The College Board National Office recently reported that in 2011-2012, the547,038 high school juniors who took the ACT achieved a mean score of 530  with a standard deviation of 123 on the mathematics portion of the test. Assume these test scores are normally distributed. a. What is the probability that a high school junior who takes the test will score at least 610 on the mathematics portion of the test? b. What is the probability that a high school junior who takes the test will score no higher than 460 on the mathematics portion of ythe test? c. What is the probability that a high school junior who takes the test will score between 460 and 550 on the mathematics portion of the test?

Q: New York City is the most expensive city in the US for lodging. The mean hotel room rate is $204 per…

A: given datanormal distributionμ = 204σ = 55P(x>225) = ?

Q: Ryanair charges a mean base fare of $59. In addition, the airline charges for checking in at the…

A: The population standard deviation of total flight cost is known to be $25. An average $39 per…

Q: The owner of a computer repair shop has determined that their daily revenue has mean $7000 and…

A:

Q: 500 freshmen at Arundel University took part in a math comprehension test. The scores were normally…

A: Given: μ=75 and σ=7. The z-score is calculated asz=x-μσ

Q: The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal…

A: GivenMean(μ)=47750standard deviation(σ)=5680

Q: A research firm conducted a survey to determine the average amount of money consistent smokers spend…

A: We have given that,  Let X be a random variable from normal distribution with mean(μ) = 20 and…

Q: The Bureau of Labor Statistics provides compensation information on and services for various…

A:

Q: Michelle, a telemarketer makes six phone calls per hour and is able to make a sale on 30% of these…

A: The random variable X is making sales. The number of cars per hour is 6. The probability of making a…

Q: Seven students on an intramural team weigh 179 lb, 172 lb, 174 lb, 185 lb, 162 Ib, 181 Ib and 193…

A: According to the provided information, the sample weights are 179, 172, 174, 185, 162, 181, 193

Q: 500 freshmen at Arundel University took part in a math comprehension test. The scores were normally…

A: From the provided information, Population size (N) = 500 Mean (µ) = 75 Standard deviation (σ) = 7…

Q: McPhilly is conducting a study on the amount of money a customer spends on each visit to the…

A: Note:  Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the…

Q: The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the…

A: PART A SOLUTION:Step 1: Determine What is AskedWe are given that the mean score for U.S. college…

Q: According to AAA, the price of a gallon of regular, unleaded gas across gas stations in North…

A: Let X be the price of a gallon of regular, unleaded gas across gas stations in North Carolina is…

Q: The average sales price of a single-family house in the United States is $235,000. You randomly…

A: Given, Mean sales price of family in US is $2,35,000 Standard deviation is $50,000 I.e.,…

Q: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013 was 2.24…

A: Mean = 2.24 Standard deviation = 1.3 Sample size = 95

Q: A survey was given to people living in Broward County. The county randomly collected the income…

A: given data  μ = 100000 $σ = 10000 $P(90000<x<110000) = ?

Q: The Real Estate Group NY reports that the mean monthly rent for a one-bedroom apartment without a…

A: Given : Mean (μ) = 2635      (in $)Standard deviation = 499      (in $)Sample size (n) = 98

Q: 2. Fill in the blanks: A standardized variable always has a mean of O and a standard deviation of…

A: 2. A standardized variable is always has mean 0 and standard deviation of 1.

Q: After deducting grants based on need, the average cost to attend the University of Southern…

A: Given information- Population mean, μ = $25,575 Population standard deviation, σ = $7200 a) Sample…

Q: The probability that Mugdho loses an arm-wrestling match against Snigdho is 60.0%. Let’s say,…

A:

Q: preparation fees is $50.   What is the probability that the mean price for a sample of 30 H&R Block…

A: mu = 183 sigma = 50

Q: César Chávez Day is observed in the United States on March 31 each year. It celebrates the birthday…

A:

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

A:

Q: According to the Centers of Disease Control and Prevention (CDC), the aging of the U.S. population…

A: GivenAn average person makes four visits a year to doctor's offices and hospitalsλ=412        i.e.,…

Q: According to BusinessWeek, 44% of advertisers claim they have been a victim of internet click fraud.…

A: The mean is, μ=np=120×0.44=52.8 The mean is 52.8. The standard deviation is,…

Q: Suppose 36% of movie goers say comedy is their favorite genre. If a random sample of 120 movie goers…

A: Obtain the mean number of movie goers that prefer comedy. The mean number of movie goers that prefer…

Q: A researcher gathered data on five randomly selected individuals from a data set. The ages are 25,…

A: The data set of ages is25,27,20,21,29sample size(n)=5

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.