CNNBC recently reported that the mean annual cost of auto insurance is 958 dollars. Assume the standard deviation is 273 dollars, and the cost is normally distributed. You take a simple random sample of 40 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. What is the probability that one randomly selected auto insurance is less than $912? d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is less than $912. e. For part d), is the assumption of normal necessary? O No Yes

Q: The average amount of money spent for lunch per person in the college cafeteria is $6.2 and the…

A: Here, 43 samples are collected. b.) Hence, if the sample mean is denoted by x, then, x~N(μ,σ2n),…

Q: Given a set of data that is skewed-left, there is at least _____ % of the data within 3 standard…

A: From the given information, Consider, As it has been given that data is left skewed as a result one…

Q: In a Statistics course the professor uses the following grading policy: the bottom 5% of students…

A: Given that  b .Find the probability that a randomly selected student gets an 80 or better? c.…

Q: Suppose your statistics professor graded your test with a Z Score.  You earned a 3.25 on a test with…

A: Answer:- Given, Mean, µ = 71  Standard deviation, σ = 8  And Z-score = 3.25  We need to find the…

Q: Find the area of iPpupis AU -0.45 0 2.11 A. 0.3438 В. 0.6562 С. 1.3090 O D. 0.3090 loct vour answer.

A:

Q: Using your calculator, find the range and standard deviation, round to two decimals places: The…

A:

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

A: We have given that Mean(µ) = 266Standard deviations (σ) = 15X ~ N (µ, σ )= N(266,15)

Q: IQ test scores are normally distributed with a mean of 98 and a standard deviation of 16. An​…

A:

Q: Round all answers to 4 decimal places where possible. Let X Be the cost for a randomly selected…

A: Given Data Population Mean,μ = 27552 Population Standard Deviation,σ = 7325 X…

Q: The table on the right gives the annual income for eight families, in thousands of dollars. Find the…

A: Given that following data Family Income x A 49 B 51 C 46 D 48 E 47 F 48 G 45 H 50…

Q: Los Angeles workers have an average commute of 33 minutes. Suppose the LA commute time is normally…

A: Let, x denotes the commute time for randomly selected LA worker. It is given that- x~N33,13

Q: Private nonprofit four-year colleges charge, on average, $27,880 per year in tuition and fees. The…

A: Population mean, μ=27880 Population sd, σ=7500

Q: To illustrate a normal distribution, roll a pair of dice 30 times and graph the results. You are…

A:

Q: what is the probability that you will receive a grade that is between 89 and 97 on this exam?

A: The mean of grades for the latest statistics exam is 93 and SD is 4.

Q: (Simplify your answer.) (Simplify your answer.)

A: It is given that  Mean, μ = 73 Standard deviation, σ = 6 Sample size, n = 36

Q: The average number of words in a romance novel is 64,315 and the standard deviation is 17,381.…

A:

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

A:

Q: The weekly mean income of a group of executives is $1,000 and the standard deviation of this group…

A:

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

A:

Q: Refer to the accompanying table, which describes the number of adults in groups of five who reported…

A: Given Solution: The following is the data provided:

Q: Use the normal distribution of IQ scores, which has a mean of 75 and a standard deviation of 12, and…

A: Given: μ = 75 σ = 12 Formula Used: Z-score = X-μσ

Q: If a student scored 77 points on a test where the mean score was 84.5 and the standard deviation was…

A: Solution: Let X be the score of a student. From the given information, X has a mean µ=84.5 and a…

Q: A distribution has a mean of 30 and a standard deviation of 4. Approximately 68% of the distribution…

A:

Q: A recent survey found that 72% of all adults over 50 own cell phones. You randomly select 43 adults…

A:

Q: Refer to the accompanying table, which describes results from groups of 8 births from 8 different…

A:

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

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

Q: In a normal curve, the percentage of the scores between one and two standard deviations above the…

A: Solution

Q: Sketch the distribution and shade the area corresponding to the probability you want to find. Then.…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation…

A: given data  normal distribution  μ = 269σ = 15

Q: Minister of Education Inese Puuce measured the English test scores of every child in the Grand Duchy…

A:

Q: tain population, the mean score on a test is 420.  The standard deviation is 105. If the…

A: a. The z score can be calculated as: z=X-uσ=385-420105=-0.333 b. The z score can be calculated as:…