Mean and standard deviation of a distribution are 16 and 2 respectively. At least what percent of value will fall between 11 and 21

Q: The length of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

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

Q: A drug was tested on one hundred and fifty patients of which thirty patients respond to the…

A: Given information: A drug was tested on 150 patients. Among 150 patients, 30 patients are responded…

Q: Students pass a test if they score 50% or more. The marks of a large number of students were sampled…

A: Given information- Population mean, µ = 42% Population standard deviation, σ = 8% We have given that…

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e.,…

Q: A normal distribution has a mean of 93 and a standard deviation of 9. Find the z-score for a data…

A:

Q: The average age of our class is 22.3 years.  The standard deviation is 4.7 years.  If the variable…

A: Solution: Let X be the average age of class has normal  distribution  with mean μ=22.3 years and…

Q: Ages of Gamblers The mean age of a sample of 22 people who were playing the slot machines is 50.2…

A: To test the difference of means, through unknown population parameters (here population standard…

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A:

Q: IQ scores form a normal distribution with a mean of μ =109 and a standard deviation of   σ = 14.…

A: Given  mean of μ =109  standard deviation of   σ = 14 Sample size of n = 25 Z = (x  - mu)/σ/√n

Q: 25 - It is known that the average of blood pressure values in a community show normal distribution…

A: Given,   Mean = 130 Standard deviation = 25   The objective is to find the percentage of people with…

Q: Tie time to complete a standardized exam is approximately normal with a mean of 70 minutes and a…

A: We have given that the random variable X i.e. time is normally distributed with mean 70 minutes and…

Q: Diastolic blood pressures are assumed to follow a normal distribution with a mean of 90 and a…

A:

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A: First we reduce the given normal distribution to the standard normal distribution using the formula…

Q: P(x<62)  mean is 80 and standard deviation is 94

A: Mean = 80 Standard deviation = 94

Q: using chebyshev's theorem, solve the following problem for a distribution with a mean of 80 and…

A: We have for a distribution with a mean of 80 and standard deviation of 10. We have to apply…

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the IQ…

A: Excel formula: =NORMINV(0.305,0,1)=-0.5100

Q: normal distribution has a mean of 105 and a standard deviation of 4. Find the z-score for a data…

A: Given Mean µ = 105 Standard deviation σ = 4 z- score  = (x - µ )/σ

Q: Scores on an English exam are normally distributed with a mean of 78.6 and a standard deviation of…

A: From the given information, The random variable X is scores on an English exam The mean is 78.6 The…

Q: A distribution of exam scores as a mean of µ=42. a. If your score is X=46, which standard deviation…

A: Solution: From the given information, µ=42.

Q: Scores on a test have a mean of 6 and a standard deviation of 9. Michelle has a score of 57. Convert…

A:

Q: Q scores for students at a prestigious university are normally distributed with a mean of 110 and a…

A: Solution: Let X be the IQ scores for students at a prestigious university are normally distributed…

Q: A z-score measures the probability that a particular value of the variable will occu how many…

A:

Q: Globally, women’s heights are normally distributed, with a mean of 65 inches and a standard…

A:

Q: a. Calculate the range and the standard deviation. (Use either definition for the range.) b. Add 2…

A: 18. a. The maximum score is 9, and minimum score is 2. The range is, Range=max-min=9-2=7 Thus, the…

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A:

Q: TRUE OR FALSE: A z-score indicates the number of standard deviations a data value is ab below the…

A: Standardized z-score: The standardized z-score represents the number of standard deviations the data…

Q: Javier and Carlita are studying measures of spread. After looking at Dot Plot A and Dot Plot B,…

A: It is asked to compare the Dot plot and comment on variability.

Q: Pharmacist lilly  is researching how long the active ingredient in a particular drug is measured in…

A: 1.   Denote μ as the population mean time of the drug is active in the liver of people after oral…

Q: Final averages are typically approximately normally distributed with a mean of 72 and a standard…

A: GivenMean(μ)=72standard deviation(σ)=12.5

Q: On an exam in Statistics and Probability, the grades are normally distributed with a mean of 76 and…

A: Given that

Q: IQ scores are distributed normally with a mean of 100 and a standard deviation of 16. a) sketch a…

A: Consider,X be a random variable that represent the IQ score which is normally distributed with a…

Q: Ozlem Hoca's statistics STAT 410 class analyzed the lengths of the songs played on a local radio…

A:

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

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

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 25. The middle 60% of IQs…

A:

Q: A population of scores is normally distributed. The mean of the population is 60 and the standard…

A: The mean is 60 and the standard deviation is 10.

Q: A normal distribution has a mean of 400 and a standard deviation of 100. Calculate the 50th…

A: Let X be a random variable which follows N(mean= 400, SD = 100), then Z = (X - mean)/SD follows…

Q: Scores on an exam were normally distributed. Ten percent of the scores were below 64 and 80% were…

A: Introduction: Consider X as a normally distributed random variable, with mean μ and standard…

Q: A normal distribution has a mean of 87 and a standard deviation of 10. Find the z-score for a data…

A: Given that, Mean = 87 Standard deviation = 10

Q: A test is used to assess readiness for college. In a recent​ year, the mean test score was 19.5 and…

A: The test score that are significantly low is, z=x-μσ-2=x-19.54.9-9.8=x-19.5x=19.5-9.8=9.7 Thus, the…

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the…

A: Given, IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. =&gt; μ…

Q: Scores for a civil service exam are normally distributed, with a mean of 75 and a standard deviation…

A: GivenMean(μ)=75standard deviation(σ)=6.5

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the…

A: Reviewing information, Given, X : Individual's IQ score X~N(μ=100 , σ=15)

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A:

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: Given that.   X~N( μ , ?^2 )   μ=1466     , ?=315   Z-score =( x - μ )/?

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15. The middle 50% of IQs…

A: Consider a random variable X which represents the IQ of the student.   If middle 50% of the IQs fall…

Q: the standard deviation Choose the correct option between mean and median below the > the the mean =…

A:

Q: The length of human pregnancies from conception to birth approximates a normal distribution with a…

A: We have to find given probability..

Q: On standard IQ​ tests, the mean is 120 and the standard deviation is 16. The results are very close…

A: Given:-   Normal distributionmeanμ =120standard deviationσ=16we have to find PX&gt;120

Q: Identify the test scores that are significantly low or significantly high.

A: Here Given , A test is used to assess readiness for college. In a recent​ year, the mean test score…