Question

Alyssa performed an experiment to measure the acceleration of a falling ball. She ran the experiment many times. Her results were distributed normally, with a mean of 9.75 meters per second and a standard deviation of 0.08 meters per second. Alyssa can be 95% sure that her next measurement will fall between the values of and meters per second.​

Answer 1

Answer:

Alyssa can be 95% sure that her next measurement will fall between the values of  9.59  and  9.91  meters per second.

Step-by-step explanation:

I just took the test and got it right

Answer 2

The 95% measurement will fall between  9.59 m/s and 9.91 m/s

Given;

the mean of the normal distribution, m = 9.75 m/s

standard deviation from the mean, d = 0.08 m/s

To find:

the range of Alyssa's 95% data

let this range = X

The 95% of the data will fall within 2 standard deviation below and the above the mean.

2 standard deviation below the mean = m - 2d

2 standard deviations above the mean = m + 2d

From the given values,  m - 2d = 9.75 - 2(0.08) = 9.59 m/s

                                       m + 2d = 9.75 + 2(0.08) = 9.91 m/s

Thus, the range of the 95% data = 9.59 m/s < X < 9.91 m/s

To learn more about standard deviation, please visit: https://brainly.com/question/22826298