SAT college entrance test scores are known to be a normally distributed with a mean of 1045 and a standard deviation of 54. Determine the 50th percentile of all SAT scores. Round the solution to the nearest whole number, if necessary. The 50th percentile is

Q: Entrance exam scores at Cititon University are normally distributed with a mean of 558 and a…

A: Given: X = entrance exam scores X is Normally distributed Mean of X = 558 Standard deviation of X =…

Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers…

A: Solution: Let X be the breadth of male head. From the given information, X follows normal…

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: According to a recent report, the average American consumes 22.7 teaspoons of sugar each day (Cohen,…

A: It is given that the mean is 22.7 and the standard deviation is 4.5.

Q: a history class has 75 members. if there is a 12% absentee rate per class meeting, find the mean and…

A:

Q: The time it takes a student to walk from the dorm to the chemistry lab follows roughly a Normal…

A: Let X be the time it takes a student to walk from the dorm to the chemistry lab which follows normal…

Q: To measure variability, why is the standard deviation usually preferred over the range? Give an…

A: (a) The standard deviation is used to calculate the variability of the data set. It tells us about…

Q: Entrance exam scores at Cititon University are normally distributed with a mean of 202 and a…

A:

Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers…

A: From the given information, Head breadths are normally distributed with mean 6.1 in and standard…

Q: SAT scores are normally distributed with a mean of 1500 and a standard deviation of 300. ACT scores…

A: Z-Score:             It is a dimensionless quantity that is used to indicate the signed, fractional,…

Q: The IQ test has a mean of 100 and a standard deviation of 15.  Suppose a simple random sample of 150…

A: Ans - Given, The IQ test has a mean μ = 100 and a standard deviation of σ = 15.  Suppose a simple…

Q: The data in a data set are normally distributed with a mean of 150 and a standard deviation of 30.…

A:

Q: Scores on a common final exam are normally distributed with a mean of 66 and a standard deviation of…

A:

Q: On a spelling test, the standard deviation is equal to 0.94. What does this mean

A: We know that the Standard deviation tells us that how much data is scattered around the mean value…

Q: top 19 percent are

A: Given that  High school students across the nation complete in a financial capability challenge each…

Q: Pearson revises books each semester and the mean number of pages for 2010 is 568 with a standard…

A: Let, X= number of pages  Given that X follows normal distribution with mean= 568 and standard…

Q: Sophia's final exams have an average of 78 and a standard deviation of 6. If she wants 4% of her…

A:

Q: The average score of this quiz is 24 points with a standard deviation of 1.5 points. What is the…

A: Let us assume that X=score of a quizX follows a normal distribution with mean=24 and standard…

Q: Entrance exam scores at Cititon University are normally distributed with a mean of 792 and a…

A:

Q: Full time Ph.D. students receive an average of $13,537 per year. If the average salaries are…

A: Introduction: Define X as the random variable of interest here, which denotes the salary of the…

Q: The mean grade on a final examination was 72 and the standard deviation was 9. The top 10% of the…

A: Mean(µ) = 72Standard deviations (σ) = 9

Q: A successful basketball player has a height of 6 feet 4​inches, or 193cm. Based on statistics from a…

A: The z-score identify that the value how many standard deviations from the mean. If the z-score is…

Q: Employees spend an average of 80 minutes on the phone each day. If standard deviation is 8 mins,…

A: Given , Employees spend an average of 80 minutes on the phone each day. If standard deviation is 8…

Q: Births weights in Norway are normally distributed with a mean of 3570g and a standard deviation of…

A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is…

Q: How many standard deviation above or below the average guitar cost is the guitar?

A: Given, The cost of guitar (X=$650) The mean cost of guitar is μX=$550 The standard deviation cost of…

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: Residents of an apartment send emails to the landlord on average, every 4 minutes, the standard…

A: Resident Sending an email to landlord  Mean 4 Standard Deviation 12 The landlord spends time…

Q: A successful basket ball player has a height of 6 feet 4 inches. Based on statistics his height…

A: As given, The basketball player has a height of 6 feet 4 inches and when his height is converted to…

Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers…

A: Given data: Head breadths are normally distributed with mean and standard deviation as:…

Q: Suppose ACT Reading scores are normally distributed with a mean of 21.3 and a standard deviation of…

A: Given DataMean = 21.3Standard Deviation = 6Top 5 % is given by Finding the Z-value corresponding to…

Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers…

A: It is given that the mean and standard deviation are 6.8 and 0.8, respectively.

Q: A forest ranger researching ecosystem recovery following forest fires collected data on a large…

A: Given that Mean = 3.2 feet Standard deviation = 0.6 feet

Q: Entrance exam scores at Cititon University are normally distributed with a mean of 310 and a…

A:

Q: Suppose ACT Reading scores are normally distributed with a mean of 21.3 and a standard deviation of…

A:

Q: Six different​ second-year medical students at Bellevue Hospital measured the blood pressure of the…

A: Given 126,138,132,138,124,122

Q: A quantitative data set has a size of 50. At least how many observations lie within seven standard…

A: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then, for any positive…

Q: Pearson publishes textbooks each semester and the mean number of textbook pages published by Pearson…

A: Given data,μ=568σ=150P(X>733)=?

Q: A test consists of 940 true or false questions. If the student guesses on each​ question, what is…

A: Given number of true or false questions = n = 940.Probability of correct answer p = 1/2Here we can…

Q: high school students across the nation compete in a financial capability challenge each year by…

A: It is given that, the students who score in the top 13 percent are recognized publicly for their…

Q: Can you find the mean and the standard deviation?

A: To find the mean and standard deviation of the given data: Mean is the sum of observations divided…

Q: A sample of data is given as below:3, 5, 7. What is the standard deviation

A: The formula for sample standard deviation is,

Q: Maple trees in a large forest have heights that are normally distributed with a mean of 95 feet and…

A:

Q: The mean score on EDA prelim exam is 60, with a standard deviation of 5.2. Between which two scores…

A: Given data: Mean = 60  Standard deviation = 5.2 To find:  Between which two scores must this mean…

Q: The body temperature of adults are normally distributed with a mean of 98.60 degrees and a standard…

A: a. The temperature that is represented by 90th percentile is, The Z-score that corresponds to 90th…

Q: what is the z score for a person who received an SAT mathematics score of 685?

A: Here Given, The mean mathematics score for seniors who took the SAT in 2018 was 531. If the standard…

Q: The reading speed of sixth grade students is approximately normal with a mean speed of 115 word per…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Rashid is 84 inches tall. If the height of males in the United States is normally distributed with a…

A: Given :                data point = 84                 mean = 70                standard deviation…

Q: Joe's average bowling score is 181, and is normally distributed with a standard deviation of 34.…

A: Given that, Joe's average bowling score is 181 Standard deviation = 34 Raw score = 227

Q: On a multiple choice test with 43 questions, each question has five possible answers, one of which…

A: The probability any randomly selected question will be correct will be: p=15   Consider X be the…

Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers…

A: It is given that the mean is 6.9 and the standard deviation is 0.9.