The average score of this quiz is 24 points with a standard deviation of 1.5 points. What is the probability that someone scored 21.9 or less? Write your answer as a percentage without rounding.

Q: The mean gas mileage for a hybrid car is 57 miles per gallon, Suppose that the gasoline mileage is…

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Q: In a college entrance exam, the average score of 1,000 test takers is 150 with a standard deviation…

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Q: On a nationwide math test, the mean was 75 and the standard deviation was 7. If Roberto scored 70,…

A: The z score indicates how many standard deviations that a data points away from the mean. It can be…

Q: The operation manager at a tire manufacturing company believes the mean mileage of a tire is

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Q: A quiz consists of 20 true or false questions. If the student guesses on each question what is the…

A: Solution: Let X be the number of correct answers and n be the number of questions. Since the…

Q: On a nationwide math test, the mean was 51 and the standard deviation was 4. If Roberto scored 70,…

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Q: The mean of a normal probability distribution is 120 the standard deviation is 10. About what…

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Q: d) What is the probability that the number of drivers will be 10 or more? e) Find the mean and the…

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Q: A parent is hopeful that their son will score in the top 15% of a. dance competition. What score…

A: We have given that, The mean of the distribution is 28 and the standard deviation is 6.   Z-score =…

Q: 95% of 80 freshman history students scored between 70% and 80% on a take home quiz. If this data is…

A: Given,  n=80 α= (1-0.95) =0.05 Let X denote the score of freshmen. As per t-distribution table, the…

Q: Isn't here the standard deviation equal to 4, not 2, as the tutor wrote?

A: Solution-: Given: μ=-3,σ=4 We want to find, P(0<X<2)=? Draw the picture.

Q: A coin is tossed 16 times, and the number of heads is counted. What is the standard deviation for…

A: Given that,Sample size (n) = 16

Q: The amount of soda in a randomly selected bottle varies according to a normal distribution with mean…

A: From the given information,   Mean = 7 Standard deviation = 8   The objective is to find the…

Q: On a nationwide math test, the mean was 63 and the standard deviation was 10. If Roberto scored 85,…

A: GivenMean(μ)=63standard deviation(σ)=10score(x)=85

Q: In an examination in Statistics, the mean grade is 72 and the standard deviation is 6. Find the…

A: Given that ; Population mean (u) = 72 Standard deviation = 6  By using standard normal distribution…

Q: Based on a recent report, the cost of healthcare is $8,086 per person in the United States. Suppose…

A: Given : Population Mean,μ = 8086.0 Population Standard Deviation,σ = 2500.0 sample…

Q: (d) What is the probability that the number of drivers will be within 2 standard deviations of the…

A: Let X=the number of drivers X follows a Poisson distribution with mean= 20 So the standard…

Q: Please answer all subparts     According to the U.S. Energy Administration, the mean monthly…

A: We have find given probability...

Q: On a nationwide math test, the mean was 69 and the standard deviation was 7. If Roberto scored 80,…

A: Given,mean (μ)=69standard deviation (σ)=7andRoberto score(X)=80

Q: The mean score for a test is 87 with a standard deviation of 12.  Assuming a normal distribution for…

A: Given,mean(μ)=87standard deviation(σ)=12

Q: Find the probability that a sample of 18 has a sample mean below 32. The population mean is 24 and…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: A researcher showed the mean of weights of college football players to be 200 pounds with a standard…

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Q: Rochester, New York averages μ = 21.9 inches of snow for the month of December. The distribution of…

A: Consider X be a random variable which, follows normal distribution, indicates the pay off by the…

Q: The reading speed of second grade students is approximately normal with a mean of 90 words per…

A: Given data,μ=90σ=10P(X>95)=?

Q: Convert score 46 to z-score if the mean is 40 and the standard deviation is 4.

A: The definition of a z-score is:   z = (X - μ) / σ

Q: Find the standard deviation for the number of girls in groups of 14 births when p = 0.5

A: Binomial probability distribution is a type of discrete probability distribution.

Q: The mean is 137 and the standard deviation is 5.3. find the probability that X is between 134.4 and…

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Q: Suppose a probability and statistics class took an exam that had a mean of 60 and a standard…

A: Given, E(X)=60 SD(X)=12   After 10 Point curve Let Y be new variable.

Q: According to government data, the probability that a woman between the ages of 25 and 29 was never…

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Q: The cafeteria records that 67% of students buy pizza with a standard deviation of .03 If you took a…

A: Given: p=67% and σ=0.03. Now, if a sample of 100 is taken, then standard deviation of sample will…

Q: In a job fair, 3000 applicants applied for a job. Their mean age was found to be 28 with a standard…

A: The mean is 28 and the standard deviation is 4.

Q: The wind speeds throughout the month of April were normally distributed with a mean of 17 mph and a…

A: We have given that  X~N(mu,sigma ^2) mu=17,sigma =4 Z-socre =(x-mu)/sigma

Q: Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard…

A: Given:  Let n represents the number of students in the class (n=100). Let p represents the…

Q: has averaged 7.48 mg/L with a standard deviation of 1.6 mg/L. If 10 students measure the sulfate in…

A: Given: sample size, n = 10Mean, μ =7.48std. deviation, σ = 1.6

Q: The mean is μ =137 and the standard deviation is σ = 5.3, Find the probability that X is between…

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Q: The final score for a mathematics exam is normally distributed, with an average score (µ) of 57 and…

A: GivenMean(μ)=57standard deviation(σ)=9.25

Q: A class has an equal number of boys and girls. The boys all got 78% on a test and the girls all got…

A: From the provided information, Boys got 78% on a test and girls got 84%. Let n = number of girls =…

Q: A study found that the heights of college males follow a normal distribution with a mean of 70…

A: Given information- Mean height, μ = 70 inches Standard deviation, σ = 2.5 inches We have to find the…

Q: The Real Estate Group NY reports that the mean monthly rent for a one-bedroomapartment without a…

A: Given : Mean monthly rent , μ =   $2750  standard deviation , σ = $650 Sample size = n  = 100…

Q: What is the standard deviation?

A: We have to calculate the SD for the given frequency distribution.

Q: Explain the standard deviation?

A: Standard deviation: Both the standard deviation and the variance are based on how much each…

Q: If a gambler places a bet on the number 7 in​ roulette, he or she has a​ 1/38 probability of…

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Q: The amount of soda in a randomly selected bottle varies according to a normal distribution with mean…

A: Let x be the amount of soda in a randomly selected bottle varies which follows normal distribution…

Q: On average, Upstate Chevrolet sells 20 cars each week, with a standard deviation of 2. How many…

A: As per guidelines we are allowed to maximum of three sub parts.22) If you need help with other sub…

Q: Most graduate schools of business require applicants for admission to take the GMAT examination.…

A: Normal distribution is bell shaped distribution and it is centred at the mean of the distribution. A…

Q: It is possible to score higher than 1600 on the SAT, but scores 1600 and above are reported as 1600.…

A: Obtain the Z-score for the random variable X equals 1600. The Z-score for the random variable X…

Q: The mean of 7 consecutive integers is 10. What is the standard deviation?

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Q: Suppose scores on an examination are normally distributed. If the examination scores have a mean 60%…

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Q: A racing car consumes a mean of 106 gallons of gas per race with a standard deviation of 6 gallons.…

A: It is given that the mean and standard deviation are 106 and 6. The sample size n is 33.By using…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.