Many cities sponsor marathons each year. The following histogram shows the distribution of times that it took for 10,002 runners to complete the Rome marathon in 2008, with a normal curve superimposed. The fastest runner completed the 26.3-mile course in 2 hours and 9 minutes, or 129 minutes. The average time was 245 minutes and the standard deviation was 40 minutes. Use the normal curve to answer the following questions.  (a) What percentage of times were greater than 200 minutes? (b) What is the 60th percentile of the times?  (c) Notice that the normal curve approximation is fairly good except around the 240-minute mark. How can we explain this anomalous behavior of the distribution?

Q: The time for degree completion was record below. Years 4 6 5 6 5 8 Calculate the standard…

A: Calculation:The number of observations on time for degree completion (years) is, n = 6. Denote xi as…

Q: Compare the percentiles to the quartiles respectively. Are the values different?

A: We have to compare the percentiles and quartiles of the given data. Percentiles are the 99 points…

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: Refer to the accompanying table, which describes the number of adults in groups of five who reported…

A: The data on the number of adults in a group of five are given as…

Q: Find the 5 number summary for the data shown 4 6 18 28 45 48 61 68 75 76 87 88 89 90 91 5 number…

A: To find the 5 number summary of a data set, you need to find the smallest data value (minimum), the…

Q: Seventy-six percent of Americans favor spending government money to develop alternative sources of…

A: Given that  p = 75%    and.   n = 140 By using the Binomial distribution

Q: Find a. the​ mean; b. the deviation from the mean for each data​ item; and c. the sum of the…

A: Given that Data items : 2.50​, 3.60​, 2.70​, 2.30​, 3.90 Sum of data values = 2.50 + 3.60 + 2.70 +…

Q: Use the following cell phone airport data speeds (Mbps) from a particular network. Find the…

A:

Q: Refer to the accompanying table, which describes the number of adults in groups of five who reported…

A:

Q: C C C

A: Make frequency tables for the following data sets. Include columns for relative and cumulative…

Q: Illustration 10.7. Compute the standard deviation by the short method for the following data: 11,…

A: Data given  11,12,13,14,15,16,17,18,19,20,21

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: Use the following cell phone airport data speeds (Mbps) from a particular network. Find the…

A: Use the following cell phone airport data speeds (Mbps) from a particular network. Find the…

Q: In my homework assignment, I have a concern about standard deviation do I have to round it to two…

A: Rounding-off must always be done as per the instruction in the  question. In the absence of an…

Q: Use the following cell phone airport data speeds (Mbps) from a particular network. Find the…

A:

Q: alculate the median of the data shown, to two decimal places, 24.4,11.1,2.1,29,8.7,6.9,6.6,1.1

A: The given data is 24.4,11.1,2.1,29,8.7,6.9,6.6,1.1

Q: For each data set, find the mean, median, and mode. 58 59 64 75 625 63 73 56 62 63 68 64 67 GONG 64…

A: 4. Recall that the sample mean Xˉ is the sum of all the values in the collection divided by the…

Q: Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a…

A: Let X be a random variable such that X: Height of the children Since the sample is large (500)…

Q: Calculate the 30th percentile of the data shown

A: Data Set :12.713.11621.221.524.82728.930.2

Q: Find the variance for the given data. Round your answer to one more decimal place than the original…

A:

Q: 1980 alcohol consumption per capita in the United States? (Round to the nearest percent.)

A: Given: The data given is as follows Australia 9.7 Austria 11.1 Belgium 11.5 Canada 7.6…

Q: In the equation for computing the standard deviation, n represents what? a. the average b. the mean…

A: Given that Formula for standard deviations Sd=√{∑(x- x̄)/n}

Q: You want to know the percentage of financial services companies that earned revenue less than 8181…

A: The objective of this question is to find the percentage of financial services companies that earned…

Q: Calculate the 54th percentile of the data shown X 2.2 6 8.6 14 16.4 20.5 23.4 26.7 42.6 59.3…

A: Here's the calculation of the 54th percentile for the given data:Data: 2.2, 6, 8.6, 14, 16.4, 20.5,…

Q: What is the coefficient of variation of a data, which has a standart deviation 28 and mean as 400?…

A:

Q: 2000 5 2001 2002 2003 4. 2004 2005 2006 2007 3 4. Find the mean, median, mode, standard deviation…

A:

Q: If a one-person household spends an average of $76 per week on groceries, find the maximum and…

A: It is given that the mean is 76 and the standard deviation is 6.

Q: distribution of the height of a tomato plant is normal with population mean of 50 inches. The 80th…

A: Provided data is, distribution of the height of a tomato plant is normal with population mean of 50…

Q: In some reports, the mean and coefficient of variation are given. For instance, one report gives the…

A: given data  cv = 1.9% μ = 3.2σ = ?

Q: One of the following measures may take more than one value: Select one: a. Median. b. Mode. c. Mean.…

A: Median, mean and standard deviations take only one value.

Q: Last year the revenue for utility companies had a mean of $60 million with a standard deviation of…

A:

Q: A data set has five values. The 45th and the 55th percentile are both 25. The largest value is 125,…

A: We have to given that,   data set has 5 values i.e. n=5 and 45th percentile = 55th percentile = 25…

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

A:

Q: 3. Compute for the following, given these data: 132, 144, 127, 152, 101, and 165. a. Coefficient of…

A: Provided data is:132, 144, 127, 152, 101 and 165.Arranging data in ascending order; 101, 127, 132,…

Q: Illustration 10.4. Compute the standard deviation for following data: 11. 12. 13. 14, 15, 16, 17,…

A:

Q: The following data values represent the daily amount spent by your family during a seven day summer…

A: Standard deviation= √E(X2)-((E(X))2 E(X)= (summation Xi)/n E(X2)= (summation Xi2)/n Sample size is…

Q: Salaries for the research and development department are given as $48,345; $27,617; $42,591;…

A: Data given 48345,27617,42591,19539,32450,37574

Q: Find the 5 number summary for the data shown 9. 18 20 35 44 47 48 64 65 97 5 number summary: Use the…

A: