What is the probability that the mean for a sample of 36 teachers' salaries is lesser than ₱20,000?
Q: What is the probability that your score on an exam will be less than 65, if the mean on the exam is…
A: Let X be a continuous random variable of score on the exam is normally distributed with a mean of…
Q: The length of human pregnancies from conception to birth approximates a normal distribution with a…
A: Let X be length of time marks the longest 2.16 % of all pregnancies from normal distribution with…
Q: A 4 year college will accept any student ranked in the top 60% of a national exam. If the test…
A: From the given information,Mean (µ) =600Standard deviation (σ) = 100Let the test score be a x which…
Q: . What is the probability that the student will get into a college whose entrance score is 550?
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Q: CNNBC recently reported that the mean annual cost of auto insurance is $962. Assume the standard…
A: Given information: The mean annual cost of auto insurance is $962. The standard deviation is $190.…
Q: The National Health and Nutrition Examination Survey (NHANES) reported that in a recent year, the…
A:
Q: a division wide aptitude test in mathematics was conducted to 1000 students. the mean of the test is…
A: Given : No. of students : Sample size (n) = 1000 Let X : Scores in aptitude test in mathematics…
Q: The distribution of scores for the third exam in a statistics course has a mean of 74 and a standard…
A: Given Information: Mean, μ=74 Standard Deviation, σ=15 Sample Size, n=36
Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…
A: The probability value is calculate by means of standard normal variate with the random variable,…
Q: The National Health and Nutrition Examination Survey (NHANES) reported that in a recent year, the…
A: Given information Mean (µ) = 202 Standard Deviation (σ) = 42 Sample size (n) = 49 Z score is given…
Q: A normal distribution has a mean of 175 and a standard deviation of 38. What percent of observations…
A: Given that A Normal distribution has Mean (μ) = 175 Standard deviation (σ) = 38 We know that Z =…
Q: What is the probability that your score on an exam will be less than a 60, if the mean on the exam…
A: We have to find probability that your score on an exam will be less than a 60....
Q: The length of human pregnancies from conception to birth approximates a normal distribution with a…
A:
Q: The mean height of male college students in a large city is 68 inches and the standard deviation is…
A: Solution
Q: On the Gulf Freeway at 7:00 AM, the average travel time from Beltway 8 to Downtown is 29.5 minutes…
A: We have given that the random variable X i.e. travel time is normally distributed with average(mean)…
Q: The dean of a business school claims that the average monthly income of his school's Bachelor of…
A: It is given that the mean is 24,700 and the standard deviation is 4,100.
Q: If the scores follow normal distribution with a mean of 120, a standard deviation of 10, find…
A: Solution
Q: The average monthly income of public school teachers is Php25,000 with standard deviation of Php800.…
A:
Q: Find the probability of adult male residents in the U.S. whose heights are between 63 and 72 inches.…
A: Let , X→N(μ=69.0 , σ=2.8) Our aim is to find the following : Find the probability of adult male…
Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…
A: We are given,μ = 196σ = 22n = 60
Q: In a normal distribution, mean is 60 and standard deviation is 5. How many of the cases have scores…
A: The probability between two specific numbers a and b in a normal distribution with mean μ and…
Q: In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test…
A: In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test…
Q: The National Health and Nutrition Examination Survey (NHANES) reported that in a recent year, the…
A: Solution: Let X be the cholesterol level. From the given information, µ=202 and σ=42.
Q: The length of pregnancies are normally distributed with mean of 268 days and a standard deviation of…
A: Given : Length of pregnancies = X X is normally distributed Mean of X = 268 days Standard…
Q: A running back on the Spartans football team gains an average of 3.5 yards per carry with a standard…
A: Given : A running back on the Spartans football team gains an average of 3.5 yards per carry with a…
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: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…
A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…
Q: When a distribution is bell-shaped, approximately what percentage of data values fall within 1…
A: We know that, the empirical rule which is also known as 68-95-99.7 rule. The Empirical Rule finds…
Q: Suppose that blood chlorine concentration (mmol/L) has a normal distribution with mean=98 and…
A:
Q: If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean…
A: Mean = 180 Standard deviation = 44 Sample size = 25
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: A division-wide aptitude test was conducted on 10 000 pupils. the mean of the test is 58 and…
A: Given, A division-wide aptitude test was conducted on N=10 000 pupils. The test, The scores also…
Q: Assume that people playing World of Warcraft in a week has a normal distribution with a mean of 54…
A: The probability that a randomly selected person played more than 89 hours is obtained below, From…
Q: In a Normal distribution, the average is 45 and standard deviation is 12. What is the probability…
A:
Q: If a normal distribution has a mean of 10 and a standard deviation of 2, then what is the likelihood…
A:
Q: The distribution of scores for the final exam in Math class last year had a Normal distribution with…
A: Given: Mean, μ=74 Standard deviation, σ=14 Sample size, n=49 To find: P (X<77)
Q: In 2021, the CDC estimated the mean height of U.S. women aged 20 years old and over was 63.5 inches…
A: Given that:The population mean height of U.S. women: inches and The population standard deviation:…
Q: Imagine a scenario where 100 people complete a self-esteem measure. Assume the standard deviation of…
A:
Q: The average wage for bank managers in a certain city is $91,900 per hour with a standard deviation…
A: Given that X~N( μ = 91900 , ? = 24300) μ = 91900 , ? = 24300 Z-score =( x - μ )/?
Q: A survey reported that in a recent year, the mean serum cholesterol level in milligrams per…
A: Solution-: Given: μ=198,σ=43,n=110 We want to find P(the mean cholesterol level is between 193 and…
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- A distribution is known to be bell-shaped, with a mean of 82 and a standard deviation of 6. What percentage of the data should fall below 76?According to the World Health Organization (WHO) Child Growth Standards, the head circumference for girls who are two-years old has a normal probability distribution with a mean of 47.2cm and a standard deviation of 1.4cm. What is the head circumference of a two-year old girl who marks the start of the 90th percentile? Enter a number without units.In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test had a mean score of 230 with a standard deviation of 23. Assume the scores are normally distributed. Find the probability that a student had a score higher than 285.
- University students' blood pressure can be expected to follow a normal distribution with a mean of 85 mmHG and a standard deviation of 20 mmHG.If a university student is chosen at random, what is the probability that the blood pressure will range from 85 to 90 mmHG?What is the equation for The standard deviation of the distribution of sample meansThe admission committee of AUCA passes 33% of those who took the exam. If the scores follow a normal distribution with a mean of 85 and a standard deviation of 9, what is the passing score?
- The average credit card debt for college seniors is$3262. If the debit is normally distributed with a standard deviation of$1100, find the probability that the senior owes more than $4000.a normal distribution has a mean of 25 and standard deviation of 5. what score separates the lowest 30% of the distribution from the rest of the scores?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%?
- Suppose that the mean IQ score for University Students is 105, with a standard deviation of 7. Assuming a normal distribution, what are the cutoffs that will capture those people who are within one standard deviation of the mean?According to a study of TV viewing habits, the average number of hours an American over the age of 2 watches TV per week is 44. The population standard deviation is 16 hours. If a sample of 64 Americans over the age of 2 are randomly selected, what is the standard error of the mean?
