The test scores in a class are normally distributed with a mean score of 77. if the standard deviation is 6 will the probability of a student scoring more than 95 be greater or less than if the standard deviation is 15?.

Q: The scores on the board are Normally distributed with a mean of 67 and a standard deviation of 13.…

A: From the provided information,X~N (67, 13)The bottom 5% of students will fail.

Q: What is the probability that your score on an exam will be less than 65, if the mean on the exam is…

A: Let X be a continuous random variable of score on the exam is normally​ distributed with a mean of…

Q: A student has taken a 50-point exam and wants to know how his score of 38 compares to the scores of…

A: It is given that Mean = 40 Standard deviation SD = 4 Score X = 38

Q: The National Health and Nutrition Examination Survey (NHANES) reported that in a recent year, the…

A:

Q: he distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4…

A: Solution-: Let, X= The distribution of heights of adult males Given: (inches) We find, P[ he…

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: A recent poll found that 59% of adults believe the state of moral values is poor. For 400 randomly…

A: Here, n = 400 and p = 0.59

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: what if the standard deviation was 30, instead of 60

A:

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: The mean of a set of data is 108.06 and its standard deviation is 115.45 What is the z score for a…

A: Z-score = 3.3045 answer.

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: On a standardized examination, Laura received a score of 83, which was exactly 2 standard deviations…

A:

Q: The chloride concentration in the blood (mmol / liter) averages 104 with a standard deviation of 5.…

A: Given Data: Let X represent the random variable   X~ Normal (104, 52) n=200 Therefore, X¯ ~ Normal…

Q: The mean grade on a science test was 79 and there was a standard deviation of 6. If your sister…

A: The z score explains the deviations of the observations from the mean. It is calculated using the…

Q: population has a mean of 350 and a standard deviation of 25, determine the probability that a random…

A: GIVEN DATA, μ=350σ=25n=40p(335<x¯<375)=?

Q: The mean number of eggs that a person consumes per year is 293.6 pieces. Assume that the standard…

A: The number of egg consume are normally distributed with a mean 293.6 and a standard deviation of…

Q: A large number of applicants for admission to graduate study in business are given an aptitude test.…

A:

Q: The National Health and Nutrition Examination Survey (NHANES) reported that in a recent year, the…

A: Given information Mean (µ) = 202 Standard Deviation (σ) = 42 Sample size (n) = 49   Z score is given…

Q: statistics professor reported that the mean score in a recent quiz is 72 and the standard deviation…

A: Solution

Q: if a student scored 88 points on a test when the mean score was 80.2 and the standard deviation was…

A: From the provided information, Mean (µ) = 80.2 Standard deviation (σ) = 5.7

Q: Doug has 1,000 bottle caps in his collection compared to Melissa's 2000 bottle caps. If the average…

A: Given,mean(μ)=1250standard deviation(σ)=500Doug bottle cap collection(X)=1000Melissa's bottle cap…

Q: 500 freshmen at Crescent High School took an algebra test. The scores were distributed normally with…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: The average score on the Stats midterm was 70 points with a standard deviation of 6 points,…

A: Given that.   X~N( μ , ?)   μ=70    , ?=6  , Z-score = -1   Z-score =( x - μ )/?

Q: What is the probability that your score on an exam will be less than a 60, if the mean on the exam…

A: We have to find probability that your score on an exam will be less than a 60....

Q: Justin got a score of 85 on an GE MMW examination for which the mean is 75. Justin realized that the…

A: Considering the mean score in the specified examination as μ and variance of scores in the…

Q: Students receive an A+ on a 60 point test if they score 55 points or more.  The marks of a large…

A: Given: X~N(μ,σ)μ=50σ=5

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

A:

Q: Temperatures in a city are distributed approximately normal, with a mean of 69 degrees Fahrenheit…

A:

Q: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

A: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

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

A:

Q: A large number of applicants for admission to graduate for study in businesss are given an aptitude…

A: Let X denote the aptitude test scores and it follows normal distribution with mean of μ=400 and…

Q: A teacher wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10%…

A: Here we need to find the mean, median and mode for the given normal distribution. Also we need to…

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: 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: William revealed that he makes 1,000,000 dollars annually. The average annual income in the country…

A:

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: Dr. Smith administered a test to her statistic class with 25 questions that were worth one point…

A: If n is multiplied by each observation, the new value for mean is, E(n×X) = nE(X) If n is multiplied…

Q: A set of math test scores has a mean of 70 and a standard deviation of 8.  A set of English test…

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

Q: The final exam is worth 200 points with the usual 10% grading scale. Assume that the final exam…

A: Given Information: Mean (u) = 161 points Standard deviation (s) = 22

Q: On Bob's last history test, he had a score of 92.  Bob's z-score was -0.5, and the test's standard…

A: Solution -Given that Score in History test be X=92 Z- Score=-0.50 Standard deviation= 6 Find mean…

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.