Find the probability that a single randomly selected value is greater than 21.6. P(X > 21.6) =| %3D Find the probability that a sample of size n = 170 is randomly selected with a mean greater than 21.6. P(M > 21.6) = %3D

Q: The probability of winning a large stuffed animal in the ring-toss game at a fair is 10%. a) Using a…

A: a) For large sample size (n>30), binomial distribution can be approximated to normal distribution…

Q: A filling machine fills jars with syrup. The amounts poured is well approximated by a Normal…

A: The mean amount poured is 503ml, with a standard deviation of 1.4ml μ=503σ=1.4

Q: CNNBC recently reported that the mean annual cost of auto insurance is 1001 dollars. Assume the…

A: Given: Mean μ = 1001 Standard deviation σ = 220 Sample size n = 72

Q: Q4Assume the time (in hours) spent on watching TV every day is approximately normal. The mean time…

A: Z = x- μσ~N(0,1)

Q: a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people…

A: We have given that,  Let weights of people are normally distributed with mean ( μ ) = 180.7 and…

Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean…

A: Let X denote the amount of calories consumed by customers at the Chinese buffet is normally…

Q: Membership in Mensa requires an IQ score above 131.5. Eight candidates take IQ tests, and their…

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Q: The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.63…

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Q: In a country, a day can be either rainy or sunny. The probability of a day being rainy is 40.0% .…

A: A random variable follows the binomial distribution if it satisfies the following conditions. The…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A:

Q: The probability is 0.3 that a traffic fatality involves an intoxicated or alcohol-impaired driver or…

A: Given that p=0.3,n=8

Q: A court is conducting a jury selection. Let be the number of prospective jurors who will be examined…

A: From the provided information, The probability of juror being admitted is 50% that is p = 0.50 The…

Q: The population mean annual salary for an electrician is $46,700.A random sample of 42 electricians…

A:

Q: Calculate the P-value for the given scenario.  Use 4 decimal places.:   Employees at a…

A: Denote μ as the population mean salary of the company’s mechanical engineers. It is needed to check,…

Q: Draw and shade the region before solving the problem.The length of time needed for to service a…

A:

Q: CNNBC recently reported that the mean annual cost of auto insurance is 1018 dollars. Assume the…

A: GivenMean(μ)=1018standard deviation(σ)=224sample size(n)=90

Q: Find the probability that a single randomly selected value is greater than 50.9. P(X > 50.9) = Find…

A: Let X represents the distribution of population values. Given that X follows N(mean = 68.3, SD=…

Q: An archer can either hit or miss his target. The probability of hitting a target is 70.0% . Suppose,…

A: A random variable follows the binomial distribution if it satisfies the following conditions. The…

Q: 5. The average American adult eats an average of 6.5 gallons of ice cream per year. Assume the…

A: (5) X follows a Normal distribution with mean = 6.5 and S.D = 2.3 Then z=(x-mean)/SD =…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a…

A:

Q: A farmer uses artificial insemination to impregnate his cows. This method has an 80% success rate. •…

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Q: The lengths of lumber a machine cuts are normally distributed with a mean of 97 inches and a…

A: It is given that mean is 97 inches and the standard deviation is 0.3 inch.

Q: leading magazine (like Barron's) reported at one time that the average number of weeks an individual…

A:

Q: Bastal State Uhiversity this year is $24,230, with a standard deviation of $3643. A random sample of…

A: Given Standard deviation=3643 Sample size=75 Mean = 24230

Q: 5. The average American adult eats an average of 8.5 gallons of ice cream per year. Assume the…

A: Solution: Let X be the amount of ice cream eaten is normally distributed with mean μ=8.5 and…

Q: Scores on a standardized mathematics test for 8th grade children in New York State form a normal…

A: From the given information 8th grade children in new York state form a normal distribution with mean…

Q: Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed…

A: Given: μ=67.3, σ=1.84 a) n=24 The standard deviation for the sampling distribution of the sample…

Q: (f) What is the probability a random sample of size 19 will have a mean gestation period within 9…

A: Given Information: μ=281 and σ=21 (f) To find the probability that a random sample of size 19 will…

Q: CNNBC recently reported that the mean annual cost of auto insurance is 1023 dollars. Assume the…

A: Central Limit Theorem:             Central Limit Theorem states that if you have a population with…

Q: CNNBC recently reported that the mean annual cost of auto insurance is 1018 dollars. Assume the…

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Q: A furniture company wants to know what percent of their customers are satisfied with the furniture…

A: Given values, number of customers (n) = 110 proportion of people satisfied with their purchase (p) =…

Q: 6. Bags checked for a certain airline flight have a mean weight of 17 kg with a standard deviation…

A: The random variable X follows normal distribution. We have to find the probability that the sample…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 90 inches and a…

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Q: The contents of a soda can holds an approximate and normally distributed mean of μ= 10 oz with…

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Q: In a country, a day can be either rainy or sunny. The probability of a day being rainy is 40.0% .…

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Q: Nationwide study indicated that 80% of college students with cellphone send and received text…

A: Solution: Let X be the number of college students with cell phone send and received text messages…

Q: (b) Patients are recruited to take part in the trial, the weight of these individuals is normally…

A: Givenstandard deviation(σ)=12and the probability is P(x≤120)=0.0475

Q: The waiting time a customer spends in the airport luggage check-in is a random variable with mean…

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Q: Paramesan cheese is aged for an average of 24 months to allow it to develop the desire richness in…

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Q: The length of human pregnancies is approximately normally distributed with mean ? = 266 days and…

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Q: A company recently installed a new photocopy machine and evaluating how long it takes for new…

A: Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-parts at a…

Q: Let the random variable X denote the length of time (in seconds) required to complete a certain…

A: For standard normal random variable, Mean (µ) = 216 seconds Standard deviation (σ) = 50 seconds X~N…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 99 inches and a…

A: We have given that the random variable X i.e. the length of lumber is normally distributed with mean…

Q: CNNBC recently reported that the mean annual cost of auto insurance is 973 dollars. Assume the…

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Q: One year consumers spent an average of ​$22 on a meal at a resturant. Assume that the amount spent…

A: From the provided information, Mean (µ) = $22 Standard deviation (σ) = $3 X~N (22, 3) Here X be a…

Q: 8) patients undergo this surgery. The survival rate during a risky surgery for patients is 80%.…

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Q: Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed…

A: Given Mean =  66.8 Standard deviation=2.22 n=16

Q: A sample of 250 students from COMM 215 sections, class of winter 2021, was taken for an exploratory…

A: Given dataA random sample of 50 studentsand population standard deviation is 26 minutes