CNNBC recently reported that the mean annual cost of auto insurance is 982 dollars. Assume the standard deviation is 202 dollars. You take a simple random sample of 83 auto insurance policies. Find the probability that a single randomly selected value is less than 981 dollars. P(X < 981) =  Find the probability that a sample of size n=83n=83 is randomly selected with a mean less than 981 dollars. P(M < 981) =  Enter your answers as numbers accurate to 4 decimal places. Submit QuestionQuestion 1

Q: What is the probability that a first grade classroom of 20 students who are chosen randomly from the…

A: Given Information: Mean μ=100 Standard deviation σ=15 Sample size n=20

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

A:

Q: The amount of time students study for a test is normally distributed with a mean of 3 hours and a…

A: Mean=μ=3Standard.deviation=σ=1.8Samplesize=n=30

Q: Find the probability that the sample mean is between 40 and 50. Sample size is 36 are drawn randomly…

A: From the provided information, Mean (µ) = 45 Standard deviation (σ) = 20 X~N (45, 20) Sample size…

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: 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: Metabolic rate is the rate at which someone consumes energy. Data (calories per 24 hours) from 7…

A: n=7 Data: 1792,1666,1362,1614,1460,1867,1439

Q: Scores for a standardized test are normally distributed with a mean of 1200 and a standard…

A: given data μ = 1200σ = 60 normal distributionn = 64P(1200&lt;x¯&lt;1214) = ?

Q: Assume that adults have IQ scores that are normally distributed with a mean of 97.8 and a standard…

A: Given a mean of 97.8 and a standard deviation of 23

Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…

A: given data μ=200σ=9normal distribution P(200&lt;x&lt;225)=?

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: Using the formulas, calculate the (i) mean and (ii) standard deviation of X.

A: Let p be the probability of shot that scored points. Given that p = 61.3% = 0.613 Given that X= the…

Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…

A: It is given that  Mean, μ = 200 Standard deviation, σ = 9 Z-Score, Z = ( X - μ )/σ

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: 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: Find the probability that a randomly selected adult has an IQ greater than 129.9.

A: Let X denote the IQ scores. Given that X follows N(mean = 98.6, SD = 18.5), then Z = (X - mean)/SD…

Q: The mean of a test is 400 and the standard deviation is 75. It is normally distributed. A sample of…

A: 1] Mean μ=400 2] standard deviation σ=75 3] n=25 4] μx¯=400σx¯=σn=7525=15

Q: The average time a person spends shopping in a grocery store is 43 minutes.  If the time is normally…

A: Given:  The average time a person spends shopping in a grocery store is 43 minutes.  The time is…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.9 and a standard…

A: Given: Mean μ = 95.9 Standard deviation σ = 15.6 Formula Used: Z-score: Z = X-μσ

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

A:

Q: The average teacher's salary in Connecticut (ranked first among states) is $57,337. Suppose that the…

A: Given that  Mean = M = 57337 Standard deviation = SD = 7500 X ~ Normal ( M = 57337 , SD = 7500 )…

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Let  be the percent of fat calories that a person in America consumes each day.The random variable…

Q: Entry to a certain university is determined by a national test. The scores on this test are normally…

A:

Q: In 2000, the average height of a woman aged 20–74 years was 64 inches with an increase of…

A:

Q: Adult Golden Retrievers have a mean weight of 64 pounds with a standard deviation of 8 pounds. If…

A: In this scenario, it is known that the  mean weight is 64 pounds with a corresponding standard…

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

A:

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

A:

Q: A population has a mean of 75 and a standard deviation of 15 you randomly sample nine people from…

A: Given population have mean 75 and standard deviation 15. A sample of 9 people from the population is…

Q: The average hourly wage for manufacturing workers in the United States is $16.08 per hour, with a…

A: For the distribution (specified to be normal) of the hourly wage (in ) for manufacturing workers in…

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: 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: CNBC recently reported that the mean annual cost of auto insurance is $994. Assume the standard…

A:

Q: Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: The mean time for a group of adults to complete a certain achievement test is 38.8 minutes and the…

A:

Q: The average number of minutes per week that teenagers spend texting is 250.0. Assume the standard…

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

Q: A population has a mean of 75 and a standard deviation of 15. You randomly sample 9 from the…

A: