On the midterm, you scored a 78 and your friend scored a 57. The scores are normally distributed with a population mean of 63 and a population standard deviation of 8. What percentage of students scored between you and your friend? 96.99% -74.33% 22.66% 74.33%

Q: Online courses: A sample of 260 students who were taking online courses were asked to describe their…

A: Given: Sample size(n) = 260 Sample mean x¯    =5.41 Sample standard deviation (s) = 0.89 Confidence…

Q: In the diagram, about 68% of the scores fall within the shaded area, which is symmetric about the…

A: For 68%; Range can be given as Mean +/- SD

Q: Jason took his Siberian Husky dog to the veterinarian. The dog was put on a scale and found to weigh…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: n a final examination in mathematics, the mean was 72 and the standard deviation was 15. Determine…

A: Given : On the final examination in Mathematics ; Mean (μ) = 72 Standard deviation (σ) = 15 Let X be…

Q: At Tokyo Disney, the attractions have a mean capacity of 690 people, with a standard deviation of…

A: Given:  let x be the no of people with mean=690 and standard deviations=564  to find z score at…

Q: Yearling Angus steers had a mean weight of 1152 pounds with a standard deviation of 84 pounds.…

A:

Q: The mean is μgirl(s). (Round to one decimal place as needed.) The standard deviation is a = girl(s).…

A:

Q: The mean score on an English test was 74 with a standard deviation of 3. The mean score on a history…

A: topic - coefficient of variation

Q: Anna Grace took the ACT and got a score of 31 on the math portion of the exam.  The scores are…

A: Proportion of students Anna Grace scored lower than is 0.0047 (0.47%).

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

A: Given: μ = 69 σ = 2.8 Z = 1.3

Q: Gabriel and Lucia took a road trip across the country. The room costs, in dollars, for their…

A: Here AS PER GUIDELINES I have calculated first main question  Here calculated mean and standard…

Q: On the planet of Mercury, 4-year-olds average 2.9 hours a day unsupervised. Most of the unsupervised…

A: Given data,μ=2.9σ=1.7

Q: You measure the height of 10 people and come up with an average of 70 inches and a standard…

A: x=70s=4n=10 The t scores for 68 inches, t=68-xsn=68-70410=-1.581139

Q: In a dependent sample t-test, you calculate the standard deviation for the  a) difference scores b)…

A: In this we have to tell that, for what values we calculate the standard deviation while using the…

Q: 3. In the population, the average IQ is 100 with a standard deviation of 15. A team of scientist…

A: To test, Null hypothesis: New medication has no effect on intelligence.  Alternate hypothesis: New…

Q: Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout.…

A: Givenaverage length of trout caught in Pyramid Lake is μ = 20 inches.Sample size = 37sample mean =…

Q: In a recent study on world​ happiness, participants were asked to evaluate their current lives on a…

A: Given that mean =5.4,s.d =2.6 ​(a) What response represents the88th​percentile?​(b) What response…

Q: A distribution of N = 10 scores has μ = 50 and σ = 10. If another five individuals, all with scores…

A: Given Data: N=10 μ = 50 σ = 10   Five individual all with scores X=50 are added

Q: In a recent study on world​ happiness, participants were asked to evaluate their current lives on a…

A: Given : μ = 5.8σ = 2.4

Q: On the planet of Mercury, 4-year-olds average 2.9 hours a day unsupervised. Most of the unsupervised…

A: Note: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

A:

Q: The brand of corn flakes come in a box that says it holds 32 ounces of cereal. The manufacturer says…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: The average life of a car tire is 50,000 miles.  The standard deviation is 2,000 miles   What…

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is…

Q: In a particular examination, the mean score is 82 and the standard deviation is 3.7. What is the Z-…

A:

Q: You survey 5 of your friends regarding their score on a test. The results are as follows: 80 50 95…

A: Solution: Let X be the test score. The given data is 80, 50, 95, 90 and 70.

Q: Jesse scored a +12 while golfing and, 18 points while playing basketball. The statistics for his…

A: The mean and standard deviation of sport golfing are 14.2 and 3.2, respectively.

Q: A commuter travels many miles to work each morning. She has timed this trip 5 times during the last…

A: Given time required to make the trip is, 44, 39, 41, 35, 41   What is the standard deviation for…

Q: In a recent study on world​ happiness, participants were asked to evaluate their current lives on a…

A: Let the random variable X denotes the responses of participants who were asked to evaluate their…

Q: Highway driving speeds are normally distributed with a mean of 62.4 and a standard deviation of 10.6…

A: Given information- Population mean, µ = 62.4 Population standard deviation, σ = 10.6 We have given…

Q: On the planet of Mercury, 4-year-olds average 3.2 hours a day unsupervised. Most of the unsupervised…

A: As per the guidelines, we are only allowed to solve three subparts. Please post the remaining…

Q: Determine the class average if the standard deviation was 8% and Henry’s mark of 85% is equivalent…

A: Given that,  The standard deviation =8%, Marks of Henry's =85%, and z-score =1.30.

Q: The scores on a psychology exam were normally distributed with a mean of 67 and a standard deviation…

A: The scores on a psychology exam were normally distributed with a mean of 67 and a standard deviation…

Q: The heights of women are normally distributed with a mean of 65 inches and a standard deviation of…

A: From the provided information, Mean (µ) = 65 inches Standard deviation (σ) = 2.5 inches Let X be a…

Q: What is the standard deviation for these students' quiz scores

A: Let X denote the score on the quiz. We have to calculate the SD of X.

Q: Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout.…

A:

Q: What is the average score for those who work well with others in teams with the standard deviation?

A:

Q: The state and will spend 15 hours average a week and class and the standard deviation is 2 hours…

A:

Q: What is the test statistic for this test?

A: The population mean is $50,000, sample size is 100, sample mean is $50,250, and sample standard…

Q: You received a score of X=84 on your last Art History exam.  The class mean was µ=70 and there was a…

A: From the information, X=84 , µ=70 and ∂=8.

Q: Susie and Joan complain that they make very little money at their jobs; they are both radio…

A: Given that

Q: In a recent study, the serum cholesterol levels in men were found to be normally distributed with a…

A: Here, mean is 196.7 and standard deviation is 39.1.

Q: Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout.…

A: Given information Hypothesized mean µ = 19 inches Sample size (n) = 49 Mean x̅  = 18.5 inches…

Q: In a certain microwave oven on the high power setting. the time it takes a randomly chosen kernel of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: On a standardized test, Sara had a score of 93, which was exactly 2 standard deviations above the…

A: The normal distribution in the center is generally denser and basically less dense at tails. There…

Q: The mean critical reading score for seniors who took the SAT in 2018 was 536. If the standard…

A: Given Mean μ=536, standard deviation σ=115  X=435

Q: A standardized test has a mean of 88 and a standard deviation of 12. What is the score at the 90th…

A:

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: z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6…

A: According to the provided information,

Q: find the mean and standard deviation for A B C Sample a: 12. 21.30 Sample b: 70, 79,88 Sample…

A: Given information- We have given 3 samples. Sample a, sample b, sample c. We have to find the mean…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.