

A: In this scenario, it is known that the  mean weight is 64 pounds with a corresponding standard…

Q: The golf scores for a school team were normally distributed with a mean of 68 and a standard…

A: Let X be the golf scores. It is given that X is normally distributed with mean 68 and standard…

Q: What is the difference between what the z score measures and what the standard deviation measure?

A: z score is standard score and the formula for finding z score is,

Q: Why is pooled standard deviation a better estimate of σ than the standard deviation from any other…

A:

Q: For a recent "Smartest State in America" article, a journalist wants to know how many people with a…

A: The mean is 5,000,000 and the standard deviation is 450,000.

Q: The mean score on the SAT in 2017 was 1060, and the standard deviation was 195. Assume the scores…

A: Given,  Mean μ=1060  Standard deviation σ=195Let x be score of a randomly selected person

Q: If research samples 28 college students and wants to compare the sample mean of 8 to the population…

A: From the provided information, Sample size (n) = 28 Sample mean (x̄) = 8 Population mean (µ) = 12…

Q: For a distribution with a mean of 70, if the distribution had a standard deviation of 4, would a…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: The typical college freshman spends an average of ?=150minutes per day, with a standard deviation of…

A: Solution: Let X be the time on social media. From the given information, X follows normal…

Q: The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70,…

A: We have given that,  Let X be the random variable from binomial distribution with probability (p) =…

Q: If the standard error,  of a sample data set is 5 and the standard deviation,  of the distribution…

A: For a population with mean µ  and standard deviation σ, the standard error is σx̅ = σ/√n, where x̅…

Q: The standard deviation of the sample mean is less than the standard deviation of the population.…

A:

Q: In a recent survey, 80% of the community favored building a police substation in their neighborhood.…

A:

Q: A recent study found that 69% of all adults over 50 wear sunglasses for driving. In a random sample…

A: Formula : Mean = np Standard Deviation  :

Q: Recently, a random sample of 25–34 year olds was​ asked, "How much do you currently have in​…

A: Class Interval Frequency(f) Midpoint (x) f.x fx2 0-199 342 (0+199)/2= 99.5 34029 3385885.5…

Q: A chemical engineer claims that the average daily yield of a chemical manufactured in a chemical…

A: Introduction:The null hypothesis is defined as a statistical hypothetical statement which is…

Q: Describe  the scores in a sample  that has a standard  deviation of zero

A: If the standard deviation is zero there will be no dispersion of scores from the Mean. It means that…

Q: In a standardized exam the mean score is 400 with a standard deviation of 50. If a random sample of…

A: Given that  μ= 400 , σ= 50 , n = 25

Q: According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the…

A: Given X is normal Distributed with mean µ = 65.0 and standard deviation σ = 3.0 Need to find Z score…

Q: claims that Chip Ahoy Cookies have an x ̅=28.67 per cookie with a SD=2.67. Assuming this information…

A: Given data,Mean x=28.67sd    =2.67  what is the population parameter for the standard deviation?

Q: according to police sources, a car with a certain protection system will be recovered 90% of the…

A: Given problem is a binomial distribution with:

Q: A company selling a new MP3 player advertises that the player has a mean lifetime of 5 years. If you…

A:

Q: It has been reported that the average credit card debt for college seniors at the college  book…

A: Given Information :  It has been reported that the average credit card debt for college seniors at…

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 71…

A:

Q: In a multiple-choice examination in Chemistry, students Mikasa and Jean received scores of 82 and…

A: Given problem Given that   In a multiple-choice examination in Chemistry, students Mikasa and Jean…

Q: Find the standard deviation for this data set. if a one goal hockey game was added to this data set,…

A: From the plot representing the number of goals scored per game, there are three games in which three…

Q: A recent newspaper article reported the results of a survey of well-educated suburban parents. The…

A: Given that 2-year-old children watching an average of 60 minutes of television each day watching an…

Q: According to a study of TV viewing habits, the average number of hours an American over the age of 2…

A: Given data,Standard deviation is σ=16If n=64 standard error of the mean(σx)=?

Q: In a study of Ridge View's boys' basketball team, the average height is 68 inches and standard…

A: Given that, In a study of Ridge view's boys' basketball team, the average height is 68 inches and…

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.