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- Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.An individual has been exercising at a local gym for about 10 years. He always begins with a 10- to 15-minute session on the treadmill at a speed of 3.7 mph. During a 12-day period in 2010, he recorded his heart rate before using the treadmill and after 5 minutes of use. The data are shown in Table 8.37 (image attached). The subject also recorded his heart rate at baseline and 5 minutes after starting the treadmill exercise (at a speed of 2.5 mph) in 2000. The data are shown in Table 8.38 (image attached). Implement a test to compare the baseline heart rate initially (2000) and after 10 years of experience (2010), and report a two-sided p value.Researchers compared two groups of female competitive rowers: a group of skilled rowers and a group of novices. The researchers measured many mechanical aspects of rowing style as the subjects rowed on a Stanford Rowing Ergometer. One important variable is the angular velocity of the knee, which describes the rate at which the knee joint opens as the legs push the body back on the sliding seat. The data shows no outliers or extreme skewness. Here is the computer output: TTEST PROCEURES Variable: KNEE GROUP N Mean Std Dev Std Error SKILLED 10 4.18283335 0.47905935 0.15149187 NOVICE 8 3.01000000 0.95894830 0.33903942 Variances T DF Prob>|T| Unequal 3.1583…
- Astronomer Edwin Hubble postulated a relationship between the distance between Earth and the velocity at which a galaxy appears to be traveling away from Earth. The following table shows observations of seven galaxies. Distance is measured in megaparsecs (1 Mpc is approximately 3,260 light-years), and velocity is measured in kilometers per second. Distance (Mpc) Velocity (km/s) 51.8 4,590 12.2 1,234 271 17,695 46.2 3,752 58.2 5,118 46.2 3,752 29.1 1,734 (a) Find the equation of linear regression line for the data where distance is the independent variable, x, and velocity is the dependent variable. (Round your numerical answers to two decimal places.) ŷ = (b) Using the equation from part (a), estimate the velocity (in kilometers per second) at which a galaxy 110 Mpc from Earth is traveling. (Round your answer to the nearest whole number.) km/sIdentical twins come from a single egg that split into two embryos, and fraternal twins are from separate fertilized eggs. Also, identical twins must be of the same sex and the sexes are equally likely, and sexes of fraternal twins are equally likely. Use the data table to complete parts (a) and (b) below. Sexes of Twins boy/boy boy/girl girl/boy girl/girl ID 3 0 0 3 FRT 5 5 5 5 After studying the sonogram more closely, the physician tells the pregnant woman that she will give birth to twin boys. What is the probability that she will have identical twins? That is, find the probability of identical twins given that the twins consist of two boys.(Please do not give solution in image format thanks) Question 3. Five students taking a Business Statistics module at MANCOSA were asked to provide an example of a variable they have encountered in their day-to-day life. Their responses are as follows: Student Variable Lungani The body temperature of a patient diagnosed with COVID-19 Nsika The price of a technology company stock on the NASDAQ Thembekile The age of his bull mastiff Mduduzi The number of female students in Mduduzi’s Python class Which student/s provided a continuous true