CNNBC recently reported that the mean annual cost of auto insurance is 1006 dollars. Assume the standard deviation is 184 dollars. You will use a simple random sample of 88 auto insurance policies. Find the probability that a single randomly selected policy has a mean value between 980.5 and 1051.1 dollars. P(980.5 < X < 1051.1) =  Part 2 Find the probability that a random sample of size n=88n=88 has a mean value between 980.5 and 1051.1 dollars. P(980.5 < M < 1051.1) =

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: Consider a population that has an average score of 100 that is normally distributed (standard…

A: Solution-: Given: μ=100,σ=1 Let, X- be the score We want to find P(X&lt;100)=?

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

A: Let X be length of time marks the longest 2.16 % of all pregnancies from normal distribution with…

Q: The amount of time it takes students to complete a biology exam is normally distributed with a…

A: Given that, The random variable X is the amount of time takes students to complete a biology exam It…

Q: CNNBC recently reported that the mean annual cost of auto insurance is 980 dollars. Assume the…

A:

Q: For a population, the mean is 275 yards with a standard deviation of 73 yards. Determine the…

A: To determine the probability of a sample of 30 having a mean of 285 yards or lower, we can use the…

Q: You are to write down on a piece of paper the number of credits you are taking this semester. Your…

A: Give the general format for solving this problem as below. Summarize the recorded date of number of…

Q: In New York State, the population of teachers is known to have an average of 12.2 years of classroom…

A:

Q: Find the 90th percentile for the sample mean excess time for samples of 75 customers who exceed…

A: The mean is 22 and the standard deviation is 2.2.

Q: he retirement age of National Football League (NFL) players is Normally distributed with a mean of…

A:

Q: The lifespans of certain 350 sample cricket insects are normally distributed. it is found that 15%…

A: Let, X be the life span. μ =mean σ= sd

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

A:

Q: Fluorescent lightbulbs have lifetimes that follow a normal distribution, with an average life of…

A: Solution: From the given information, σ=1,612 hours and n=332.

Q: he number of bank robberies that occur in a large North American city is Poisson distributed with a…

A: Given : Let X : No. of bank robberies that occur in a large North American city is Poisson…

Q: According to the historical data, the life expectancy in the United States is less than the life…

A:

Q: Calculate the mean and standard deviation for the distribution which defines selecting a faculty as…

A: Given that  10 facility  8 administrators  8 committee  We have to find mean and standard deviation…

Q: The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6…

A: 1.) Preliminary Condition Check: a.) One condition that must be satisfied for the independent t-test…

Q: Assume that body temperatures of healthy adults are normally distributed with a mean of 98.2 and a…

A: From the given information X follows normal distribution with mean µ = 98.2 standard deviation σ =…

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: If the scores follow normal distribution with the mean of 84 and a standard deviation of 7, find…

A:

Q: The average age of UST employees is 34 years old. Assume the data is normally distributed. If the…

A: The average age of UST employees is 34 years old i.e. μ=34 The standard deviation is three years…

Q: Nationally the average score on the college entrance exams (Verbal test) is 453 with a standard…

A: Consider that μ is the population mean score. Null hypothesis: H0: μ = 453. Alternative hypothesis:…

Q: According to the historical data, the life expectancy in the United States is less this has changed.…

A: Solution: Given information: n1=230n2=205x1=77.7x2=75.9s1=8.8s2= 7.5

Q: Using the built-in dataset cars that is included with R, and by using the parameter estimates…

A: The task at hand involves analyzing the "cars" dataset included with the R programming language. The…

Q: A machine is set to fill paint cans with a mean of 137 ounces and a standard deviation of 0.20…

A: Here is the Given infromation

Q: Songs on Leila’s smartphone have a mean length of 4.3 minutes and a standard deviation of 1.2…

A: Given: The mean length of the songs is X¯=4.3 minutes. The standard deviation of the songs is…

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

A: From the provided information, Mean (µ) = 268 Standard deviation (σ) = 17

Q: CNNBC recently reported that the mean annual cost of auto insurance is 974 dollars. Assume the…

A: We have given that  X~N( μ , ?^2 )    μ = 974    , ? =153    Z-score =( x - μ )/?

Q: whites surveyed, the mean life span was 49 years with a standard deviation of 12.1 nonwhites, the…

A:

Q: The average age of UST employees is 34 years old. Assume the data is normally distributed. If the…

A: Let W be a random variable representing the age of the employees. The average age of the UST…

Q: tal of 82 Grade 11 students of ABC senior high school took the 60 item test in General mathematics.…

A: To find the normal distribution with the mean 42 and standard deviation 6

Q: CNNBC recently reported that the mean annual cost of auto insurance is 959 dollars. Assume the…

A: Solution

Q: 20% of drivers don't use turn signals, observed of 140 cars.  What is the standard deviation of…

A: Given that 20% of drivers don't turn signals and there are 140 cars. That is, p=0.20 and n=140

Q: Find the mean variance and standard deviation for the number of heads when 10 coins are tossed.

A: When a coin is tossed it can it can land either head or tail. Therefore, the number of outcomes is…

Q: A researcher polled a sample of  1087  adults in the year  2010 , asking them how many hours per…

A: Given that  Sample sizes n1=1087      , n2=1046      Sample means X̄1=10.49      , X̄2=9.45    ?1…

Q: A local firm reported that an American family of four washes an average of 2000 pounds of clothes…

A:

Q: construct the normal model for data with a mean of 57 and a standard deviation of 6. Show the…

A: It is called empirical rule.  Given, Mu= 57 Sigma = 6

Q: In a standardized exam the mean score is 400 with a standard deviation of 50. If a random sample of…

A: Given that  μ= 400 , σ= 50 , n = 25

Q: The height of the adult in a community are normally distributed with a mean value of 172 centimeters…

A: X: height of the adult in a community. X~N(μ,σ) μ=172cm   and     σ=8cm

Q: A division-wide aptitude test was conducted on 10 000 pupils. the mean of the test is 58 and…

A: Given, A division-wide aptitude test was conducted on N=10 000 pupils. The test, The scores also…