Doug has 1,000 bottle caps in his collection compared to Melissa's 2000 bottle caps. If the average number of bottle caps in a collection is 1,250 with a standard deviation of 500, then Doug and Melissa share the same z-score.    True or False?

Q: The year Martina graduated college, she got a job as an entry-level software engineer working for a…

A: GivenMean(μ)=57000standard deviation(σ)=3700starting salary (x)=65000

Q: In your school with 400 Grade 11 students, the final examination in General Mathematics has a mean…

A:

Q: To be accepted into an honor society, a student must have a grade-point average (GPA) in the top 10%…

A: It is given that, to be accepted into an honor society, a student must have a grade-point average…

Q: A group of students wrote an entrance Math exam and the scores were normally distributed. The mean…

A: The scores were normally distributed with mean 750 and standard deviation 95 μ=750σ=95 Z-score is…

Q: The number of minutes spent reading in one day is normally distributed with a mean of μ = 23 and a…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if 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: 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: The year Ali graduated college, he got a job as an entry-level software engineer working for a firm…

A: Solution

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A:

Q: Which is better a score of 82 on a test with a mean of 65 and a standard deviation of 15, or a score…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Students at Arrowhead High School took an English test with a mean of 120 and a standard deviation…

A: Let X be a random variable of normal distribution with mean 120 and standard deviation 25.  Let Z be…

Q: Suppose you are told that a computer programmer in Portugal who makes $809.40 has a z-score of -0.50…

A: Solution: It is given that a computer programmer in Portugal who makes $809.40 has a z-score of…

Q: Jone works for a Italian dramatic agency whose workers had an average income this past year of…

A:

Q: A college entrance exam scores are approximately normally distributed with a mean value of 145 and a…

A: Solution: Let X be the college entrance exam score. From the given information, X follows normal…

Q: The year Deon graduated college, he got a job as an entry-level software engineer working for a firm…

A:

Q: The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a…

A:

Q: The golf scores for a school team were normally distributed with a mean of 68 and a standard…

A: Let X be the golf scores. It is given that X is normally distributed with mean 68 and standard…

Q: An incoming freshman took her college’s placement exams in French and mathematics. In French, she…

A:

Q: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: The provided information is:

Q: What is the percentile rank of the score 65?   In an English test , the mean is 60 and the…

A: Given X=65μ=60σ=6

Q: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

A: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

Q: The college physical education department offered an advanced first aid course last semester. The…

A: Given Information: The scores on the comprehensive final exam were normally distributed, and the  z…

Q: The mean score on the SAT in 2017 was 1060, and the standard deviation was 195. Assume the scores…

A: Given,  Mean μ=1060  Standard deviation σ=195Let x be score of a randomly selected person

Q: The typical college freshman spends an average of ?=150minutes per day, with a standard deviation of…

A: Solution: Let X be the time on social media. From the given information, X follows normal…

Q: The typical college freshman spends an average of ?=150 minutes per day, with a standard deviation…

A: Solution: Let X be the time on social media. From the given information, X follows normal…

Q: A nutritionist claims that the mean tuna consumption by a person is 3.5 pounds per year. A sample of…

A:

Q: The US department of Agriculture claims that the mean annual consumption of tea by a person in the…

A:

Q: A set of data items is normally distributed with a mean of 60. Convert the data item of 55 to a…

A: Given that: Mean = 60Standard deviation = 5Data item = 55

Q: What percent of the students received a score below 64, if the mean grade on a test was 70 and the…

A:

Q: The average income of a graduate from the University of Eastern West Virginia is $50,000 per year,…

A: X follows a Normal distribution with mean = 50000 and S.D = 2500 Then z=(x-mean)/SD =…

Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A: As we are entitled to solve one question at a time I will answer 2nd one as some information is…

Q: The local police force gives all applicants an entrance exam and accepts only those applicants who…

A: The score that corresponds to the top 15% is, The Z-score that corresponds to the area 0.85 is…

Q: Is is unusual for someone to run a 4 minute mile if the mean time is 10.2 minutes and the standard…

A: From the provided information, Mean (µ) = 10.2 Standard deviation (σ) = 2.9 X~N (10.2, 2.9)

Q: On the past mathematics test, the bottom 20% of students failed to pass the test. The mean for the…

A: The mean of the data is μ=55 and the standard deviation is σ=11 It is also given that 20% of…

Q: John scored 60 in a quiz in Math for which the average score of the class was 50 with a standard…

A: Z score is given by where, X is score is mean  is standard deviation

Q: My Physics professor announced that top 18% will get A in the class.               Class mean is 72,…

A: Let X= score of a student  Given that X follows a normal distribution with mean=72 and standard…

Q: What is the z-score if our standard deviation was 2, mean of 49 and our specific observation is 47?

A: Given: Standard deviation = 2 Mean= 49 Specific observation =47 Determine the Z- score using the…

Q: A student scored 76 on a general science test where the class mean and standard deviation were 82…

A: For Science x¯=82s=8x=76 z=x-x¯s=76-828=-0.75

Q: The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a…

A: Let "x" be the height of a man.

Q: A successful basketball player has a height of 6 feet 77​inches, or 201201 cm. Based on statistics…

A: Given information- Height of a player = 201 cm Z-score = 3.743 We know that standard height is given…

Q: A biologist found the wingspans of a group of monarch butterflies to be normally distributed, with a…

A: Given,Mean (μ) = 52.2Standard deviation (σ) = 2.3a) Required probability is…

Q: Jeffrey, as an eight-year old, established a mean time of 16.43 seconds for swimming the 25-yard…

A: Population mean = ? = 16.43 Population S.D = ? =0.8 Sample size = n =15 Sample mean = x̅ = 16

Q: Jessica, the owner of a medium-scale native handicrafts shop, knows from experience that the time…

A:

Q: on an exam, Tom scores 12 points above the mean and has a z-score of z=+2.00. the standard deviation…

A: It is given that the difference between mean and raw score is 12 and the z score is 2.

Q: If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12,…

A: It is given that the mean is 70 and the standard deviation is 12.

Q: In a multiple-choice examination in Chemistry, students Mikasa and Jean received scores of 82 and…

A: Given problem Given that   In a multiple-choice examination in Chemistry, students Mikasa and Jean…

Q: The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test…

A: Given distribution is bell shaped. In bell shaped distribution mean, median and mode are equal.…

Q: there are 75 students in the class and 20 students are getting a+ grade in the class find the mean…

A:

Q: In a study of Ridge View's boys' basketball team, the average height is 68 inches and standard…

A: Given that, In a study of Ridge view's boys' basketball team, the average height is 68 inches and…