A sample of 3000 observations has a mean of 80 and a standard deviation of 10. The distribution is bell-shaped. Using the empirical rule, find what percentage of the observations fall in the intervals x+ 1s, x + 2s, and + 3s. Enter the exact answers. Approximately % of the observations fall in the interval x+ 1s. Approximately % of the observations fall in the interval x+ 2s.

Q: The mean age of hikers on a trail is 24.5 years with a standard deviation of 2.4 years. If the ages…

A: Given data, μ=24.5σ=2.4P(X<22)=?

Q: The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15…

A:

Q: For an educational study, a volunteer must place in the middle 50% on a test. If the mean for the…

A:

Q: The mean of a set of data is 108.06 and its standard deviation is 115.45 What is the z score for a…

A: Z-score = 3.3045 answer.

Q: The average battery life of the Apple Iphone XR is 600 minutes.  The standard deviation is 30…

A: Given : mean = μ = 600 Standard deviation = σ = 30

Q: A data set has a mean of 300 and a standard deviation of 40. What value would have a z-score of z =…

A: z-score of z = - 2 is -7.55 Reason: z-score of z = - 2=-2-meanstandard deviation=-2-30040=-7.55

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

A: Introduction: The fashionable regular distribution, additionally called the z-distribution, is a…

Q: A sample of 3000 persons were surveyed for their weight in pounds, the mean weight is 135 lbs with a…

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

Q: The scores on a mathematics exam have a mean of 71and a standard deviation of 8. Find the x-value…

A: Let X denote the scores on a mathematics exam and it follows normal distribution with mean of…

Q: A population of 2 liter bottles of cola is known to have a mean fill-weight of 2.06 liters and a…

A: Mean = 2.06 Standard Deviation = 0.02 Shape : Bell-Shaped Hence, we will use empirical rule:

Q: A group of data has a mean of 65 with a standard deviation of 5. What z-score is possible if the…

A: According to the provided information,

Q: The mean and standard deviation of a population are 555 and 40, respectively. a. For a sample size…

A:

Q: After surveying 625 potential voters polled, you find out that 325 support candidate X and 300…

A: Given information: A total sample of 625 potential voters. 325 out of 625 support candidate X. 300…

Q: The scores on a​ driver's test are normally distributed with a mean of 100.   Find the score that is…

A:

Q: The mean life of a battery is 55 hours with a standard deviation of 6 hours. The manufacturer…

A:

Q: Annabelle earned a score of 410 on Exam A that had a mean of 450 and a standard deviation of 40. She…

A: Here we need to find the score for exam B such that it is equivalent to the score of exam A. Inorder…

Q: a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 34 beats per…

A:

Q: Claire earned a score of 96 on Exam A that had a mean of 100 and a standard deviation of 10. She is…

A: Here Claire scores 96 for exam A. We need to find the mark equivalent to exam A for exam B. Given…

Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 30.…

A: ∗Mean μ=190    standard  deviation σ=30    X~N 190,30 we need to find,   PX<130+PX>250=P…

Q: A student scores 80 in math which has a mean of 70 and standard deviation of 10. He also scores 85…

A: GivenStudent scores 80 in math with Mean(μ)=70standard deviation(σ)=10student scores 85 in english…

Q: The standard deviation of the scores on a skill evaluation test is 290 points with a mean of 1286…

A: We have to find given Probability.

Q: In a Science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A: Solution: Let X be the score. From the given information, X follows normal distribution with mean…

Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 20.…

A: Given information Mean µ = 190 Standard deviation σ = 20

Q: Layla earned a score of 140 on Exam A that had a mean of 200 and a standard deviation of 50. She is…

A: Given :  Score on exam A = X = 140  mean of X =  200  standard deviation of X =  50. Score on exam B…

Q: The mean price of the fish in a pet shop is $2.93, and the standard deviation of the price is $0.59.…

A:

Q: t is known that the average time required to complete a test exam is 80 minutes and the standard…

A: Given Information: Mean μ=80 min Standard deviation σ=10 min. To find how many minutes should the…

Q: The lengths of metal bolts are normally distributed with mean μ cm and standard deviation 7 cm. If…

A: Let X be the random variable from normal distribution with mean μ and standard deviation (σ) = 2.5…

Q: A manufacturing company wants to know if the product waste that they produce complies with the…

A: Given information Sample mean x̅ = 188 kg Population mean µ = 200 kg Sample size = 30 Standard…

Q: How many of the people surveyed will have a weight between 130 and 140lbs?

A: Here the mean weight is 135 lbs with a standard deviation of 5 lbs.   Use normal distribution for…

Q: If the true mean is 9590 with the standard deviation of 0.0080 within what interval will 98% of…

A: Given that , True mean = 9590 Standard Deviation = 0.0080

Q: Elijah earned a score of 228 on Exam A that had a mean of 200 and a standard deviation of 40. He is…

A: We have to find score required in exam b.

Q: A distribution of exam scores has a mean of μ = 78. a. If your score is X = 70, which standard…

A: Given: μ=78 More the z score, better grades obtained from the standard deviation. a. The z score  is…

Q: Suppose the weekly rent of international students in Sydney is normally distributed with a mean of…

A: Assume,  X be the random variable which represents the amount of weekly rent in dollars. μ be the…

Q: Brooklyn earned a score of 850 on Exam A that had a mean of 550 and a standard deviation of 100. She…

A: Here we are to assume that scores on each exam are normally distributed.   For exam A, Brooklyn…

Q: Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is…

A: First find the standardised Z score and the make equivalency

Q: A medical statistician wants to estimate the average weight loss of people who are on a new diet…

A:

Q: me that the heights of women are normally distributed with a mean of 62.9 inches and a standard…

A: To calculate the 75th percentile of a normal distribution, we used the formula as: X=μ+Zσ Where 'X'…

Q: A population has µ = 50. Which value of σ would make X = 55 an extreme value out in the tail of the…

A: Given µ = 50 X = 55

Q: In a population distribution a score of x equals 28 corresponds to z equals -1.00 and a score of x -…

A: Given From the given information A score of X=28 Corresponds to z= -1 and a score of X=34…

Q: find the standard deviation for: 25% of students who took an examination scored more than 73 in an…

A: The standard deviation for 25% of students who took an examination scored more than 73 in an…

Q: A certain tennis player makes a successful serve 80% of the time. Suppose the tennis player serves…

A: Given that p=probability of success=p=80%=0.80 So, q=1-p=1-0.80=0.20 n=number of serves= 70

Q: Jeremiah earned a score of 530 on Exam A that had a mean of 450 and a standard deviation of 40. He…

A:

Q: The data in a data set are normally distributed with a mean of 150 and a standard deviation of 30.…

A: In this problem, we are going to using The empirical rule(68-95-99.7 Rule)

Q: Solve step by step in digital format Suppose that the average income of the engineers hired at…

A: Given: μ = 17000 σ = 3000   Formula Used: Z-score = X-μσ

Q: A report in USA today (July 7, 1995) stated that the average age of commercial jets in the U.S. is…

A: Let μ denotes the average age of commercial jets in the U.S. A report in USA today (July 7, 1995)…

Q: A distribution of exam scores has a mean of μ= 80. If your score is X = 72, which  standard…

A:

Q: In a recent​ year, the mean test score was 1539 1539 and the standard deviation was 310 310. The…

A: Given:

Q: A doctor in the oncology department of a hospital surveyed the breathing rate of cancer patients.…

A:

Q: • The mean weight of 500 male students in a certain college is 151 lb. and the standard deviation is…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.