6.21. For two observations 'a' and 'b', show that standard deviation is half the disto between them.
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A: Given dataa grocery store buys milk for $2.10 and sells at $2.60And given mean is 2700 and standard…
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A: Sample size (n) = 25 Mean (x̅) = 69.72 inches Standard deviation (s) = 4.15 inches
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Q: Suppose the mean and standard deviation of the GPAs at Loyola are Xbar = 2.951; and s = 0.573…
A: Given, X_bar = 2.951 s = 0.573 z_score = -0.720
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A: It is given that the mean is 50 and the standard deviation is 20.
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Q: Suppose that the mean systolic blood pressure for women over age seventy is 131 mmHg (millimeters of…
A: Given data: Mean =131 Standard deviation = 7
Q: The heights(in inches) of males in the U.S. are believed to be normally distributed with mean. The…
A: Given: Standard deviation (s) = 4.15 Sample size (n) = 25
Q: Use the z table to find the value k so that 40% of the scores are greater than k.
A: Normal distribution is widely used in statistics . It is very useful in modern times .
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Q: Assume that the professor in a class assigns grades based on the following: A: Scores which are 1.5…
A: We first find the mean For standard deviation, we make a table Then we add the values in the…
Q: b. Find the mean and standard deviation of x. (Round to three decimal places as needed.) II
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Q: Assume that the professor in a class assigns grades based on the following: A: Scores wich are 1.5…
A: The mean and standard deviation of the scores can be calculated as;
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A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…
Q: Ex. 4. The mean and standard deviation of the marks obtained by 1000 students in an examination are…
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Q: Suppose that you have a X= 75 on an exam with Ú=70. Which standard deviation would give you a better…
A: Given : Suppose that you have a X= 75 on an exam with Ú=70
Q: Suppose the scores on an exam have a mean of 70 with a standard deviation of 10. If one student has…
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Q: Suppose that, for a certain exam, a teacher grades on a curve. It is known that the mean is 50 and…
A: Given mean is 50 and the standard deviation is 5. There are 35 students
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A: Mean is the location of average and it a measure of central tendency. It is calculated by adding all…
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A: Calculating The standard normal variate i.e. z-score for 82 marks with mean =70 and standard…
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A: Given that masses of newborns are normally distributed with a mean of 6.6 lbs. and a standard…
Q: Suppose that, for a certain exam, a teacher grades on a curve. It is known that the mean is 65…
A: Given data: Mean μ=65 standard deviation σ=5
Q: Suppose that the mean systolic blood pressure for women over age seventy is 131 mmHg (millimeters of…
A: According to the given information, we have Mean = 131 and Standard deviation = 9
Q: The tallest living man at one time had a height of 246 cm. The shortest living man at that time had…
A: The provided information is µ=170.86 cmσ=8.41 cmThe z score for tallest living man at one time time…
Q: A group of students take a exam and the adverage was m = 90 and the standard deviation was 7.8.…
A: Standard normal distribution: The standard normal distribution is a special case of normal…
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A: Empirical rule says that in a normal data set, virtually every piece of data will fall within three…
Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…
A: Given data mean=69.0 inches standard deviation=2.8 inches x=79.7 inches
Q: Morgan earned a score of 275 on Exam A that had a mean of 300 and a standard deviation of 25. She is…
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Q: T'he mean and standard deviation of a set of 100 observations were worked out as 40 and 5…
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Q: Suppose that, for a certain exam, a teacher grades on a curve. It is known that the mean is 65…
A: According to Empirical rule, middle 68.2% of students receive C. Nreceive C=0.682×25…
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A: Hello there! there are more than 3 subparts in the question. According to our policies cannot answer…
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Q: In 2007, the mean rate of violent crime (per 100,000 people) for 10 regions in the northeast of a…
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Q: The mean of fifty sales receipts is $65.75 and the standard deviation is $10.55. Using Chebyshev’s…
A: Here, The mean of fifty sales receipts is $65.75 and the standard deviation is $10.55. Chebyshev’s…
Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…
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Q: Q.3 Assume that the heights of men are normally distributed with a standard deviation of 2.5 inches.…
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Q: Suppose the mean and standard deviation of the GPAs at school are Xbar = 1.487; and s = 1.332…
A: Given: Let X be the random variable denoting the GPA of every student. and GPAs are normally…
Q: Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is…
A: First find the standardised Z score and the make equivalency
Q: Suppose you are working with a data set that is normally distributed with a mean of 400 and a…
A: The normal distribution: A continuous random variable X is said to follow normal distribution with…
Q: Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of…
A: Given,mean(μ)=0.2standard deviation(σ)=0.05
Q: After 6 points have been added to every score in a sample, the mean is found to be M = 70 and the…
A: Given Data: After 6 points have been added Mean=70 SD(X)=13 Let Y be the variable after adding the…
Q: Suppose the scores on an exam havea mean of 70 with a standard deviation of 10. If one student has a…
A: Mean = 70 Std dev = 10
Q: With a height of 69in, Marvin was the shortest president of a particular club in the past century.…
A: (a). Find the positive difference between Marvin’s height and mean: The height of Marvin is x = 69…
Q: Suppose the mean and standard deviation of the GPAs at school are Xbar = 1.654; and s = -0.562…
A: Standard deviation is denoted by s and it can never be negative. The question is solved by taking s…
Q: The heights of adult females are normally distributed with mean 160 cm and standard deviation 8 cm.…
A: The following information has been provided: Also, Pr(X≥k) = 0.025
Q: From previous experience it is known that the percentage yield of a chemical process is normally…
A: Here use basic of confidence interval
Q: On an exam with a standard deviation of σ = 6, Tom’s score of X = 54 corresponds to a z-score of z =…
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