Question

In: Statistics and Probability

In the 145 years of the running of the Kentucky Derby, the overall average speed of...

In the 145 years of the running of the Kentucky Derby, the overall average speed of the horses under all track conditions has been 35.9025mph. Only nine years have been run under sloppy track conditions, including the last two years. Sloppy track conditions occur when the track is saturated with water with standing water visible. The speeds (mph) of the horses in these nine years were: 36.31, 36.23, 36.62, 36.16, 36.69, 36.27, 36.41, 35.89, and 35.27. Find the

Geometric mean

Arithmetic Mean

Median

Mode

Midrange

Midhinge

Trimmed Mean

Weighted mean (use sequence number as the weights)
Hint: The weight for 36.31 is 1, the weight for 36.23 is 2, the weight for 36.62 is 3,... and the weight for 35.27 is 9.

Standard deviation

Inner Quartile Range (IQR)

Variance

Flag this Question

Question 122.5 pts

Range

Flag this Question

Question 132.5 pts

Mean Absolute Deviation (MAD)

Coefficient of Variation (CV)

Skew

Kurtosis

Anderson-Darling Normality Test p-value

Lower Inner Fence of the Boxplot

Value of the most extreme outlier (if present)

Z-score for the first value in the dataset

Expert Solution

orchestra answered 1 year ago

1. A young adult German Shepherd can reach, on average, a top running speed of 30...

1. A young adult German Shepherd can reach, on average, a top running speed of 30 mph with a standard deviation of 3.5 mph. Suppose that the top speeds of German Shepherds running is approximately normally distributed. (a) Approximately what percentage of young adult German Shepherds can run between 23 mph and 37 mph. Explain how you know without using any tables. (b) Find the 95th percentile of top running speed of young adult German Shepherds. 2. Give an example...

Anita is running to the right with a speed of 6 m/s

Anita is running to the right with a speed of \(6.0 \mathrm{~m} / \mathrm{s}\), as shown in the figure. Balls 1 and 2 are thrown toward her by her friends (standing still on the ground). As measured by Anita, both balls are approaching her at a speed of \(11 \mathrm{~m} / \mathrm{s}\).You may assume all the motions are completely horizontal.a) According to her friends, what is the magnitude and direction of the velocity of ball \(1\left(\vec{v}_{1}\right) ?\)b) According to her...

The tub of a washer is in a spin-dry cycle, running at a constant angular speed...

The tub of a washer is in a spin-dry cycle, running at a constant angular speed of 77 rad/s for a duration of 10s. After 10s, the lid is opened and the safety switch turns off the washer. The tub slows down to rest in 5s. Find the total angular displacement (for entire 15s) in (a) radians = (b) revolutions =

What two variable are correlated (such as strength and running speed), they are associated with one...

What two variable are correlated (such as strength and running speed), they are associated with one another. But if they are associatrd with one another, then why doesnt one cause the other?

A scientific study on speed limits gives the following data table. Average speed limit Average annual...

A scientific study on speed limits gives the following data table. Average speed limit Average annual fatalities 25 16 27 29 29 38 32 71 35 93 Using technology, it was determined that the total sum of squares (SST) was 4029.2, the sum of squares regression (SSR) was 3968.4, and the sum of squares due to error (SSE) was 60.835. Calculate R2 and determine its meaning. Round your answer to four decimal places. Select the correct answer below: R2=0.0153 Therefore,...

According to the Kentucky Transportation Cabinet, an average of 167,000 vehicles per day crossed the Brent...

According to the Kentucky Transportation Cabinet, an average of 167,000 vehicles per day crossed the Brent Spence Bridge into Ohio in 2009. Give the state of disrepair the bridge is currently under, a journalist would like to know if the mean traffic count has increased over the past five years. Assume the population of all traffic counts is bimodal with a standard deviation of 15,691 vehicles per day. a. What conjecture would the journalist like to find support for in...

A student is running at her top speed of 5m/s to catch a bus, which is...

A student is running at her top speed of 5m/s to catch a bus, which is stopped at a bus stop. When the student is still 80m behind the bus, it starts to pull away, moving with a constant acceleration of 0.1m/s2. (a) How much time will be needed for student to catch the bus? (b) What distance does the student have to run before she catches the bus? (c) When she reaches the bus, how fast is the bus...

A linebacker with mass m1 = 90.0 kg running east at a speed v1 = 3.00...

A linebacker with mass m1 = 90.0 kg running east at a speed v1 = 3.00 m/s tackles a fullback with mass m2 = 100. kg running north at a speed v2 = 5.00 m/s. The linebacker holds on to the fullback after the tackle, so that the collision is perfectly inelastic. The common speed of the players immediately after the tackle is closest to:

An advertisement for a speed-reading course claimed that the "average" reading speed for people completing the...

An advertisement for a speed-reading course claimed that the "average" reading speed for people completing the course was 1000 words per minute. Shown below are the actual data for the reading speeds per minute for a sample of 24 people who completed the course. Complete parts (a) through (c) below. 1000 900 600 1000 900 850 650 1000 1050 800 1000 850 700 750 650 950 700 1050 600 1100 950 1100 750 650 a. Find the mean, median, mode,...

The wind speed in Laramie, Wyoming is normally distributed. The average wind speed for the state...

The wind speed in Laramie, Wyoming is normally distributed. The average wind speed for the state of Wyoming is approximately 20 mph. A curious student wanted to find out if the wind speed in Laramie was different than the state average. They took a sample of 25 random days in Laramie, measured the wind speed, and found an average of 18 mph with a standard deviation of 7.8 miles per hour. Test the claim that the average wind speed in...