You run a factory that produces widgets (no, you'll never escape the widgets). Widget diameters are distributed normally, with a mean of 122mm and a standard deviation of 10mm. You take a random sample of 16 widgets off the factory floor.  What is the probability that this sample average is greater than 118? Round your answer to three decimal places, eg 0.192.

Q: Find the z-score for the value 62, when the mean is 56 and the standard deviation is 2. O A. z=3.00…

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

Q: Naomi scores 39 on a test. The standard deviation is 6.00. Her z score is +1.5. What is the mean of…

A: given data x = 39 σ = 6z = 1.5μ = ?

Q: Suppose you select a sample of 2,000 high school seniors' verbal SAT scores. The mean and standard…

A:

Q: A group takes a Personality test of Extraversion and they all take the test. They find that the…

A: It is given that the mean and standard deviation are 50 and 10, respectively.

Q: A particular fruit's weights are normally distributed, with a mean of 722 grams and a standard…

A:

Q: In a sample of 152 people the average score was 74 with a standard deviation of 6. What is the…

A: Sample size = n = 152   Mean = 74  Standard deviation = 6

Q: The SAT scores for students are normally distributed with a mean of 1030 and a standard deviation of…

A:

Q: The average test score in a particular class is m=30. If you scored a 40 and the class (sample)…

A: Introduction: Denote the score of a randomly selected student in a class as X. It is given that the…

Q: A random sample of shoppers at a convenience store are selected to see how much they spent on that…

A: Standard deviation ,σ = 6.94confidence- level = 0.99So, level of significance = 1-0.99 = 0.01E =…

Q: A sample of 104 motels is selected from a large urban area and the price for a night of lodging for…

A: n = 104Mean = 100SD = 13One motel charged $68 per night which is 13th percentile Another motel…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: Solve the problem. The probability that an individual is left-handed is 0.18. In a class of 90…

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Q: A large group of students took a statistics test.               The mean score, from the scale of…

A:

Q: What is the sample mean of SAT-V? (Round to the hundredth place if it is necessary.) 2. Can the…

A:

Q: A group of students take a Statistics Exam where the average was M = 90 and the standard deviation…

A:

Q: Laura learned that the average GPA in her school is 3.6 with a standard deviation of 0.3. If her GPA…

A: From the given information,   Mean = 3.6 Standard deviation = 0.3   The objective is to find the…

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

A: mean (μ)=1543standard deviation (σ)=320 Z- score is given as Z=x-μσ The z- score of 1970 is…

Q: A sample of 129 motels is selected from a large urban area and the price for a night of lodging for…

A: A sample of 129 motels is selected.

Q: A set of exam scores is normally distributed and has a mean of 79.3 and a standard deviation of 7.4.…

A: Given datanormal distribution μ=79.3σ=7.4choose a random score less than or equal to this 0.0078we…

Q: A sample of 134 motels is selected from a large urban area and the price for a night of lodging for…

A: Let  be the price for a night of lodging for a single room.The percentile values:

Q: what is the probability that you will receive a grade that is between 89 and 97 on this exam?

A: The mean of grades for the latest statistics exam is 93 and SD is 4.

Q: A medical lab tested a sample of 8 vials of blood for acidity on the pH scale.  Use this data to…

A:

Q: The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 70…

A: let x be the amount of annual snowfall in certain mountain range follow normal distribution with…

Q: For student loans in a particular year, the standard deviation is $2 thousand. A random sample of…

A: Given information Standard deviation σ = 2 Sample size n = 100

Q: The chance that you win a game is 60%. How many times on average should an individual play this game…

A: We have given thatProbability (p) = 60% = 0.60Standard deviation ()  = 2.2

Q: Temperatures a city are distributed approximately normal, with a mean of 61 degrees fahrenheit and a…

A: Given data,Mean μ=61sd    σ=6P(X<70.5)=?

Q: y=3.1  n= 1.6 standard deviation  Find probability that the child spends less than 3.4 hours a day…

A: Given that If  y=3.1  n= 1.6 standard deviation

Q: Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 201, with a standard…

A: Mean(µ) = 201 Population Standard deviation(σ) = 40.8 N = 109 So , Sample standard deviation = σ /…

Q: A successful basketball player has a height of 6 feet 6 ​inches, or 198 cm. Based on statistics from…

A:

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: Assume you have taken 125 samples of size 81 each from a population. The population variance is 64.…

A: answer is 0.88

Q: As part of a study, 800 college football players are randomly chosen and their weights taken. The…

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Q: Students in the psychology department at General State University consumes an average of 7 sodas per…

A: We have to find correct answer..

Q: What is the probability that the sample mean cholesterol level is greater than 212? The probability…

A: Mean = 204and sd = 42.5

Q: A population has a mean of 75 and a standard deviation of 15. You randomly sample 9 from the…

A:

Q: Scores on an exam were normally distributed. Ten percent of the scores were below 60.0 and 80% were…

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Q: Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles…

A:

Q: Watch your cholesterol: The mean serum cholesterol level for U.S. adults simple random sample of 106…

A: Given that Mean cholesterol=196 Standard deviation =39 Sample size(n)=106

Q: Many college admissions want to know your class percentage in addition to your grades.  The grades…

A: Consider that a random variable x, defines the grades.

Q: You are considering taking two professors for a statistics course.  Both professors have an average…

A: Given information: Both professors have an average of 65%. The first professor has a standard…

Q: You are looking at taking two professors for a course. The first professor has an average grade of…

A: The theory of probability has its origin in the seventeenth century.The king of France who…

Q: The SAT scores for students are normally distributed with a mean of 1150 and a standard deviation of…

A:

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.