Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 47 minutes and standard deviation 17 minutes. A researcher observed 49 students who entered the library to study. Round all answers to 4 decimal places where possible.   1.If one randomly selected student is timed, find the probability that this student's time will be between 45 and 49 minutes 2.For the 49 students, find the probability that their average time studying is between 45 and 49 minutes. 3.The top 10% of the total study time for groups of 49 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker?    minutes

Q: Solve step by step in digital format 10.- The results obtained in an exam given to 500 students are…

A: Given  data normal distrributionμ = 40σ = 10P(30<x<60) = ?

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 100 and standard…

A:

Q: he distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4…

A: Solution-: Let, X= The distribution of heights of adult males Given: (inches) We find, P[ he…

Q: According to the Department of Education, 60% of college students enjoy taking Statistics. Suppose…

A: Let  X be the number of students who enjoy taking Statistics in a sample of 200. Given n = 200…

Q: The mean life of pairs of shoes is 40 months with a standard deviation of 8 months If the life of…

A: The random variable X is the life of shoes It is normally distributed. The mean life of the pair of…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: According to the given information, we have Mean = 5 minutes Standard deviation = 1 minutes

Q: A student takes a multiple choice exam with 10 questions, each with four possible selections for the…

A: Given that, A student takes a multiple choice exam with 10 questions, each with four possible…

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…

A: According to the given information, we have Mean = 819 hours Standard deviation = 45 hours

Q: The length of human pregnancies from conception to birth varies according to a distribution that is…

A: Given that.   X~N( μ , ?)   μ=266     , ?=16   Z-score =( x - μ )/?

Q: The net weight of a can of salmon is a random variable with a mean of 6.07 ounces and a standard…

A:

Q: The mean amount of time it takes a kidney stone to pass is 15 days and the standard deviation is 4…

A: GivenMean(μ)=15standard deviation(σ)=4

Q: If the scores follow normal distribution with a mean of 120, a standard deviation of 10, find…

A: Solution

Q: ores are normally distributed with a mean of 1518 and a standard deviation of 325. If 1 SAT score…

A: Given: μ=1518, σ=325 The corresponding z-value needed to be computed is: If 1 SAT score is randomly…

Q: Temperatures in a city are distributed approximately normal, with a mean of 69 degrees Fahrenheit…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: res light bulbs that have a length of life that is normally distributed with mean equal to 821 hours…

A:

Q: Provide all necessary computations and a properly labeled curve in asnwering the following. Sam…

A:

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 7…

A:

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: given data,normal distribution μ=5σ=3probability that person will wait more than 9 minutes =?

Q: To qualify for a police academy, applicants are given a test of physical fitness. The scores are…

A: Given : mean (μ ) = 62 standard deviation (σ) = 7                                  σ²  = 49

Q: Assume IQ scores for adults are normally distributed with a mean of 100 and a standard deviation of…

A:

Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 20 hours…

A: Denote X as the life of a randomly selected light bulb.

Q: ow that a random individual will fall between 107 and 103 .if the mean IQ is 100 the standard…

A: Consider a random variable X which represents IQ of the individual.    X follows normal distribution…

Q: The life of light bulbs is distributed normally. The mean life time of a bulb is 520 hours and the…

A: Answer: Using the given data, Let X represent the life time of a light bulb X follows normal…

Q: loaded my die so that the chance of a 1 is 0.1, the chance of a 6 is 0.2, and the chances of the…

A: Use ∑P(x) =1   to find the remaining probability

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: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: Here, mean is 5 and standard deviation is 3. We will use z-standard normal distribution.

Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 33 hours…

A: Answer: From the given data, Mean (μ) = 510 Standard deviation (σ) = 33 X~ Normal distribution (μ,σ)

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

A:

Q: The life of lightbulbs is distributed normally. The standard deviation of the lifetime is 20 hours…

A: The following information has been provided: The population mean is μ=600. The population standard…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A: Let X is defined as the adult have IQ scores that are normally distributed with mean of 100 and…

Q: The average age of senators in the 108th Congress was 62 years. If the standard deviation was 12.5…

A: Solution: Let X be the age of senator. From the given information,

Q: According to the latest internet usage survey of college students, the amount of time spent on…

A: From the provided information, Mean (µ) = 210 minutes Standard deviation (σ) = 45 minutes X~N (210,…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A: Let X be the random variable from normal distribution with mean (μ) = 100 and standard deviation (σ)…

Q: In a Calculus class, the final exam scores were normally distributed with a mean of 63 and a…

A: Given: The value of mean is, μ=63. The value of standard deviation is, σ=5. The objective is to…

Q: The length of a ball pen is known to be normal with mean 5 inches with a standard deviation of 0.1…

A: Given: Population Mean (\mu)(μ) = 805 Population Standard Deviation (\sigma)(σ) = 1.70.1

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.