A test has a mean score of 150 and a standard deviation of 12. Scores are normally distributed. What is the probability that a test taker has a score less than 160? O A. 2033 OB. 2967 8333 OD. 7967 OE 7033

Q: The weights of college football players are normally distributed with a mean of 200 pounds and a…

A:

Q: The diameter of the dot produced by a printer is normally distributed with a mean diameter of 1 inch…

A: Given  mu=mean=1, sd=1 Note: this probability value calculated from standard normal table.

Q: When parking a car in a downtown parking lot, drivers pay according to the number of hours or…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A population has a bell-shaped distribution with a mean of 90 and a standard deviation of 8. Which…

A:

Q: The number of cartoons watched by Mrs. Kelly's first grade class on Saturday moming is shown below.…

A: We have given that x P(x) 0 0.15 1 0.20 2 0.30 3 0.10 4 0.20 5 0.05

Q: A study indicates that the weights of adults are normally distributed with mean of 72 kg and a…

A: Given data,μ=72σ=8P(65<X<77)=?

Q: The long-distance calls made by South Africans are normally distributed with a mean of 16.3 minutes…

A: Given,mean(μ)=16.3standard deviation(σ)=4.2

Q: Q2: The diameter of the dot produced by a printer is normally distributed with a mean diameter of…

A: Given : Diameter of the dot is normally distributed with mean 0.002 and standard deviation 0.0004

Q: One year, professional sports players salaries averaged $1.8 million with a standard deviation of…

A: we have to find out givén  correct probability..

Q: A distribution of integer scores is approximately normally distributed with a mean of 147 and a…

A: It was stated that a distribution of integer scores is approximately normally distributed. The mean…

Q: Suppose that the mean chest size of certain soldiers is 39.8 inches with a standard deviation of 2.2…

A: (d)   Determine the value of chest size measured at least as large as 75% of all Scottish…

Q: The heights of 18-year-old men are approximately normally distributed with mean 68 inches and…

A: GivenMean(μ)=68standard deviation(σ)=3sample size(n)=20

Q: Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what…

A: Given that, Mean = 10 Standard deviation = 5

Q: The tip percentage at a restaurant has a mean value of 18% and a standard deviation of 6%. What is…

A: Given Information: Mean: μ=18Standard deviation: σ=6 The sample size is n=15.

Q: The scores on a mathematics exam have a mean of 78 and a standard deviation of 8. Find the x-value…

A:

Q: When the individual weight of a parcel (500 pieces) of oranges is measured, it is seen that the…

A: It is an important part of statistics . It is widely used .

Q: The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard…

A: Solution: Let X be the length of human pregnancy. From the given information, X follows normal…

Q: Given that X is a normally distributed random variable with mean of 50 and standard deviation of 2,…

A: According to the given information, we have Mean = 50 and Standard deviation = 2

Q: Find the following probabilities for test scores X, for which the mean is 600 and the standard…

A: (a) The random variable X is defined as the test scores which describes by a normal curve with mean…

Q: Provide an appropriate response. Round to the nearest hundredth. Find the standard deviation for…

A:

Q: The tip percentage at a restaurant has a mean value of 18% and a standard deviation of 6%. What is…

A: Obtain the approximate probability that the sample mean tip percentage for a random sample of 40…

Q: In a random sample of 1000 students, 70% prefer to study at the school campus. The standard error…

A: Solution: Given:   n: size of random sample  = 1000 p: sample proportion          = 0.70…

Q: The weights of babies born in a hospital show a normal distribution with a mean of 3.3 kg and a…

A:

Q: A certain machine makes electrical resistors having a mean resistance of 50 ohms and a standard…

A: Percentage of resistor having exceeding resistanc 56 ohms =6.68%  # option(c) correct

Q: Find the indicated probability. IQ scores are known to be normally distributed with a mean of 100…

A: Given, Mean = 100 Standard deviation = 15   The objective is to find the probability that a randomly…

Q: The scores on a mathematics exam have a mean of 73 and a standard deviation of 9. Find the x-value…

A: We have given that  X~N(mu,sigma^2) mu=73  , sigma = 9  ,Z-socre =5.019 Z-socre =(x-mu)/sigma

Q: The number of dogs per household in a neighborhood is given in the probability distribution. Find…

A: The table shows the number of dogs per household in a neighborhood.

Q: In a certain state, the daily amounts of industrial waste are normally distributed with a mean of…

A: Let us denote X=the daily amounts of industrial wasteGiven that X is normally distributed with…

Q: We have provided a normal probability plot of data from a sample of a population. In each case,…

A:

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: Given: Thermometer readings follows standard normal distribution.

Q: An audit finds that the dollar amounts of invoices have a mean of $1,662 and a standard deviation of…

A: we have given that mu=1662 ,sigma =302 , n=50  X~N(mu=1662 , sigma^2=302^2) X is a normally…

Q: Find the indicated probability. The incomes of trainees at a local mill are normally distributed…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 1100,…

Q: The mean of a certain normal distribution is equal to the standard deviation of the sample mean of a…

A: Given: Let μ be population mean σ be the population standard deviation Given: Mean = standard…

Q: A sample of n = 4 scores is selected from a normal population with a mean of µ = 50 and a standard…

A: Given values, We know that,

Q: A test has a mean soore of 150 and a standard deviation of 12. Scores are normally distributed. What…

A: Let X denote the test score and it follows normal distribution with mean of μ=and standard deviation…

Q: For a normally distributed variable X with mean 40 and standard deviation 10, what is the…

A: P(X ≥ x ) = P(X >x) + P(X =x)                 = ∫x∞f(x)dx + 0

Q: Based on data from 1996-2006 from the Western Regional Climate Center, the average speed of winds in…

A:

Q: The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of…

A: X: the line width for semiconductor manufacturing. X has normal distribution X~N(μ,σ) μ=0.45…

Q: e that the heights of women are normally distributed with a mean of 63.6 inches and a standard…

A: Mean =63.6Standard deviation = 2.5Sample size = 100

Q: If the temperature at which a certain compound melts is a random variable with mean value 115°C and…

A: It is given that  Mean = 1150C Standard deviation = 40C 0F = 1.80C + 32

Q: In a Math test, the mean score is 45 and the standard deviation is 5. Assuming the scores are…

A:

Q: The diameter of an electric cable is normally distributed, with a mean of 0.9 inch and a standard…

A: Given data: The given mean is xm=0.9 inch. The given standard deviation is σ=0.02 inch. The given…

Q: The average amount of Vitamin C in a capsule of a multivitamin is 500 mg and the standard deviation…

A:

Q: The Wechsler Adult Intelligence Scale is a common "IQ test" for adults. Scores for people over age…

A:

Q: The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…

A: Introduction: The sampling distribution of the sample mean, X̄, based on a sample of size n, taken…

Q: Find the indicated probability. IQ scores are known to be normally distributed with a mean of 100…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 15 X~N (100, 15) Here X be a…

Q: Assuming the normal heart rate (H.R) in normal healthy individuals is normally distributed with Mean…

A:

Q: For a normally distributed population with a mean of u = 70 and a standard deviation of o = 10, what…

A: According to the given information, we have Mean = 70 Standard deviation = 10 Sample size, n = 64

Q: A certain machine makes electrical resistors having a mean resistance of 50 ohms and a standard…

A: According to the given information, we have Mean = 50 Standard deviation = 4

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.