At a tennis tournament a statistician keeps track of every serve. The statistician findsthat the mean serve speed of a particular player was 110 miles per hour (mph) and thestandard deviation of the serve speeds was 5 mph. Assume that the distribution of theserve speeds was bell shaped. Using the Empirical Rule, find the following.a) percent of serves expected to be above 120mph.b) proportion of serves expected to be between 105mph and 125mph.c) proportion of serves expected to be below 105mph.d) percent of serves expected to be within 3 standard deviations of the mean.

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Answered: At a tennis tournament a statistician…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. A study was conducted to investigate the relationship between the size of a house (in square feet) and the selling price of a house (in dollars). The response variable is price in dollars, and we want to study if the covariate of the square footage helps explain the response. A random sample of 522 houses was used, and the linear regression output from R is below. price sqft, data = house) 1m (formula = Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -81432.946 11551.846 -7.049 5.74e-12 *** sqft 158.950 4.875 32.605 < 2e-16 *** Residual standard error: 79120 on 520 degrees of freedom Multiple R-squared: 0.6715, Adjusted R-squared: 0.6709
Which of the following data sets has the smallest standard deviation? a. 1, 2, 3, 4, 5 b. 100, 100, 100, 100, 100 c. 100, 101, 102, 103, 104 d. 2, 4, 6, 8, 10
The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $235 and a standard deviation of $20. According to the standard deviation rule, almost 2.5% of the students spent more than what amount of money on textbooks in a semester? A. O $195 B. $215 C. $235 D. $275 E. $295
In nutrition, the recommended daily allowance of vitamins is a number set by the government to guide an individual's daily vitamin intake. Actually, vitamin needs vary drastically from person to person, but the needs are closely approximated by a normal curve. To calculate the recommended daily allowance, the government first finds the standard deviation and the average need for vitamins among people in the population. The recommended daily allowance is then defined as the mean plus 2.7 times the standard deviation. What fraction of the population will receive adequate amounts of vitamins under this plan? Click here to see page 1 of the table for areas under the standard normal curve. Click here to see page 2 of the table for areas under the standard normal curve. The fraction of the population that will receive adequate amounts of vitamins under the given plan is (Type an integer or decimal rounded to the nearest thousandth as needed.)
The length of time it takes for a worker to perform certain task (in minutes) was recorded for 10 workers. The resulting data values were the following: 5, 3, 11, 7, 6, 9, 4, 8, 7, 10 Find the mean, median, mode, range, variance and standard deviation. In the answers for the mean, variance, and standard deviation leave one digit after decimal point. a. Mean = d. Range = b. Median = e. Variance = c. Mode = f. Standard deviation =
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
A particular hospital's birthweight distribution is discovered to have a mean of 2700 g and a standard deviation of 200 g. Which of the following value ranges can we expect 95 percent of all birthweights at that hospital to fall within? O a. (2400, 3000) O b. (2500, 2900) O c. (2605, 2795) d. (2600, 2800)
Find the mean deviation about median for the following distribution : x : 5 7 11 13 15 17 f: 2 4 6 8 10 12 8
Use the following information for the question. The average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed.Which of these statements is asking for a measurement (i. e. is an inverse normal question)? A.What percentage of people living and working in Kokomo have a travel time to work that is between thirteen and fifteen minutes? B.If 15% of people living and working in Kokomo have travel time to work that is below a certain number of minutes, how many minutes would that be?
Use the following Frequency table to calculate the standerd deviation. Class Frequency 2……4 4 5……7 6 8…….10 3 11…..13 2 14…..16 5
In nutrition, the recommended daily allowance of vitamins is a number set by the government as a guide to an individual's daily vitamin intake. Actually, vitamin needs vary drastically from person to person, but the needs are very closely approximated by a normal curve. To calculate the recommended daily allowance, the government first finds the average need for vitamins among people in the population, and the standard deviation. The recommended daily allowance is then defined as the mean plus 2.5 times the standard deviation. What is the recommended daily allowance for a vitamin with mean u and standard deviation o? recommended daily allowance =

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