The length of time that the SAT takes to complete follows some unknown distribution with mean 2.5 hours and a standard deviation of 0.25 hours. A sample size of 60 times is taken randomly from this population. What is the probability that a sample mean is between 2 and 3 hours?
Q: A random sample of 25 observations yield a mean of 116 and a standard deviation of 12. What is the…
A: Given data,Mean μ=116sd σ=12P(X>1150)=?
Q: a typical adult has an average IQ score of 105 with a standard deviation of 20. If 19 randomly…
A:
Q: Suppose that NBA players average 34.4 points per game with a standard deviation of 8.65. A random…
A: GivenMean(μ)=34.4standard deviation(σ)=8.65sample size(n)=138
Q: A sample of 235 students was taken for an exploratory study. Each member of a random 35 of these…
A: Since the sample size is sufficiently large, and the population standard deviation is known, the…
Q: The scores in a cricket tournament are normally dostributed with mean 211 runs and standard…
A: From the provided information, Mean (µ) = 211 Standard deviation (σ) = 34 X~N (211, 34)
Q: 9. If X, Y have some bivariate density, prove that Var(X – Y) = Var(X)+Var(Y) – 2Cov(X,Y).
A: We have given that X and Y are random variables having some bivariate density.
Q: The monthly household income of a certain district in Manila is a normally distributed random…
A:
Q: The average score on the SAT is 1020, with a standard deviation of 180. If you take a random sample…
A: We have given that Mean(µ) = 1020 Standard deviation(σ) = 180 Sample size (n) = 50
Q: Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What…
A:
Q: A researcher wishes to estimate the average height of men for a certain region of the country. If…
A: Probability is the measure determine the likelihood of an event. Event is the outcome of an…
Q: Suppose math scores on the SAT are normally distributed with a mean of 500 and a standard deviation…
A:
Q: An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute).…
A: Let X denotes the printing speed of printer Population mean =17.57 Standard deviation =3…
Q: The mean time spent solving this problem is 4.25 minutes with a standard deviation of 1.7 minutes.…
A: Given Information: Population mean (u) = 4.25 Standard deviation (s) = 1.7 Sample size (n) = 32…
Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…
A: Given,sample size(n)=33mean(μ)=5.97standard deviation(σ)=0.1
Q: The average math SAT score is 513 with a standard deviation of 119. A random sample of 60 students…
A:
Q: There is a large supply of light bulbs with the average life of 900 hours and the standard deviation…
A: It is given that the mean is 900 hours and the standard deviation is 60 hours.
Q: Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What…
A: GIVEN DATA, IQ scores are normally distributed μ =100σ=15 n=150probability a random sample of 150…
Q: A particular fruit's weights are normally distributed, with a mean of 610 grams and a standard…
A: Assume that random variable X denotes a particular fruit's weight and follows normal distribution…
Q: The record of 35 randomly selected participants of a marathon was selected. The mean time it takes…
A:
Q: About 78% of all female heart transplant patients will survive for at least 3 years. Ninety…
A: From the given information, the sample size is 90 and the proportion is 78%. The mean of the sample…
Q: A leading magazine reported at one time that the average number of weeks an individual is unemployed…
A: We have given that X~N(mu,sigma ^2) mu=29 ,sigma =3.5 Z-socre =(x-mu)/sigma
Q: Full-time college students report spending a mean of 29 hours per week on academic activities,…
A: From the provided information, Mean (µ) = 29 hours Standard deviation (σ) = 4 X~N (29, 4) Here X be…
Q: Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What…
A: Given that : Mean =100 Standard Deviation =15 We have to find the probability a random person has an…
Q: The Wechsler IQ test is normally distributed with mean 100 points and standard deviation 15 points.…
A: Solution let Xdenote Wechsler IQ test is normally distributed with mean 100 points and standard…
Q: Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a…
A:
Q: The annual salary for an emergency room nurse is a normally distributed random variable with a mean…
A: Mean()=80000standard deviation()=12000sample size(n)=36
Q: A population has mean of 150 and standard deviation of 20. What is the probability that a random…
A:
Q: the average score on s math test is 75 with a standard deviation of 8. What is the probability that…
A: The Z-score for the random variable X equals 90 is obtained below as follows: The Z-score for the…
Q: A random sample of 25 observations yield a mean of 106 and a standard deviation of 12. What is the…
A: It is given that mean and standard deviation are106 and 12, respectively.By using central limit…
Q: The mean amount purchased by each customer on non-medical mask at Chopper Drug Mart is 23 dollars…
A: From given,Mean = μ = 23Standard deviation = σ = 5Sample size = n = 50We have to find the…
Q: Frito Lay did a study on the weights of their bags of corn chips. It was found that the weight is…
A:
Q: The annual salary for an emergency room nurse is a normally distributed random variable with a mean…
A: Suppose the random variable x defines the annual salary for an emergency room nurse.
Q: Scores on a Registered Nurse (RN) aptitude exam are normally distributed with a mean of 72 and a…
A: Given,Population mean(μ)=72Population standard deviation(σ)=8
Q: A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly…
A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…
Q: The average MATH SAT score is 513 with a standard deviation of 119. random sample of 60 students…
A:
Q: The average amount of sleep students get a night is normally distributed with a mean of 6.5 hours…
A: Normal distribution is also known as the Gaussian distribution . It is widely used in statistics .
Q: of 11 printers. Part i) Suppose the number of printers drawn is quadrupled. How will the standard…
A: Given: the printing speed is a Normal random variable with a mean of 17.57 ppm and a standard…
Q: Imagine a scenario where 100 people complete a self-esteem measure. Assume the standard deviation of…
A:
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- The amount of money that college students spend on food each week during the academic year is normally distributed with a mean of $31.28 and a standard deviation of $11.42 What is the probability that one randomly selected student will spend less than $25 per week on food? If you randomly select 10 students, what is the probability that their mean will be less than $25?Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?When Freshman 15 The term "Freshman 15" refers to the claim that college students typically gain 15 lb during their freshman year at college. Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of 2.6 lb and a standard deviation of 10.8 1b (based on Data Set 13 "Freshman 15"). Find the probability that a randomly selected male college student gains 15 lb or more during his freshman year. What does the result suggest about the claim of the "Freshman 15"?
- Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is less than 90 mm?Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is greater than 82 mm?10. Refer to the data below. The lower quartile is The scores of 15 students are given: 74, 73, 80, 74, 77, 79, 82, 82, 79, 79, 87, 81, 72, 83, 86. O A. 72 О в. 74 С. 79 O D. 86
- The sizes of houses in Kenton County are normally distributed with a mean of 1369 square feet with a standard deviation of 171 square feet. For a randomly selected house in Kenton County, what is the probability the house size is under 1615 sq. ft. (round z to 2 decimal places & probability to 4 decimal places)? z = probability =Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is less than 84 mm?Given the following table summarizing the responses of 270 people to the question ‘which evening news program do you watch most often’: If one of these individuals is selected at random, what is the probability that the person watches: - a station other than CBS, given that they are a woman -NBC or CBS, given that the individual is a man
- About 79% of all female heart transplant patients will survive for at least 3 years. Seventy female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 75%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to pqn.Suppose our random variable is the braking distance of a certain car in feet on a dry surface when going 55mph. The mean braking distance is 148 feet and the standard deviation is 2.64 feet. We randomly sample 33 braking distances from this population, what is the probability that the mean braking distance for the sample is between 147.6 feet and 150 feet?Most graduate of Senior High Schools are taking up Batangas State University College Entrance Exam. Scores on the entrance exam are roughly normally distributed with a mean of 527 and a standard deviation of 112. What is the probability of an individual scoring above 500 on the entrance exam? how high must an individual score on the entrance exam in order to score in the highest 5%?