A corporation that maintains a large fleet of company cars for the use of its sales staff is interested in the mean distance driven monthly per sales person. The following list gives the monthly distances in miles driven by a random sample of 15 sales persons. 2445, 1895, 2304, 2300, 2684, 2691, 1887, 2461, 2348, 2083, 2299, 2052, 2512, 1962, 2383 Send data to calculator Send data to Excel Based on this sample, find a 99% confidence interval for the mean number of miles driven monthly by members of the sales staff, assuming that monthly driving distances are normally distributed. Then find the lower limit and upper limit of the 99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: O ? Upper limit:I

Q: Calculate the standard deviation. Variance = 107.76. Mean = 34.2 (Round up to the second decimal…

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Q: (a) If 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their…

A: The mean of the men is 193 and the standard deviation is 68 pounds.

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: For a population, the mean is 275 yards with a standard deviation of 73 yards. Determine the…

A: To determine the probability of a sample of 30 having a mean of 285 yards or lower, we can use the…

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

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Q: Will you provide an example of Standard Deviation math problem and solution?

A: Standard deviation:The standard deviation indicates by how much each observation differs from a…

Q: The time taken to boil a kettle is normally  distributed with a mean of 94 seconds and  a standard…

A: The provided information is  µ=94 σ=6 P(-a<X<a)=0.40…

Q: On a spelling test, the standard deviation is equal to 0.94. What does this mean

A: We know that the Standard deviation tells us that how much data is scattered around the mean value…

Q: A class has a average height of 68 inches and a standard deviation of 2 inches. What percent of the…

A: Let x be the height which follows normal distribution with mean 68, and standard deviation 2. The…

Q: Would you be able to help with Standard Deviation along with the range, mean, mode, and median?

A: Measures of variability:The measure of variability or the measures of dispersion can be measured…

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

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Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

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Q: In one sentence, please write what you understand by the term standard deviation.

A: Standard deviation is a measure of dispersion or spread of the data set relative to its mean.

Q: How high must a 2016 Vehicles gas mileage be to fall in the top 15% of all vehicles? normal mean is…

A: Given information: normal mean is 23.0mpg standard deviation is 4.9mpg

Q: Explain an important difference between the standard deviation and the mean.

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Q: If the highest paid soccer platyer has his salary doubled, which of these will change? Can you…

A: We have to find correct options which will change.

Q: The mean height of women is 62 inches with standard deviation of 4 inches. What percent of women are…

A: From the given information, Mean height (µ) = 62 inches Standard deviation (σ)= 4 inches Thus, the…

Q: 9. Weights of walleye in a lake are normally distributed with mean 4.8 pounds and a standard…

A: A z-score represents the position of a data point in terms of its distance from the mean when…

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: How is standard deviation a measure of distance?

A: We know that the standard deviation is the measure of the dispersion of data which is based on…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!