A population of 2,800 students from a certain region have normally distributed National Examination scores with a mean of 89 and standard deviation of 5. What is the probability that a random sample of 35 students has a mean score above 90? Express your answer in percent form with 2 decimal places (with percent symbol - e.g. 10.00%)

Q: The mean per capita income is 20,436 dollars per annum with a standard deviation of 839 dollars per…

A: Given Information: Population mean (u) = 20436 dollars Standard Deviation (s) = 839 dollars Sample…

Q: A mandatory competency test for high school sophomores has a normal distribution with a mean of…

A: Suppose a random variable X, defines the scores in competency test for high school sophomores.

Q: Explain Bayes theorem with examples and applications.

A: BAYES' THEOREM It is a concept used to determine the conditional probability of events. Consider two…

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A:

Q: requirements. What is the probability that a student selected at random from this school earn…

A: It is given that  Mean, μ = 1473 Standard deviation, σ = 300 Z-Score, Z = ( X - μ )/σ

Q: Temperatures in a city are distributed approximately normal, with a mean of 73 degrees fahrenheit…

A:

Q: a division wide aptitude test in mathematics was conducted to 1000 students. the mean of the test is…

A: Given : No. of students : Sample size (n) = 1000 Let X : Scores in aptitude test in mathematics…

Q: Scores on a history test have average of 55 with standard deviation of 10. What is the probability a…

A:

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<x¯<1214) = ?

Q: The distribution of scores for the third exam in a statistics course has a mean of 74 and a standard…

A: Given Information: Mean, μ=74 Standard Deviation, σ=15 Sample Size, n=36

Q: A federal study showed that 63.8%of occupants involved in a fatal car crash wore seat belts. Ofthose…

A: Define the events: E : Event that the occupant was ejected from the vehicle A: Event that the…

Q: Find P(A), given that P(A) 0.493.

A: Given,      P A=0.493

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: Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the…

A: Solution: It is given that, Population mean, 70 Standard deviation, 5 Given that Cody took his first…

Q: A house had 3,500 square feet of living space. Approximately how many square meters of living space…

A:

Q: A mandatory competency test for graduating seniors has a normal distribution with a mean of 400 and…

A: Given Data Population Mean,μ = 400 Population Standard Deviation,σ = 100

Q: The waiting time for a bus has a uniform distribution between 2 and 11 minutes. What is the 75th…

A: The objective of this question is to find the 75th percentile of a uniform distribution. A uniform…

Q: The scores on the exam public health professionals take to be certified follows a normal…

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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: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: Answer: From the given data, Let X: Combined SAT scores Mean (μ) = 1487 Standard deviation (σ) = 307

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the…

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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 population mean is 20 inches and population standard deviation is 4 inches. A random sample of…

A: mean = 20 s =4

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 average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: The average math SAT score is 513 with a standard deviation of 119. A random sample of 60 students…

A:

Q: The time taken to complete a mathematics test is normally distributed, with an average time (u) of…

A: We have that Population mean =35 Population standard deviation =8.5

Q: On the final exam in a large statistics class the average score was 76 with a standard deviation of…

A:

Q: About 78​% of all female heart transplant patients will survive for at least 3 years. Ninety…

A: From the given information, the sample size is 90 and the  proportion is 78%. The mean of the sample…

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A: Suppose the random variable x defines the soft drink machine output.

Q: The Psych 230 students finished the course with a total population mean of 130 points and the…

A:

Q: A mandatory competency test for high school sophomores has a normal distribution with a mean of 410…

A:

Q: A racing car consumes a mean of 103 gallons of gas per race with a standard deviation of 6 gallons.…

A:

Q: The grades of a statistics midterm are normally distributed with a mean of 79 and a standard…

A: Normal distributionμ=79σ=3.5pgrade between74 and 80=?